First slide

Faraday's law of Electromagnetic induction

Question

A coil of 10 cm x 10 cm having 50 turns is making 50 r.p.s. in a mag1etic field of induction 2 tesla, The peak value of induced e.m.f. is approximately

Easy

A

110 volt
B

220 volt
C

314 volt
D

628 volt

Solution

$\begin{array}{l} e = nBωA \\ A = 10 \times 10 = 100 {cm}^{2} = 100 \times 10^{- 4} m^{2} \\ ω = 2 πn = 2 π \times 50 s^{- 1} \\ ∴ e = 50 \times 2 \times (2 π \times 50) \times (100 \times 10^{- 4}) = 314 V \end{array}$

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