Question

Figure shows three circuits with identical batteries, inductor and resistors. Rank the circuits in the decreasing order of the current through the battery just after the switch is closed

• A. $i_2>i_3>i_1{i}_1=0$
• B. $i_2<i_3<i_1{i}_1\ne 0$
• C. $i_2=i_3=i_1{i}_1=0$
• D. $i_2=i_3>i_1{i}_1\ne 0$

Answer 1

The correct option is A $i_2>i_3>i_1{i}_1=0$

At $t=0$, inductor offers infinite resistance. So,
$\Rightarrow i_1=0,i_2=\frac{E}{R}$ and $i_3=\frac{E}{2R}$

option $\left(1\right)$