Question

Current through wire $XY$ of circuit shown is

• A. 1 A
• B. 4 A
• C. 2 A
• D. 3 A

Answer 1

Answer: (C)

$-i_1+0\times i_{xy}+3i_2=0$ or $i_1=3i_2$ .......(i)
Also, $-2\left(i_1-i_{xy}\right)+4\left(i_2+i_{xy}\right)=0$
or $2i_1-4i_2=6i_{xy}$..........(ii)
Also, $V_{AB}-1\times i_1-2\left(i_1-i_{xy}\right)=0$
$\Rightarrow 50=i_1+2\left(i_1-i_{xy}\right)$
$=3i_1-2i_{xy}$...........(iii)
Solving (i), (ii) and (iii), $i_{xy}=2A$