Verified Solution • 2025–26 Session moderate

QPages 304-305: Q8: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Pages 304-305: Q8 Solution: Consider the situation shown in figure. The wire AB is slid on…

⚠️ Common Exam Traps & Conceptual Pitfalls

Induced emf is $E=- rac{dPhi}{dt}$; for a conductor moving in a uniform field it equals $E=B,v,L$, where $L$ is the separation between the rails (the effective length of the loop), not the physical length or shape of the wire. Changing the wire to a semicircle does not alter the rate at which magnetic flux through the loop changes, so the induced current stays the same.

Consider the situation shown in figure. The wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a semicircular wire, the magnitude of the induced current will _______________ .

Multiple Choice Options

  • A increase
  • B remain the same
  • C decrease
  • D increase or decrease depending on whether the semi-circle bulges towards the resistance or away from it

Step-by-Step Verified Solution

**Answer:** (b) remain the same. **Step-by-Step Explanation:** The induced emf depends only on the rate of change of flux, which depends on the effective length between the rails. The shape of the wire doesn't matter.

All Questions in this Chapter

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