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Electric Charges And Fields

Question
CBSEENPH12037857

Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average e.m.f. of 200 V induced, give an estimate of the self-inductance of the circuit?

Solution

Here,
Initial current, I1 = 5 A
Final current, I2 = 0 A
t = 0.1 sec 
Average emf, e= 200 V 

Change in the value of current, dI/dt is, 

               dIdt = (I2-I1)t       = 0.0-5.00.1       = -50 As-1   

 As , e = LdIdt 
Therefore, 
                     L = edI/dt         =20050        =4H. 
 
which is the required self inductance of the circuit.