First slide

Motional EMF

Question

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,

Moderate

A

Zero
B

0.25 V
C

0.125 V
D

0.5 V

Solution

$e = \frac{{Bl}^{2} ω}{2} = \frac{1}{2} \times 0.1 \times {(\frac{1}{2})}^{2} \times 10 = \frac{1}{8} = 0.125 V$

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