The figure shows three circuits with identical batteries, inductors, and resistors. Rank the circuits according to the current through the battery (i) just after the switch is closed and (ii) a long time later, greatest first.

[i₁, i₂ and i₃ are respective current in circuit (1), (2) and, (3)]

 

• A

  $\text{ (i) }{\mathrm{i}}_2>{\mathrm{i}}_3>{\mathrm{i}}_1\left({\mathrm{i}}_1=0\right)$ $\text{ (ii) }{\mathrm{i}}_2>{\mathrm{i}}_3>{\mathrm{i}}_1$

• B

  $\text{ (i) }{\mathrm{i}}_2<{\mathrm{i}}_3>{\mathrm{i}}_1\left({\mathrm{i}}_1\ne 0\right)$ $\text{ (ii) }{\mathrm{i}}_2>{\mathrm{i}}_3>{\mathrm{i}}_1$

• C

  $\text{ (i) }{\mathrm{i}}_2={\mathrm{i}}_3={\mathrm{i}}_1\left({\mathrm{i}}_1=0\right)$ $\text{ (ii) }{\mathrm{i}}_2>{\mathrm{i}}_3>{\mathrm{i}}_1$

• D

  $\text{ (i) }{\mathrm{i}}_2={\mathrm{i}}_3>{\mathrm{i}}_1\left({\mathrm{i}}_1\ne 0\right)$ $\text{ (ii) }{\mathrm{i}}_2>{\mathrm{i}}_3>{\mathrm{i}}_1$