Growth of Current in an Inductor: Practice Problem & Solution

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Growth of Current in an Inductor. Understanding the underlying formula is key to arriving at the correct answer below:

(i) Just after the switch is closed (t = 0): An inductor opposes any sudden change in current. Initially, it acts like an infinite resistance (open circuit). No current can flow through any branch containing the inductor at this instant.

(ii) A long time later (t =infinity): Once the current reaches a steady state, the inductor no longer opposes the flow. It acts like an ideal wire (short circuit) with zero resistance. You can then rank the circuits by calculating the total equivalent resistance of the remaining resistors.