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Question: The magnetic field in a coil of 100 turns and 40 square cm area is increased from 1 Tesla to 6 Tesla...

The magnetic field in a coil of 100 turns and 40 square cm area is increased from 1 Tesla to 6 Tesla in 2 second. The magnetic field is perpendicular to the coil. The e.m.f. generated in it is

A

104V10^{4}V

B

1.2 V

C

1.0 V

D

102V10^{- 2}V

Answer

1.0 V

Explanation

Solution

e=N(ΔBΔt).Acosθ=100×(61)2×(40×104)cos0e = - N\left( \frac{\Delta B}{\Delta t} \right).A\cos\theta = - 100 \times \frac{(6 - 1)}{2} \times (40 \times 10^{- 4})\cos 0

e=16muV\Rightarrow |e| = 1\mspace{6mu} V