First slide

Motional EMF

Question

A circular coil of mean radius of 7 cm and having 4000 turns is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field (B = 0.5 gauss). The maximum e.m.f. induced in coil will be

Moderate

A

1.158 V
B

0.58 V
C

0.29 V
D

5.8 V

Solution

$e_{0} = ωNBA = (2 πv) NB ({πr}^{2}) = 2 \times π^{2} \lor {NBr}^{2}$
$= 2 \times (3.14)^{2} \times \frac{1800}{60} \times 4000 \times 0.5 \times 10^{- 4} \times {(7 \times 10^{- 2})}^{2}$
= 0.58 V

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