A rod of length ℓ rotates with a uniform angular velocity ω about its perpendicular bisector. A uniform magnetic field B exists parallel to the axis of rotation. The potential difference between the two ends of the rod is

Let us consider a small element at a distance from the center of the rod rotating with angular velocity about its axis perpendicular bisector.

Formula used: The emf induced is given by

The emf is induced in the rod because of the small element is

Where is the emf induced in that small element

B is the magnetic field

is the angular velocity of the small element

→ length of the small element

The emf induced across the centre and the end of the rod is

The potential difference between the two ends is

The potential difference between the two ends of the rod is zero.