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  4. A metal rod of length 2 m is rotating with an angular velocity of 100 rad / s in a plane perpendicular to a uniform magnetic field of 0.3 T. The potential difference between the ends of the rod is

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Q. A metal rod of length $2\, m$ is rotating with an angular velocity of $100\, rad / s$ in a plane perpendicular to a uniform magnetic field of $0.3\, T$. The potential difference between the ends of the rod is

Electromagnetic Induction

Solution:

$e=\frac{1}{2} B l^{2} \omega=\frac{1}{2} \times 0.3 \times(2)^{2} \times 100=60\, V$