A cycle wheel of radius 0.5 m is rotated with constant angular velocity of 10 rad/s in a region of magnetic field of 0.1 T which is perpendicular to the plane of the wheel. The EMF generated between its centre and the rim is [2019]

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Solution

Q.
A cycle wheel of radius 0.5 m is rotated with constant angular velocity of 10 rad/s in a region of magnetic field of 0.1 T which is perpendicular to the plane of the wheel. The EMF generated between its centre and the rim is [2019]

1 0.25 V

2 0.125 V

3 0.5 V

4 zero

Ans.
(2)

Here, $B = 0.1$ $T, r = 0.5$ $m, ω = 10$ $rad/s$

So, the emf generated between its centre and rim is,

$ε = \frac{1}{2} B ω r^{2} = \frac{1}{2} \times 0.1 \times 10 \times {(0.5)}^{2} = 0.125$ $V$

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