{"id":1710,"date":"2018-04-04T09:55:18","date_gmt":"2018-04-04T01:55:18","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=1710"},"modified":"2023-08-10T00:14:47","modified_gmt":"2023-08-10T00:14:47","slug":"resistors-circuits-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/resistors-circuits-problems-and-solutions.htm","title":{"rendered":"Resistors 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;\">Resistors 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. Which one of the <a href=\"https:\/\/gurumuda.net\/physics\/resistors-circuits-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">resistors circuits<\/a>, as shown in the figure below, has bigger resistance.<\/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-medium wp-image-1711\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Resistors-circuits-\u2013-problems-and-solutions-1-179x300.png\" alt=\"Resistors circuits \u2013 problems and solutions 1\" width=\"179\" height=\"300\" srcset=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/04\/Resistors-circuits-\u2013-problems-and-solutions-1-179x300.png 179w, https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/sites\/28\/2018\/04\/Resistors-circuits-\u2013-problems-and-solutions-1.png 236w\" sizes=\"auto, (max-width: 179px) 100vw, 179px\" \/><\/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> = 2 \u03a9, R<sub>2 <\/sub>= 2 \u03a9, R<sub>3<\/sub> = 6 \u03a9, R<sub>4<\/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;\">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>34<\/sub> = 1\/R<sub>3<\/sub> + 1\/R<sub>4 <\/sub>= 1\/6 + 1\/6 = 2\/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>34 <\/sub>= 6\/2 = 3 \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>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>= 2 \u03a9 + 2 \u03a9 + 3 \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;\"><b>R = 7 \u03a9<\/b><b> <\/b><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>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> = 2 \u03a9, R<sub>2 <\/sub>= 4 \u03a9, R<sub>3<\/sub> = 4 \u03a9, R<sub>4<\/sub> = 8 \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>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>23<\/sub> = R<sub>2<\/sub> + R<sub>3<\/sub> = 4 \u03a9 + 4 \u03a9 = 8 \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>23<\/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>23 <\/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>234<\/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;\">R<sub>1<\/sub> and R<sub>234<\/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> = 2 \u03a9 + 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;\"><b>R = 6<\/b><b> <\/b><b>\u03a9 <\/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>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>1<\/sub> = 9 \u03a9, R<sub>2<\/sub> = 9 \u03a9, R<sub>3<\/sub> = 9 \u03a9, R<sub>4<\/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;\">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<sub>123 <\/sub>= 1\/R<sub>1 <\/sub>+ 1\/R<sub>2<\/sub> + 1\/R<sub>3 <\/sub>= 1\/9 + 1\/9 + 1\/9 = 3\/9 <\/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>123 <\/sub>= 9\/3 = 3 \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>123 <\/sub>and R<sub>4<\/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>123 <\/sub>+ R<sub>4 <\/sub>= 3 \u03a9 + 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;\"><b>R = 5 <\/b><b>\u03a9<\/b><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>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> = 5 \u03a9, R<sub>2 <\/sub>= 10 \u03a9, R<sub>3<\/sub> = 2 \u03a9, R<sub>4<\/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;\">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\/5 + 1\/10 = 2\/10 + 1\/10 <\/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> = 3\/10 <\/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>= 10\/3 \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>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>34 <\/sub>= 1\/R<sub>3<\/sub> + 1\/R<sub>4<\/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>34 <\/sub>= 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>12 <\/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>12 <\/sub>+ R<sub>34 <\/sub>= 10\/3 + 3\/3 = 13\/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;\"><b>R = 4.3 <\/b><b>\u03a9<\/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;\">2. What is the equivalent resistor in the 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;\">Solution :<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1712 alignright\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Resistors-circuits-\u2013-problems-and-solutions-2.png\" alt=\"Resistors circuits \u2013 problems and solutions 2\" width=\"225\" height=\"92\" \/><\/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 6 \u03a9, 3 \u03a9 and 2 \u03a9 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\/6 + 1\/3 + 1\/2 = 1\/6 + 2\/6 + 3\/6 = 6\/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>P<\/sub> = 6\/6 = 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;\">Resistor 7 \u03a9, 8 \u03a9 and 1 \u03a9 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 = 7 + 8 + 1 = 16 \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;\">3. What is the equivalent resistor in the 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 :<\/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>) = 2 Ohm<img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-1713\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/04\/Resistors-circuits-\u2013-problems-and-solutions-3.png\" alt=\"Resistors circuits \u2013 problems and solutions 3\" width=\"270\" height=\"95\" \/><\/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 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-size: 12pt; font-family: 'times new roman', times, serif;\">Resistor 4 (R<sub>4<\/sub>) = 2 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> The equivalent resistor<\/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>2<\/sub> and resistor 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><\/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\/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> = 1 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>1<\/sub>, resistor R<sub>23<\/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 = R<sub>1<\/sub> + R<sub>2 <\/sub>+ R<sub>3<\/sub> = 2 + 1 + 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 = 5 Ohm<\/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 the primary function of a resistor in an electronic circuit?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: A resistor&#8217;s primary function is to limit or control the flow of electric current in a circuit. It introduces resistance to the flow of electrons, which can be useful for controlling circuit behavior or protecting components.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>How do series and parallel resistor configurations differ in terms of total resistance?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: In a series configuration, the total resistance <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">R<\/span><span class=\"msupsub\"><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\">t<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">l<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> is the sum of individual resistances: <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">R<\/span><span class=\"msupsub\"><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\">t<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">l<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">R<\/span><sub><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/sub><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><sub><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/sub><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">&#8230;<\/span><\/span><\/span><\/span><\/span>. In a parallel configuration, the inverse of the total resistance is the sum of the inverses of the individual resistances: 1\/<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><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\">R<\/span><span class=\"msupsub\"><sub><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">l<\/span><\/span><\/sub><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=1\/<\/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\">R<\/span><span class=\"msupsub\"><sub><span class=\"sizing reset-size3 size1 mtight\">1<\/span><\/sub><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+1\/<\/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\">R<\/span><span class=\"msupsub\"><sub><span class=\"sizing reset-size3 size1 mtight\">2<\/span><\/sub><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">&#8230;<\/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>Why might one choose to connect resistors in parallel rather than in series?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: Connecting resistors in parallel can decrease the total resistance of a circuit, potentially increasing the total current flow. It can also provide redundancy\u2014if one resistor fails, the circuit can still operate with the other parallel resistors.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>How does the power rating of a resistor relate to its use in a circuit?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: The power rating indicates the maximum amount of power the resistor can dissipate as heat without being damaged. If a resistor in a circuit dissipates power beyond its rating, it can overheat and fail.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Why do some circuits use variable resistors?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: Variable resistors, like potentiometers or rheostats, allow for adjustable resistance in a circuit. This can be useful for tuning or adjusting circuit parameters, such as the volume in audio devices or the brightness of a light.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What happens if a resistor in a series circuit fails (opens)?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: If a resistor in a series circuit fails by becoming an open circuit, the entire circuit will open, and no current will flow through it. It&#8217;s akin to having a break in a water pipeline.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>What happens if a resistor in a parallel circuit fails (opens)?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: If a resistor in a parallel circuit fails by becoming an open circuit, the rest of the parallel branches will still carry current. The total resistance of the circuit will increase since one of the parallel paths has been removed.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Why do some circuits utilize resistors with very high resistance values, sometimes in the order of megaohms?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: High resistance values can be used for various purposes, such as creating voltage dividers, biasing transistors, or working with very low current applications. They can ensure minimal current flow in certain parts of circuits, especially where sensitivity or precision is needed.<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>How does temperature affect the resistance of most resistors?<\/strong><\/span>\n<ul>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Answer<\/strong>: For many materials, resistance increases with temperature. The amount by which resistance changes with temperature is defined by the material&#8217;s temperature coefficient of resistance. Some resistors are specifically designed to have minimal change in resistance with temperature (these are called temperature-stable or low temp-co resistors).<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"font-size: 12pt; font-family: 'times new roman', times, serif;\"><strong>Why are pull-up and pull-down resistors used in digital 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>: Pull-up and pull-down resistors are used to define the default (idle) state of a digital input pin. A pull-up resistor connects an input pin to a positive voltage when no active signal is applied, ensuring a default HIGH state. Conversely, a pull-down resistor connects the input pin to ground, ensuring a default LOW state.<\/span><\/li>\n<\/ul>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>Resistors circuits \u2013 problems and solutions 1. Which one of the resistors circuits, as shown in the figure below, has bigger resistance. Answer A R1 = 2 \u03a9, R2 = 2 \u03a9, R3 = 6 \u03a9, R4 = 6 \u03a9 R3 and R4 are connected in parallel. The equivalent resistor : 1\/R34 = 1\/R3 + &#8230; <a title=\"Resistors circuits \u2013 problems and solutions\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/resistors-circuits-problems-and-solutions.htm\" aria-label=\"Read more about Resistors 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":"Resistors 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-1710","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\/1710","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=1710"}],"version-history":[{"count":2,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1710\/revisions"}],"predecessor-version":[{"id":8726,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/1710\/revisions\/8726"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=1710"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=1710"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=1710"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}