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QPage 305: Q8: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Page 305: Q8 Solution: A rod AB moves with a uniform velocity v in a uniform magnetic…
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When using the Lorentz force $F=q,mathbf{v} imesmathbf{B}$, the direction of the cross product determines which end of the rod gathers positive charges. The right‑hand rule shows that for a rod moving with velocity $mathbf{v}$ in a magnetic field $mathbf{B}$, the force on positive charges points toward end B, making B positively charged. Ignoring the vector nature of the cross product (treating $F=qvB$ as a scalar) or swapping the ends leads to the incorrect conclusion that A is positive or that the rod is uniformly charged.
A rod AB moves with a uniform velocity v in a uniform magnetic field as shown in figure.
Multiple Choice Options
- A The rod becomes electrically charged
- B The end A becomes positively charged
- C The end B becomes positively charged.
- D The rod becomes hot because of Joule heating
Step-by-Step Verified Solution
**Answer:** (c) The end B becomes positively charged.
**Step-by-Step Explanation:**
Using F = q(v _ B), the force on positive charges is towards B. So B becomes positive.
All Questions in this Chapter
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