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Inductor of 2 microhenry with a variable capacitor: capacitance for maximum current at a given frequency

The same question, asked 2 times: 4 May 2023 S1*, 16 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    4 May 2023 S1

    33
    An inductor of inductance 2 μH2\,\mu\text{H} is connected in series with a resistance, a variable capacitor and an a.c. source of frequency 5 kHz. The value of capacitance for which maximum current is drawn into the circuit is 1x F\frac{1}{x}\,\text{F}, where the value of xx is (Take π2=10\pi^2 = 10)

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  2. Question 2

    16 Apr 2026 S2

    139
    An inductor of inductance 2 μH2\ \mu\mathrm{H} is connected in series with a resistance, a variable capacitor and an a.c. source of 10 kHz. The value of capacitance for which maximum current is drawn in to the circuit is 1x\dfrac{1}{x} F, where the value of x is (Take π2=10\pi^2 = 10)

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