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MHT CET202519 Apr 2025Morning ShiftPhysicsElectromagnetic InductionActual

The self-inductance of a circuit is numerically equal to

Options

  1. Athe work done in establishing the magnetic flux associated with circuit.
  2. Btwice the work done in establishing the magnetic flux associated with unit current in the circuit.
  3. Cthrice the work done in establishing the magnetic flux associated with unit current in the circuit.
  4. Dthe work done in establishing the magnetic flux associated with unit current in the circuit.

Correct answer

B. twice the work done in establishing the magnetic flux associated with unit current in the circuit.

Step-by-step solution

The self-inductance L represents twice the work required to establish the magnetic flux associated with unit current in the circuit. The energy stored in an inductor with current I is U = 1 2 LI^2 . For unit current ( I = 1 ), this becomes U_ unit = 1 2 L , yielding L = 2U_ unit . This corresponds directly with option B. B

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