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Question: A coil of area \(100cm^{2}\) has 500 turns. Magnetic field of \(0.1\mspace{6mu} weber/metre^{2}\) is...

A coil of area 100cm2100cm^{2} has 500 turns. Magnetic field of 0.16muweber/metre20.1\mspace{6mu} weber/metre^{2} is perpendicular to the coil. The field is reduced to zero in 0.1 second. The induced e.m.f. in the coil is

A

1 V

B

5 V

C

50 V

D

Zero

Answer

5 V

Explanation

Solution

e=N(B2B1)AcosθΔte = - \frac{N(B_{2} - B_{1})A\cos\theta}{\Delta t}

=500×(00.1)×100×104cos00.1=5V= - \frac{500 \times (0 - 0.1) \times 100 \times 10^{- 4}\cos 0}{0.1} = 5V