Verified Solution • 2025–26 Session moderate

QPages 303-304: Q5: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Pages 303-304: Q5 Solution: Two circular loops are placed coaxially but separated by a…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often think the second loop carries a steady induced current once the first loop is powered, overlooking that Faraday’s law generates emf only while the magnetic flux is varying; the induced current ceases as soon as the primary current reaches a constant value. Remember: $\mathcal{E}= -\frac{d\Phi}{dt}$, so if $d\Phi/dt=0$, $\mathcal{E}=0$ and no current flows.

Two circular loops are placed coaxially but separated by a distance. A battery is suddenly connected to one of the loops establishing a current in it. Will there be a current induced in the other loop? If yes, when does the current start and when does it end? Do the loops attract each other or do they repel?

Step-by-Step Verified Solution

**Answer:** Yes, a current is induced in the other loop. It starts when the current in the first loop begins to increase and ends when the current becomes steady. The loops repel each other. **Step-by-Step Explanation:** When the battery is connected, the current in the first loop increases from zero. This creates a changing magnetic flux through the second loop, inducing a current in it. By Lenz's law, the induced current opposes the change, causing the loops to repel. Once the current in the first loop becomes steady, the flux is constant, and the induced current stops.

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