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Question: A boy peddles a stationary bicycle the pedals of the bicycle are attached to a 200 turn coil of area...

A boy peddles a stationary bicycle the pedals of the bicycle are attached to a 200 turn coil of area 0.10 m2. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of 0.02 T perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil is

A

1.26 V

B

2.16 V

C

3.24 V

D

4.12 V

Answer

1.26 V

Explanation

Solution

Here, υ=0.5Hz\upsilon = 0.5Hz, N=200,A=0.1m2N = 200,A = 0.1m^{2}

B=0.02B = 0.02 T

maximum voltage generated is

ε0=NBA(2πυ)\varepsilon_{0} = NBA(2\pi\upsilon)

=200×0.02×0.1(2π×.05)=1.26V= 200 \times 0.02 \times 0.1(2\pi \times .05) = 1.26V