MHT CET 2025 Physics question

The self-inductance of a circuit is numerically equal to

(A)the work done in establishing the magnetic flux associated with circuit
(B)twice the work done in establishing the magnetic flux associated with unit current in the circuitCorrect
(C)thrice the work done in establishing the magnetic flux associated with unit current in the circuit
(D)the work done in establishing the magnetic flux associated with unit current in the circuit.

Answer: (B)

Solution

The work done against the induced emf in building up a current in an inductor is stored as magnetic energy: . For unit current ( A) this gives , so numerically, i.e. self-inductance

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Question ID VK-100668