Kirchhoff's Loop Rule Video Lessons

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Problem: Consider the following circuit of three resistors (R1, R2, and R3), with batteries that have emfs ε1 = 11 V and ε2 = 44.5 V, and internal resistances r1 and r2.Part A. Find the current I1, in amps.Part B. Find the current I2, in amps.Part C. find the current I3, in amps.

FREE Expert Solution

Kirchhoff's voltage law:

ΣV=0

Voltage:

V=iR

Let's apply Kirchhoff's loop rule to the top closed loop in a clockwise direction:

ε1-I2r1-I1R1-I2R2=011-0.5I2-6.0I1-2.5I2=011-6.0I1-3.0I2=0

6.0I1 + 3.0I2 = 11 ...................... (1)

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Problem Details

Consider the following circuit of three resistors (R1, R2, and R3), with batteries that have emfs ε1 = 11 V and ε2 = 44.5 V, and internal resistances r1 and r2.


Part A. Find the current I1, in amps.

Part B. Find the current I2, in amps.

Part C. find the current I3, in amps.

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