Question

A cycle wheel of radius 0.5 m is rotated with constant velocity of 10 rad/sec in a region of magnetic field of 0.1t

Answer 1

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Answer 2

The emf induced between the axle and the rim of the wheel is 2.5 V.

Explanation:

Given that,

Radius = 0.5 m

Angular velocity = 10 rad/s

Magnetic field = 0.1 T

Suppose we find the emf induced between the axle and the rim of the wheel

We need to calculate the emf induced between the axle and the rim of the wheel

Using formula of induced emf

$\epsilon=\dfrac{1}{2}Br\omega^2$

Where, B = magnetic field

r = radius

Put the value into the formula

$\epsilon=\dfrac{1}{2}\times0.1\times0.5\times10^2$

$\epsilon=2.5\ V$

Each emf at all the point is same because the connection is parallel.

Hence, The emf induced between the axle and the rim of the wheel is 2.5 V.

Learn more :

Topic : induced emf

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