Kirchhoff's Loop Rule Video Lessons

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Concept

Problem: A) For the circuit shown in the figure, determine the current in the 7.0-Ω resistor.B) For the circuit shown in the figure, determine the current in the 8.0-Ω  resistor.C) For the circuit shown in the figure, determine the current in the 4.0-Ω  resistor.Please show detailed work. 

FREE Expert Solution

Kirchhoff's loop rule:

ΣV=0

A)

Consider Kirchhoff's loop rule in the left loop.

We're assuming the current is moving in a clockwise direction in this loop.

The current is moving from the left to right through resistor 7.0Ω and top to bottom through resistor 4.0Ω.

Now we have:

-i17.0-(i1-i2)4.0-12.0=0-i17.0-i14.0+i24.0-12.0=0-11.0i1+4.0i2-12.0=0

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Problem Details

A) For the circuit shown in the figure, determine the current in the 7.0-Ω resistor.

B) For the circuit shown in the figure, determine the current in the 8.0-Ω  resistor.

C) For the circuit shown in the figure, determine the current in the 4.0-Ω  resistor.

Please show detailed work. 

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