Current Electricity Charging Discharging Of Capacitors Question 177

Question: Current through wire XY of circuit shown is

Options:

A) 1 A

B) 4 A

C) 2 A

D) 3 A

Show Answer

Answer:

Correct Answer: C

Solution:

$ -,i _{1}+0\times i _{xy}+3i _{2}=0 $ i.e. $ i _{1}=3i _{2} $ ……(i) Also $ -2(I _{1}-I _{xy})+4(I _{2}+I _{xy})=0 $ i.e. $ 2I _{1}-4I _{2}=6I _{xy} $ ….(ii) Also $ V _{AB}-1\times i _{1}-2(i _{1}-i _{xy})=0 $

Therefore $ 50=i _{1}+2(i _{1}-i _{xy}) $

$ =3I _{1}-2I _{xy} $ …. (iii) Solving (i), (ii) and (iii), $ i _{xy}=2A $