{"id":1691,"date":"2018-04-04T08:37:16","date_gmt":"2018-04-04T00:37:16","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=1691"},"modified":"2023-08-10T00:18:40","modified_gmt":"2023-08-10T00:18:40","slug":"electric-circuits-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/electric-circuits-problems-and-solutions.htm","title":{"rendered":"Electric circuits \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Electric circuits \u2013 problems and solutions<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1. R<sub>1<\/sub>, = 6 \u03a9, R<sub>2<\/sub> = R<sub>3<\/sub> = 2 \u03a9, and voltage = 14 volt, determine the <a href=\"https:\/\/gurumuda.net\/physics\/electric-currents-electric-charges-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">electric current<\/a> in <a href=\"https:\/\/gurumuda.net\/physics\/electric-circuits-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">circuit<\/a> as shown in figure below.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Known :<img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-1692\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-1.png\" alt=\"Electric circuits \u2013 problems and solutions 1\" width=\"159\" height=\"86\" \/><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><a href=\"https:\/\/gurumuda.net\/physics\/resistors-circuits-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">Resistor<\/a> 1 (R<sub>1<\/sub>) = 6 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 2 (R<sub>2<\/sub>) = 2 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 3 (R<sub>3<\/sub>) = 2 \u03a9 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><a href=\"https:\/\/gurumuda.net\/physics\/electric-voltage-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">Voltage<\/a> (V) = 14 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><u>Wanted :<\/u> Electric current (I)<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Solution :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><b>Equivalent resistor (R) :<\/b><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>2<\/sub> and R<sub>3<\/sub> are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R<sub>23<\/sub> = 1\/R<sub>2<\/sub> + 1\/R<sub>3<\/sub> = 1\/2 + 1\/2 = 2\/2 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>23 <\/sub>= 2\/2 = 1 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1 <\/sub>and R<sub>23<\/sub> are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R = R<sub>1<\/sub> + R<sub>23<\/sub> = 6 \u03a9 + 1 \u03a9 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R = 7 \u03a9 <b> <\/b><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current (I) :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 14 \/ 7 = 2 Ampere<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">2. Which one of the electric circuits as shown below has the bigger current.<\/span><\/p>\n<p style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-1693\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-2.png\" alt=\"Electric circuits \u2013 problems and solutions 2\" width=\"282\" height=\"118\" \/><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Solution :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">The resistance of the resistor is R and the electric voltage is V.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Answer A.<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1<\/sub>, R<sub>2<\/sub> and R<sub>3<\/sub> are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>A<\/sub> = R<sub>1 <\/sub>+ R<sub>2<\/sub> + R<sub>3<\/sub> = R + R + R = 3R<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current (I) :<\/span><\/p>\n<p style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1694\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-3.png\" alt=\"Electric circuits \u2013 problems and solutions 3\" width=\"137\" height=\"43\" \/><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Answer B.<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1<\/sub>, R<sub>2<\/sub> and R<sub>3<\/sub> are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R = 1\/R<sub>1 <\/sub>+ 1\/R<sub>2<\/sub> + 1\/R<sub>3<\/sub> = 1\/R + 1\/R + 1\/R = 3\/R<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>B<\/sub> = R\/3 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current (I) :<\/span><\/p>\n<p style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1695\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-4.png\" alt=\"Electric circuits \u2013 problems and solutions 4\" width=\"192\" height=\"51\" \/><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Answer C.<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>2<\/sub> and R<sub>3<\/sub> are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R<sub>23<\/sub> = 1\/R<sub>2<\/sub> + 1\/R<sub>3<\/sub> = 1\/R + 1\/R = 2\/R <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>23<\/sub> = R\/2<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1<\/sub> and R<sub>23<\/sub> are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>C<\/sub> = R<sub>1<\/sub> + R<sub>23<\/sub> = R + R\/2 = 2R\/2 + R\/2 = 3R\/2<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current (I) :<\/span><\/p>\n<p style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1696\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-5.png\" alt=\"Electric circuits \u2013 problems and solutions 5\" width=\"220\" height=\"44\" \/><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Answer D.<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1 <\/sub>and R<sub>2<\/sub> are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R<sub>12 <\/sub>= 1\/R<sub>1 <\/sub>+ 1\/R<sub>2<\/sub> = 1\/R + 1\/R = 2\/R<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>12 <\/sub>= R\/2<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>12<\/sub> and R<sub>3 <\/sub>are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>D<\/sub> = R<sub>12<\/sub> + R<sub>3 <\/sub>= R\/2 + R = R\/2 + 2R\/2 = 3R\/2 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current (I) :<\/span><\/p>\n<p style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1697\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-6.png\" alt=\"Electric circuits \u2013 problems and solutions 6\" width=\"220\" height=\"46\" \/><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">3. R<sub>1<\/sub> = 4 ohm, R<sub>2<\/sub> = 6 ohm, R<sub>3<\/sub> = 2 ohm, and V = 24 volt. What is the electric current in circuit as shown in figure below.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Known :<img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-1699\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-7.png\" alt=\"Electric circuits \u2013 problems and solutions 7\" width=\"181\" height=\"103\" \/><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 1 (R<sub>1<\/sub>) = 4 Ohm <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 2 (R<sub>2<\/sub>) = 6 Ohm <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 3 (R<sub>3<\/sub>) = 2 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Voltage (V) = 24 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><u>Wanted :<\/u> Electric current in circuit<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Solution :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1<\/sub>, R<sub>2 <\/sub>and R<sub>3 <\/sub>are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R = R<sub>1<\/sub> + R<sub>2<\/sub> + R<sub>3 <\/sub>= 4 + 6 + 2 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">R = 12 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 24 \/ 12 = 2 Ampere<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">4. Which one of the electric circuits as shown below has the bigger current.<\/span><\/p>\n<p style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1700\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-8.png\" alt=\"Electric circuits \u2013 problems and solutions 8\" width=\"284\" height=\"174\" \/><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Solution<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><b>Electric current in circuit A.<\/b><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>The equivalent resistor :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1 <\/sub>= 3 \u03a9, R<sub>2<\/sub> = 4 \u03a9, R<sub>3<\/sub> = 4 \u03a9, V = 12 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>2<\/sub> and R<sub>3<\/sub> are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R<sub>23<\/sub> = 1\/R<sub>2<\/sub> + 1\/R<sub>3 <\/sub>= 1\/4 + 1\/4 = 2\/4 = 1\/2 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>23 <\/sub>= 2\/1 = 2 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1<\/sub> and R<sub>23<\/sub> are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R = R<sub>1<\/sub> + R<sub>23 <\/sub>= 3 \u03a9 + 2 \u03a9 = 5 \u03a9 <b> <\/b><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Electric current (I) :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 12 \/ 5 = 2.4 Ampere<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><b>Electric current in circuit B.<\/b><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>The equivalent resistor :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1 <\/sub>= 8 \u03a9, R<sub>2<\/sub> = 2 \u03a9, R<sub>3<\/sub> = 2 \u03a9, V = 36 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1<\/sub>, R<sub>2<\/sub> and R<sub>3<\/sub> are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R = R<sub>1<\/sub> + R<sub>2<\/sub> + R<sub>3<\/sub> = 8 + 2 + 2 = 12 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Electric current (I) :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 36 \/ 12 = 3 Ampere<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><b>Electric current in circuit C.<\/b><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>The equivalent resistor :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1 <\/sub>= 4 \u03a9, R<sub>2<\/sub> = 4 \u03a9, R<sub>3<\/sub> = 6 \u03a9, V = 12 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>2<\/sub> and R<sub>3<\/sub> are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R<sub>23<\/sub> = 1\/R<sub>2<\/sub> + 1\/R<sub>3 <\/sub>= 1\/4 + 1\/4 + 1\/6 = 3\/12 + 3\/12 + 2\/12 = 8\/12 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>23 <\/sub>= 12\/8 = 1.5 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Electric current (I) :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 12 \/ 1.5 = 8 Ampere<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><b>Electric current in circuit D.<\/b><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>The equivalent resistor :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1 <\/sub>= 3 \u03a9, R<sub>2<\/sub> = 3 \u03a9, R<sub>3<\/sub> = 3 \u03a9, R<sub>4<\/sub> = 3 \u03a9, R<sub>5<\/sub> = 6 \u03a9, V = 24 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>2<\/sub>, R<sub>3<\/sub> and R<sub>4<\/sub> are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R<sub>234<\/sub> = 1\/R<sub>2<\/sub> + 1\/R<sub>3 <\/sub>+ 1\/R<sub>4 <\/sub>= 1\/3 + 1\/3 + 1\/3 = 3\/3<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>234 <\/sub>= 3\/3 = 1 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>1<\/sub>, R<sub>234 <\/sub>and R<sub>5<\/sub> are connected in series The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R = R<sub>1<\/sub> + R<sub>234 <\/sub>+ R<sub>5 <\/sub>= 3 + 1 + 6 = 9 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Electric current (I) :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 24 \/ 9 = 2.6 Ampere<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">5. According to figure as shown below, determine : <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">A. Total resistance<img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-1701\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-9.png\" alt=\"Electric circuits \u2013 problems and solutions 9\" width=\"236\" height=\"101\" \/><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">B. Electric current in circuit<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">C. Current I<sub>1<\/sub><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">D. Current I<sub>2<\/sub><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Known :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 1 (R<sub>1<\/sub>) = 4 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 2 (R<sub>2<\/sub>) = 4 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 3 (R<sub>3<\/sub>) = 2 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 4 (R<sub>4<\/sub>) = 3 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric voltage (V) = 12 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Solution :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">A. Total resistance (R)<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>2<\/sub> and resistor R<sub>3<\/sub> are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>23<\/sub> = R<sub>2<\/sub> + R<sub>3<\/sub> = 4 \u03a9 + 2 \u03a9 = 6 \u03a9 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>23<\/sub> and resistor R<sub>4 <\/sub>are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R<sub>234<\/sub> = 1\/R<sub>23 <\/sub>+ 1\/R<sub>4<\/sub> = 1\/6 + 1\/3 = 1\/6 + 2\/6 = 3\/6<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>234<\/sub> = 6\/3 = 2 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>1<\/sub> and resistor R<sub>234<\/sub> are connected series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R = R<sub>1 <\/sub>+ R<sub>234<\/sub> = 4 \u03a9 + 2 \u03a9 = 6 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">The total resistance is 6 Ohm.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">B. Electric current in circuit (I)<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">V = I R<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><i>V = electric voltage, I = electric current, R = electric resistance<\/i><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 12 Volt \/ 6 Ohm = 2 Ampere <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">C. Electric current I<sub>1<\/sub><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Electric current in resistor R<sub>1<\/sub> = electric current in circuit = 2 Ampere.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">D. Current I<sub>2<\/sub><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>23<\/sub> and resistor R<sub>4<\/sub> are connected in parallel. The equivalent resistor R<sub>234<\/sub> = 2 Ohm. <img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-1702\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-10.png\" alt=\"Electric circuits \u2013 problems and solutions 10\" width=\"225\" height=\"98\" \/><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Electric current in resistor R<sub>234<\/sub> = electric current in resistor R<sub>1<\/sub> = 2 Ampere.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Voltage in resistor R<sub>234 <\/sub> is:<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">V = I R<sub>234<\/sub> = (2 A)(2 Ohm) = 4 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Voltage in resistor R<sub>234 <\/sub>= voltage in resistor R<sub>4<\/sub> = voltage in resistor R<sub>23<\/sub> = 4 Volt.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">The equivalent resistor R<sub>23 <\/sub>is 6 Ohm.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Electric current in resistor R<sub>23 <\/sub>is :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 4 Volt \/ 6 Ohm = 2\/3 Ampere<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Electric current in resistor R<sub>23 <\/sub>= Electric current in resistor R<sub>2<\/sub> = electric current in resistor R<sub>3 <\/sub>= 2\/3 Ampere.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">6. R<sub>1<\/sub> = R<sub>2<\/sub> = 10 \u03a9 and R<sub>3<\/sub> = R<sub>4<\/sub> = 8 \u03a9. What is the electric current in circuit as shown in figure below ?<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Known :<img loading=\"lazy\" decoding=\"async\" class=\"alignright size-medium wp-image-1703\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-11-300x133.png\" alt=\"Electric circuits \u2013 problems and solutions 11\" width=\"300\" height=\"133\" srcset=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-11-300x133.png 300w, https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-11.png 313w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>1 <\/sub>= Resistor R<sub>2<\/sub> = 10 \u03a9 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>3<\/sub> = Resistor R<sub>4 <\/sub>= 8 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric voltage (V) = 12 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><u>Wanted :<\/u> electric current (I) <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Solution :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><u>The <\/u><u>equivalent resistor<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>3<\/sub> and resistor R<sub>4 <\/sub>are connected in parallel, the equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R<sub>34<\/sub> = 1\/R<sub>3<\/sub> + 1\/R<sub>4<\/sub> = 1\/8 + 1\/8 = 2\/8<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>34<\/sub> = 8\/2 = 4 \u03a9<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>1<\/sub>, R<sub>2 <\/sub> and R<sub>34 <\/sub>are connected in series, the equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R = R<sub>1 <\/sub>+ R<sub>2 <\/sub>+ R<sub>34<\/sub> = 10 \u03a9 + 10 \u03a9 + 4 \u03a9 = 24 \u03a9 <\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Electric current :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 12 Volt \/ 24 Ohm = 0,5 Volt\/Ohm = 0.5 Ampere<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">7. If the internal resistance of battery ignored, what is the electric current in the circuit shown in figure below.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Known :<img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-1704\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-12.png\" alt=\"Electric circuits \u2013 problems and solutions 12\" width=\"253\" height=\"127\" \/><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>1<\/sub> = 3 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>2 <\/sub>= 3 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>3<\/sub> = 6 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric voltage (V) = 6 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><u>Wanted :<\/u> Electric current (I)<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Solution :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Equivalent resistor<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>1<\/sub> and R<sub>2<\/sub> are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>12 <\/sub>= R<sub>1<\/sub> + R<sub>2 <\/sub>= 3 Ohm + 3 Ohm = 6 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>12<\/sub> and resistor 3 are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R = 1\/R<sub>12<\/sub> + 1\/R<sub>3 <\/sub>= 1\/6 + 1\/6 = 2\/6<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">R = 6\/2 = 3 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 6 \/ 3 = 2 Ampere<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">8. What is the total electric current in circuit as shown in figure below.<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Known :<img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-1705\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Electric-circuits-\u2013-problems-and-solutions-13.png\" alt=\"Electric circuits \u2013 problems and solutions 13\" width=\"207\" height=\"138\" \/><\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>1<\/sub> = 6 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>2<\/sub> = 4 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current (V) = 6 Volt<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Internal resistance (r) = 0.6 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><u>Wanted :<\/u> Electric current<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\"><u>Solution :<\/u><\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>1<\/sub> and resistor R<sub>2<\/sub> are connected in parallel. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">1\/R<sub>P <\/sub>= 1\/R<sub>1<\/sub> + 1\/R<sub>2<\/sub> = 1\/6 + 1\/4 = 4\/24 + 6\/24 = 10\/24<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R<sub>P<\/sub> = 24\/10 = 2.4 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor R<sub>P<\/sub> and internal resistance (r) are connected in series. The equivalent resistor :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\">R = R<sub>P<\/sub> + r = 2.4 Ohm + 0.6 Ohm = 3.0 Ohm<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">Electric current in circuit :<\/span><\/p>\n<p class=\"western\" style=\"text-align: justify;\" align=\"justify\"><span style=\"font-family: 'times new roman', times, serif; font-size: 12pt;\">I = V \/ R = 6 Volt \/ 3 Ohm = 2 Ampere<\/span><\/p>\n<ol style=\"text-align: justify;\">\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What is an electric circuit?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: An electric circuit is a closed path or loop in which electric current can flow continuously. It typically consists of sources of voltage (like batteries), loads (like resistors, LEDs, motors), and conductors to connect them.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What distinguishes a series circuit from a parallel circuit?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: In a series circuit, components are connected end-to-end, so there&#8217;s a single path for current. In a parallel circuit, components are connected across common points or junctions, providing multiple paths for current.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>How does Ohm&#8217;s Law relate voltage, current, and resistance in a circuit?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: Ohm&#8217;s Law states that the current (<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">I<\/span><\/span><\/span><\/span><\/span>) flowing through a conductor between two points is directly proportional to the voltage (<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">V<\/span><\/span><\/span><\/span><\/span>) across the two points and inversely proportional to the resistance (<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">R<\/span><\/span><\/span><\/span><\/span>). It&#8217;s represented as <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">I<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">V\/R<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What is the role of a switch in an electric circuit?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: A switch controls the flow of current in a circuit. When closed, it allows current to flow; when open, it interrupts or stops the current flow.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Why is a short circuit considered dangerous?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: In a short circuit, the resistance is very low, causing a very high current to flow. This can lead to overheating, fires, or damage to components and should be protected against with fuses or circuit breakers.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What is the function of a fuse or a circuit breaker in a circuit?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: Both fuses and circuit breakers are protective devices designed to interrupt a circuit if the current exceeds a predetermined safe level. While fuses &#8220;blow&#8221; or &#8220;melt&#8221;, breaking the circuit, circuit breakers &#8220;trip&#8221;, and can be reset after they interrupt the circuit.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>How does Kirchhoff&#8217;s Current Law (KCL) describe currents at a junction in a circuit?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: Kirchhoff&#8217;s Current Law states that the sum of currents entering a junction is equal to the sum of currents leaving that junction. This is essentially a statement of the conservation of electric charge.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What is the difference between AC (Alternating Current) and DC (Direct Current)?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: DC refers to the unidirectional flow of electric charge, typically from a battery or a DC power supply. AC, on the other hand, is an electric charge that changes direction periodically, like what&#8217;s supplied from the power grid in many countries.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What does the term &#8220;ground&#8221; refer to in electrical circuits?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: &#8220;Ground&#8221; refers to a reference point in an electrical circuit from which other voltages are measured, or a common return path for electric current, or a direct physical connection to the Earth.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Why are capacitors used in electric circuits?<\/strong><\/span><\/li>\n<\/ol>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: Capacitors store and release electrical energy. They&#8217;re used in circuits for various purposes, such as filtering, smoothing voltage fluctuations, coupling and decoupling AC signals, and timing elements in oscillators.<\/span><\/li>\n<\/ul>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>Electric circuits \u2013 problems and solutions 1. R1, = 6 \u03a9, R2 = R3 = 2 \u03a9, and voltage = 14 volt, determine the electric current in circuit as shown in figure below. Known : Resistor 1 (R1) = 6 \u03a9 Resistor 2 (R2) = 2 \u03a9 Resistor 3 (R3) = 2 \u03a9 Voltage (V) &#8230; <a title=\"Electric circuits \u2013 problems and solutions\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/electric-circuits-problems-and-solutions.htm\" aria-label=\"Read more about Electric circuits \u2013 problems and solutions\">Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Electric circuits \u2013 problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1691","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1691","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=1691"}],"version-history":[{"count":2,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1691\/revisions"}],"predecessor-version":[{"id":8727,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1691\/revisions\/8727"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=1691"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=1691"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=1691"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}