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Question:
Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emf of 200 V induced, give an estimate of the self-inductance of the circuit.
Answer:

Initial current, I1 = 5.0 A

Final current, I2 = 0.0 A

Change in current,image061 NCERT Solutions class-12 physics Electromagnetic Induction

Time taken for the change, t = 0.1

Average emf, e = 200 V

For self-inductance (L) of the coil, we have the relation for average emf as:

e = L image062 NCERT Solutions class-12 physics Electromagnetic Inductions

image063 NCERT Solutions class-12 physics Electromagnetic Induction

image064 NCERT Solutions class-12 physics Electromagnetic Induction

image065 NCERT Solutions class-12 physics Electromagnetic Induction

image066 NCERT Solutions class-12 physics Electromagnetic Inductions

Hence, the self induction of the coil is 4 H.

 

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