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Example 11 An inductor of inductance 2 0 mH is connected across a charged capacitor...

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Example 11 An inductor of inductance 2 0 mH is connected across a charged capacitor of capacitance 5 0 F and the resulting L C circuit is set oscillating at its natural frequency Let Q denotes the instantaneous charge on the capacitor and I the current in the circuit It is found that the maximum value of Q is 200 C JEE 1998 a When Q 100 C what is the value of dIl dt b When Q 200 C what is the value of I c Find the maximum value of I d When I is equal to one half of its maximum value what is the value of IQ

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