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JEE Main20231 Feb 2023Morning ShiftPhysicsAlternating CurrentActual

A series LCR circuit is connected to an ac source of 220   V ,   50   Hz . The circuit contain a resistance R = 100   Ω and an inductor of inductive reactance X L = 79 . 6   Ω . The capacitance of the capacitor needed to maximize the average rate at which energy is supplied will be ______ μF .

Correct answer

0

Step-by-step solution

The average rate at which energy supplied i.e. power delivered is maximum in case of the resonance, therefore X C = X L ⇒ 1 ω C = 79 . 6   Ω ⇒       C = 1 ω × 79 . 6 = 1 2 π f × 79 . 6 = 1 100 π × 79 . 6 = 40     μF Hence, C = 40   μF .

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