Current Electricity Question 12

Question 12 - 30 January - Shift 1

In the following circuit, the magnitude of current $I_1$, is A.

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Answer: (1)

Solution:

Formula: Kirchhoff’s Laws

Junction law at $A$,

$\frac{x-(y+5)}{1}+\frac{x-2}{2}+\frac{x-0}{2}=0$

Junction law at B,

$\frac{y+5-x}{1}+\frac{y-0}{1}+\frac{y-2}{1}=0$

On solving equation (1) and Equation (2)

$x=3$

and $ y=0$

At $D$ junction

$I_1=i_1+i_2$

$I_1=\frac{y-0}{1}+\frac{x-0}{2}$

$=\frac{0-0}{1}+\frac{3-0}{2}$