Q2 of 104 Page 304

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.

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A rod of length ℓ rotates with a small but 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 centre of the rod and an end is

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