First slide

Faraday's law of Electromagnetic induction

Question

A 50 turns circular coil has a radius of 3 cm. It is kept in a magnetic field acting normal to the area of the coil. The magnetic field B increases from 0.10 tesla to 0.35 tesla in 2 milliseconds. The average induced e.m.f. in the coil is

Moderate

A

1.77 volts
B

17.7 volts
C

177 volts
D

0.177 volts

Solution

$e = - \frac{N (B_{2} - B_{1}) Acosθ}{Δt}$
$= - \frac{50 (0.35 - 0.10) \times π {(3 \times 10^{- 2})}^{2} \times \cos 0^{\circ}}{2 \times 10^{- 3}} = 17.7 V$

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