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Question
An ac generator consists of a coil of 100 turns and cross sectional area of 3m² rotating at a constant angular speed of 60 rad/sec in a uniform magnetic field of 0.04T. The resistance of this coil is 500 ohm. Calculate i) Maximum current drawn from the generator and ii) Maximum power dissipated in the coil.
An ac generator consists of a coil of 100 turns and cross sectional area of 3m² rotating at a constant angular speed of 60 rad/sec in a uniform magnetic field of 0.04T. The resistance of this coil is 500 ohm. Calculate i) Maximum current drawn from the generator and ii) Maximum power dissipated in the coil.
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Solution
N = 100 , A = 3m2, ω = 60 rad/s
B = 0.4T R = 500Ω
As induced emf is given by= NBAω sinωt
Max emf = e0 = NBAω = 100 x 0.4 x 3 x 60
= 7200 volt
Induced current (max) I0 = 7200/500 = 18A
Power = e0I0 7200 x 18 = 1.296 x 103 watt
N = 100 , A = 3m2, ω = 60 rad/s
B = 0.4T R = 500Ω
As induced emf is given by= NBAω sinωt
Max emf = e0 = NBAω = 100 x 0.4 x 3 x 60
= 7200 volt
Induced current (max) I0 = 7200/500 = 18A
Power = e0I0 7200 x 18 = 1.296 x 103 watt
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