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Q.

An emf is generated by an ac generator having 100 turn coil, of loop area 1 m2. The coil rotates at a speed of one revolution per second and placed in a uniform magnetic field of 0.05 T perpendicular to the axis of rotation of the coil. The maximum value of emf is :-

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a

3.14 V

b

62.8 V

c

6.28 V

d

31.4 V

answer is B.

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Detailed Solution

When a coil rotates in a magnetic field of strength ‘B‘ then EMF induced in the loop,
e=nABωsinωt
where
n = no. of turns in the coil
A = area of the coil
B = magnetic field strength
ω = angular velocity
here, n=100,A=1m2,ω=1rps=2πrad/s
B = 0.05 T
maximum emf = e =nABω
=100×1×0.05×2π=10π=31.4 volts.

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