Question

In the given circuit, potential of junction A is

• A. 1.73 V
• B. 3.82 V
• C. 2.5 V
• D. 4 V

Answer 1

The correct option is B 3.82 V


Here we assume that potential of point A is higher than 2 V.
$8-2=2(i_1+i_2)+4i_2$
$6=2i_1+6i_2\Rightarrow 3=i_1+3i_2$ ....(1)
$8+6=2(i_1+i_2)+6i_1$

$14=8i_1+2i_2\Rightarrow 7=4i_1+i_2$ ....(2)
By (1) & (2)
$i_2=\frac{5}{11}$
$V_A-2=4\times \frac{5}{11}\Rightarrow V_A=2+\frac{20}{11}=\frac{42}{11}=3.82V$