Answer to Question #275769 in Electric Circuits for Shivank

Question

Current through branch a b

Answer 1

Kindly note:

The information given in the question is not sufficient to solve the question.

Adjusting the conditions of the question to:

Find the current through the branch AB in the circuit diagram below.

Solution:

In loop XYBA:

$3I_2-1I_1=0\\I_1=3I_2$

In loop WZBA

$4(I_2+I_{ab})-2(I_1-I_{ab})=0$

$6I_{ab}=2I_1-4I_2 \\6I_{ab}=2(3I_2)-4I_2 \\I_2=3I_{ab}$

In loop ZQPY

$50-[3I_2+4(I_2+I_{ab})]=0\\50=7I_2+4I_{ab}$

$=7(3I_{ab})+4I_{ab} \\=25I_{ab}$

$I_{ab}=2A$