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Question
The coil of an ac generator consists of 100 turns of wire, each of area 0.5 m2. The resistance of the wire is 100 Ω. The coil is rotating in a magnetic field of 0.8 T perpendicular to its axis of rotation, at a constant angular speed of 60 radians per second. Calculate the maximum emf generated and power dissipated in the coil.
Solution
Given: N = 100, A = 0.5 m2, ω = 60 rad/s
B = 0.8T
R = 100 Ω
As induced emf is given by,
= NBA ω sin ωt
Max emf e0 = NBAω = `100 xx 0.8 xx 0.5 xx 60`
= 2400 V
Induced current (max)I0 = `e_0/R`
= `2400/100 = 24` A
Power = `e_0I_0`
= `2400 xx 24 = 5.760 xx 10^4` watt
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