First slide

Magnetic flux and induced emf

Question

A coil has an area of 0.05 m² and it has 800 turns. It is placed perpendicularly in a magnetic field of strength $4 \times 10^{- 5} Wb / m^{2}$ it is rotated through $90^{\circ}$ in 0.1 sec. The average e.m.f. induced in the coil is

Moderate

A

0.056 V
B

0.046 V
C

0.026 V
D

0.016 V

Solution

$\begin{array}{l} e = - \frac{NBA (\cos θ_{2} - \cos θ_{1})}{Δt} \\ = - \frac{800 \times 4 \times 10^{- 5} \times 0 .05 (\cos 90^{\circ} - \cos 0^{\circ})}{0 .1} = 0 .016 V \end{array}$

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