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 emf induced in coil will be

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Correct answer: B. 0.58 V

Here: n=4000, B=0.5 × 10^ -4 ~Wb / m^2 Rate of rotation of coil =1800 rev / min=(1800)/(60)= 30 rev / sec aligned & ω=2 π f=2 π × 30=60 π rad / s, & r=7 ~cm=0.07 ~m aligned Now area of coil A=π r^2=π ×(0.07)^2=49 π × 10^ -4 ~m^2 Now the maximum energy induced is aligned e & =B A n ω \& =0.5 × 10^ -4 × 49 π × 10^ -4 × 4000 × 60 π \& =0.58 ~V aligned

A circular coil of mean radius of 7 cm and having 4000 turns is...

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