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Question: A coil has an area of 0.05 m<sup>2</sup> and it has 800 turns. It is placed perpendicularly in a mag...

A coil has an area of 0.05 m2 and it has 800 turns. It is placed perpendicularly in a magnetic field of strength 4×105Wb/m2,4 \times 10^{- 5}Wb/m^{2}, it is rotated through 90o90^{o} in 0.1 sec. The average e.m.f. induced in the coil is

A

0.056 V

B

0.046 V

C

0.026 V

D

0.016 V

Answer

0.016 V

Explanation

Solution

e=NBA(cosθ2cosθ1)Δte = - \frac{NBA(\cos\theta_{2} - \cos\theta_{1})}{\Delta t}

=800×4×105×0.05(cos90ocos0o)0.1= - \frac{800 \times 4 \times 10^{- 5} \times 0.05(\cos 90^{o} - \cos 0^{o})}{0.1}= 0.016 V