MHT CET202519 Apr 2025Morning ShiftPhysicsElectromagnetic InductionActual
When three inductors of same inductance 'L' are connected in series and 'I' is the current passing through the circuit. The energy stored in the circuit is
Options
- A1 2 ~L ~I ^2
- B3 2 ~L ~I ^2
- C5 2 ~L ~I ^2
- D7 2 ~L ~I ^2
Correct answer
B. 3 2 ~L ~I ^2
Step-by-step solution
For three inductors of inductance L connected in series, the equivalent inductance becomes L_ eq = L + L + L = 3L . The energy stored in an inductor is given by U = 1 2 L I^2 . Substituting the equivalent inductance yields U = 1 2 (3L) I^2 = 3 2 L I^2 . This result corresponds to option B .