MCQ
Current through wire $\quad X Y$ of circuit shown is
- A$1 \mathrm{~A}$
- B$4 \mathrm{~A}$
- ✓$2 \mathrm{~A}$
- D$3 \mathrm{~A}$
✓
Answer
Correct option: C.
$2 \mathrm{~A}$
$-i_1+0 \times i_{x y}+3 i_2=0 \text { i.e. } i_1=3 i_2\dots(i)$
Also $-2\left(i_1-i_{x y}\right)+4\left(i_2+i_{x y}\right)=0$
i.e. $2 i_1-4 i_2=6 i_{x y}\dots(ii)$
Also $V_{A B}-1 \times i_1-2\left(i_1-i_{x y}\right)=0 \Rightarrow 50=i_1+2\left(i_1-i_{x y}\right)$
$=3 i_1-2 i_{x y}\dots(iii)$
Solving (i), (ii) and (iii), $i_{x y}=2 A$
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