Question

A conducting rod is rotating about one end, in a plane perpendicular to a uniform magnetic field, with constant angular velocity. The correct graph between the induced emf $\left(e\right)$ across the rod and time $\left(t\right)$ is -

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

We know that when a rod rotates in a uniform magnetic field, emf induced across the rod is given by,

$E=\frac{1}{2}B\omega l^2$

As long as the angular velocity of the rod is constant, the induced emf remains constant with the time.

So, the correct graph is as shown below.


Hence, option $\left(C\right)$ is the correct answer.