Electromagnetic Induction


   
 
Numerical 03
03. A circular coil of radius 8.0 cm and 20 turns rotates about its vertical diameter with an angular speed of 50ms-1 in a uniform horizontal magnetic field of magnitude 3.0 x 10-2 T. Obtain the maximum and the average EMF induced in the coil. If the coil forms a closed loop of resistance 10 W, how much power is dissipated as heat? What is the source of this power?
 
Suggested solution:
 
Maximum EMF
 
E0 = NBAw
 
     = 20 x 3 x 10-2 x 3.14 x (8 x 10-2)2 x 50 volt = 0.6 volt
 
Average EMF for one cycle is zero.
 
Maximum current,
 
 
Power loss
 
 
The source of this power is the external agent (motor) which helps the coil rotating against the torque of the induced current.
 
 
     
   
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