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JEE Main202329 Jan 2023Evening ShiftPhysicsAlternating CurrentActual

An inductor of inductance 2 μH is connected in series with a resistance, a variable capacitor and an AC source of frequency 7 kHz . The value of capacitance for which maximum current is drawn into the circuit is 1 x F , where the value of x is ______. (Take π = 22 7 )

Correct answer

0

Step-by-step solution

For maximum current in series LCR circuit, X C = X L ⇒ 1 2 π f C = 2 π f L ⇒ C = 1 4 π 2 f 2   L = 1 4 × π 2 × 49 × 10 6 × 2 × 10 - 6 ⇒ C = 1 3872   F Therefore, x = 3872 .

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