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Question: A coil has 2000 turns and area of \(70cm^{2}\). The magnetic field perpendicular to the plane of the...

A coil has 2000 turns and area of 70cm270cm^{2}. The magnetic field perpendicular to the plane of the coil is 0.3Wb/m20.3Wb/m^{2}and takes 0.1sec to rotate through 180o180^{o}. The value of the induced e.m.f. will be

A

8.4V8.4V

B

84V84V

C

42V42V

D

4.2V4.2V

Answer

84V84V

Explanation

Solution

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

=2000×0.3×70×104(cos180cos0)0.1= - 2000 \times 0.3 \times 70 \times 10^{- 4}\frac{(\cos 180 - \cos 0)}{0.1}

e=846muV\Rightarrow e = 84\mspace{6mu} V