First slide

Magnetic flux and induced emf

Question

A rectangular coil of 300 turns has an average area of average area of $25 c m \times 10 c m .$ The coil rotates with a speed of 50 cps in a uniform magnetic field of strength $4 \times 10^{- 2} T$ about an axis perpendicular of the field. The peak value of the induced e.m.f. is (in volt)

Moderate

A

$3000 π$
B

$300 π$
C

$30 π$
D

$3 π$

Solution

$\begin{array}{l} Peak value of emf = e_{0} = ωNBA = 2 πvNBA \\ = 2 π \times 50 \times 300 \times 4 \times 10^{- 2} \times (25 \times 10^{- 2} \times 10 \times 10^{- 2}) \\ = 30 π volt \end{array}$

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