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Gauss Law for Magnetism

Question

A rod lies across frictionless rails in a uniform magnetic field $$\overrightarrow {B}$$ as shown in fig. The rod moves to the right with speed V. In order to make the induced emf in the circuit to be zero, the magnitude of the magnetic field should

A

increase linearly with time

B

decrease linearly with time

C

decrease nonlinearly with time

D

not change

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Solution

Verified by Toppr

Correct option is D. decrease nonlinearly with time
The magnetic flux link is constant with the time.
$$Blvt =constant$$
Hence: $$B=\dfrac {C}{lVt}$$
Option D.

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