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JEE Main20238 Apr 2023Morning ShiftPhysicsAlternating CurrentActual

An oscillating LC circuit consists of a 75 mH inductor and a 1 . 2 µ F capacitor. If the maximum charge to the capacitor is 2 . 7 µ C . The maximum current in the circuit will be _______ mA .

Correct answer

0

Step-by-step solution

When the capacitor is fully discharged, the current is maximum and all the energy resides in the inductor. Hence, the energy of the capacitor is equal to the energy of the inductor. L i 2 m 2 = Q 2 m 2 C       . . . ( i ) where i m is the maximum current and Q m is the maximum charge. The given values are Q m = 2 . 7 × 10 - 6   C L = 75 × 10 - 3   H C = 1 . 2 × 10 - 6   F The maximum current is found from equation (i) i m = 1 L C Q m ⇒ i m = 2 . 7 × 10 - 6 75

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