Question

1 2 3 4 5 A circuit with 4 resistors and two batteries is created as shown. ma as DT 1) Using Kirchhoff's Junction Rule, which of the following is a correct equation relating the currents for the node labeled 13 - 15 = 0 13 + 5 = 0 13 + 14 - 15 = 0 0-13 + 14 - 15 = 0 12 +13 + 14 - 15 = 0 0-12 + 13 + 14 - 15 = 0 Submit

Answer 1

1)

According to kirchhoff's junction rule at a node ,

sum of incoming current = sum of outgoing current

so, at node E

I₃ + I₄ = I₅

I₃ + I₄ - I₅ = 0

2)

According to kirchhoff's junction rule at a node ,

sum of incoming current = sum of outgoing current

so, at node D

-I₁ - I₃ - I₄ = 0

3)

According to kirchhoff's voltage rule,

sum of all the voltages around any closed loop in a circuit is equal to zero.

so , in loop A-B-E-D

-V₁ + I₃*R₃ - I₁*R₁ = 0

V₁ + I₁*R₁ - I₃*R₃ = 0

4)

According to kirchhoff's voltage rule,

sum of all the voltages around any closed loop in a circuit is equal to zero.

so , in loop D-E-H-G

-I₃*R₃ + I₄*R₄ + V₂ = 0

I₃*R₃ - I₄*R₄ - V₂ = 0

5)

According to kirchhoff's voltage rule,

sum of all the voltages around any closed loop in a circuit is equal to zero.

so , in loop B-C-F-E

-I₂*R₂ + V₁ = 0

I₂*R₂ - V₁ = 0