A circular coil of mean radius of $7$ cm and having $4000$ turns is rotated at the rate of $1800$ revolutions per minute in the earth's magnetic field (B $= 0.5$ gauss), the peak value of emf induced in coil will be?

1.158

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0.58

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0.29

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5.8

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Solution

The correct option is B $0.58$ V
Induced emf, $E = B ω N A = B ω N (π r^{2}) = (0.5 \times 10^{- 4}) \times \frac{2 π}{60} \times 1800 \times 4000 \times π \times {0.07}^{2} = 0.58 V$

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A circular coil of mean radius of 7cm and having 4000 turns is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field (B=0.5 gauss), the peak value of emf induced in coil will be?

The correct option is B 0.58VInduced emf,E=BωNA=BωN(πr2)=(0.5×10−4)×2π60×1800×4000×π×0.072=0.58V

A circular coil of mean radius of $7$ cm and having $4000$ turns is rotated at the rate of $1800$ revolutions per minute in the earth's magnetic field (B $= 0.5$ gauss), the peak value of emf induced in coil will be?

The correct option is B $0.58$ V
Induced emf, $E = B ω N A = B ω N (π r^{2}) = (0.5 \times 10^{- 4}) \times \frac{2 π}{60} \times 1800 \times 4000 \times π \times {0.07}^{2} = 0.58 V$