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L-C-R series circuit contains a resistance of 10 Ω and self-inductance 0.4 H connected in series with variable capacitor across 60 V and 50 Hz supply. The value of capacity at resonance will be -

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Question

L-C-R series circuit contains a resistance of 10 Ω and self-inductance 0.4 H connected in series with variable capacitor across 60 V and 50 Hz supply. The value of capacity at resonance will be π2 = 10.

Options

  • 25 μF

  • 26 μF

  • 22 μF

  • 24 μF

MCQ

Solution

25 μF

Explanation:

f = `1/(2pi sqrt"LC")`

`therefore "C" = 1/(4pi^2 "Lf"^2) = 25 xx 10^-6 "F"`

= 25 μF

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