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Using Lenz's Law

An angular co...

Question

An angular conductor is moving with velocity $v$ along its angular bisector in a perpendicular magnetic field $(B)$ as shown in the figure. The induced potential difference between its free ends will be

A

2 B v l sin \frac{θ}{2}

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B

2 B v l

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C

2 B v l sin θ

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D

zero

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Solution

The correct option is A $2 B v l sin \frac{θ}{2}$
Total effective length in magnetic field $= 2 l sin \frac{θ}{2}$

$∴ E = B v 2 l sin \frac{θ}{2}$ $= 2 B v l sin \frac{θ}{2}$

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