Mutemo weKirchhoff - matambudziko nemhinduro

1. Kana R 1 = 2 Ω, R 2 = 4 Ω, R 3 = 6 Ω, sarudza kuyerera kwemagetsi mudunhu riri pazasi.

Zvinozivikanwa:

Resistor 1 (R1) = 2 Ω Mutemo weKirchhoff - matambudziko nemhinduro 1

Mudziviriri 2 (R2 ) = 4 Ω

Mudziviriri 3 (R3 ) = 6 Ω

Kunobva emf 1 (E 1 ) = 9 V

Kunobva emf 2 (E 2 ) = 3 V

Zvinodiwa: Magetsi (I)

Solution:

Mubvunzo uyu une chekuita nemutemo waKirchhoff . Maitiro ekugadzirisa dambudziko iri:

Kutanga , sarudza kwakananga magetsi. Unogona kusarudza kuti magetsi ari kupi kana kuti akananga kupi nenzira yewachi.

Chechipiri , kana magetsi achipfuura nepakati pe resistor (R) paine mukana wekuderera zvekuti V = IR yasainwa negative. Chechitatu , kana magetsi achichinja kubva pavoltage yakaderera kuenda pavoltage yakakwira (- kusvika +) ipapo sosi ye emf (E) yasainwa negative nekuda kwekuchaja kwesimba pasource ye emf. Kana magetsi achichinja kubva pavoltage yakakwira kuenda pavoltage yakaderera (+ kusvika -) saka sosi ye emf (E) yasainwa negative nekuda kwekubuda kwesimba pasource ye emf.

Mumhinduro iyi, divi remagetsi rinotenderera zvakafanana nedivi rekutenderera kwewachi.

– IR 1 + E 1 – IR 2 – IR 3 – E 2 = 0

– 2 Ini + 9 – 4 Ini – 6 Ini – 3 = 0

– 12 I + 6 = 0

– 12 I = – 6

Ini = -6 / -12

Ini = 0.5

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Kuyerera kwemagetsi mudunhu iri 0.5 A. Kuyerera kwemagetsi kwakasimbiswa kuti kwakarurama zvinoreva kuti divi remagetsi rakafanana nedivi rekutenderera kwewachi. Kana magetsi ari negative, zvinoreva kuti magetsi ari padivi pedivi rewachi.

2. Sarudza magetsi anoyerera mudunhu sezvakaratidzwa mumufananidzo uri pazasi.

Solution:Mutemo weKirchhoff - matambudziko nemhinduro 2

Mumhinduro iyi, divi remagetsi rinotenderera zvakafanana nedivi rekutenderera kwewachi.

-20 – 5I -5I – 12 – 10I = 0

-32 – 20I = 0

-32 = 20I

Ini = -32 / 20

Ini = -1.6 A

Nekuti magetsi emagetsi haana kunaka, divi remagetsi rinopesana nedivi rewachi. Mafambiro emagetsi emagetsi haana kufanana neanofungidzirwa.

3. Sarudza magetsi anoyerera mudunhu sezvakaratidzwa mumufananidzo uri pazasi.

Solution:Mutemo weKirchhoff - matambudziko nemhinduro 3

Mumhinduro iyi, kutungamira kwemagetsi kwakafanana nekutungamira kwekutenderera kwewachi.

– ini – 6I + 12 – 2I + 12 = 0

-9I + 24 = 0

-9I = -24

Ini = 24 / 9

Ini = 8 / 3 A

4. Dunhu remagetsi rine ma resistors mana, R 1 = 12 Ohm, R 2 = 12 Ohm, R 3 = 3 Ohm uye R 4 = 6 Ohm, akabatana nekwakabva emf E 1 = 6 Volt, E 2 = 12 Volt. Sarudza kuti magetsi ari kufamba sei mudunhu sezvakaratidzwa mumufananidzo uri pazasi.

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Zvinozivikanwa:Mutemo weKirchhoff - matambudziko nemhinduro 4

Mudziviriri 1 (R1 ) = 12 Ω

Mudziviriri 2 (R2 ) = 12 Ω

Mudziviriri 3 (R3 ) = 3 Ω

Mudziviriri 4 (R4 ) = 6 Ω

Kunobva emf 1 (E 1 ) = 6 Volts

Kunobva emf 2 (E 2 ) = 12 Volts

Zvinodiwa: Mwenje wemagetsi unoyerera mudunhu (I)

Solution:

Resistor 1 ( R1 ) uye resistor 2 ( R2 ) zvakabatana zvakafanana. Resistor yakaenzana:

1/R 12 = 1/R 1 + 1/R 2 = 1/12 + 1/12 = 2/12

R 12 = 12/2 = 6 Ω

Mumhinduro iyi, kutungamira kwemagetsi kwakafanana nekutungamira kwekutenderera kwewachi.

– IR 12 – E 1 – IR 3 IR 4 + E 2 = 0

– 6 I – 6 – 3I – 6I + 12 = 0

– 6I – 3I – 6I = 6 -12

– 15I = – 6

Ini = -6/-15

Ini = 2/5 A

5. Sarudza magetsi anoyerera mudunhu sezvakaratidzwa pamufananidzo uri pazasi.

Zvinozivikanwa:Mutemo weKirchhoff - matambudziko nemhinduro 5

Mudziviriri 1 (R1 ) = 10 Ω

Mudziviriri 2 (R2 ) = 6 Ω

Mudziviriri 3 (R3 ) = 5 Ω

Mudziviriri 4 (R4 ) = 20 Ω

Kunobva emf 1 (E 1 ) = 8 Volts

Kunobva emf 2 (E 2 ) = 12 Volts

Zvinodiwa: Magetsi anoyerera mudunhu

Solution:

Resistor 3 ( R3 ) uye resistor 4 ( R4 ) zvakabatana zvakafanana. Resistor yakaenzana:

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1/R 34 = 1/R 3 + 1/R 4 = 1/5 + 1/20 = 4/20 + 1/20 = 5/20

R 34 = 20/5 = 4 Ω

Mumhinduro iyi, kutungamira kwemagetsi kwakafanana nekutungamira kwekutenderera kwewachi.

– IR 1 – IR 2 E 1 – IR 34 + E 2 = 0

– 10I – 6I – 8 – 4I + 12 = 0

– 10I – 6I 4I = 8 – 12

– 20 I = – 4

Ini = -4/-20

Ini = 1/5 A

Ini = 0.2 A

6. Sarudza magetsi anoyerera mudunhu sezvakaratidzwa pamufananidzo uri pazasi.

Zvinozivikanwa:Mutemo weKirchhoff - matambudziko nemhinduro 6

Mudziviriri 1 (R1 ) = 1 Ω

Mudziviriri 2 (R2 ) = 6 Ω

Mudziviriri 3 (R3 ) = 6 Ω

Mudziviriri 4 (R4 ) = 4 Ω

Kunobva emf 1 (E 1 ) = 12 Volts

Kunobva emf 2 (E 2 ) = 6 Volts

Zvinodiwa: Magetsi anoyerera mudunhu

Solution:

Resistor 1 ( R1 ) uye resistor 2 ( R2 ) zvakabatana zvakafanana. Resistor yakaenzana:

1/R 12 = 1/R 1 + 1/R 2 = 1/1 + 1/6 = 6/6 + 1/6 = 7/6

R 12 = 6/7 Ω

Kutungamira kwemagetsi kwakafanana nekutungamira kwekutenderera kwewachi.

E 1 – I R 12 – E 2 – I R 4 – IR 3 = 0

12 – (6/7)I – 6 – 4I – 6I = 0

12 – 6 – (6/7)I – 4I – 6I = 0

6 – (6/7)I – 10I = 0

6 = (6/7)I + 10I

6 = (6/7)I + (70/7)I

6 = (76/7)I

(6)(7) = 76I

42 = 76I

Ini = 42/76

Ini = 0.5 A

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