An AC source is connected in a given series LCR circuit. The RMS potential difference across the capacitor of 20 is ________ V.

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Solution

Q.
An AC source is connected in a given series LCR circuit. The RMS potential difference across the capacitor of 20 $μ F$ is ________ V. [2024]

Ans.
(50)

$X_{L} = ω L = 100 \times 1 = 100 Ω$

$X_{C} = \frac{1}{ω C} = \frac{1}{100 \times 20 \times 10^{- 6}} = 500 Ω$

$Z = \sqrt{{(X_{L} - X_{C})}^{2} + R^{2}}$

$Z = \sqrt{{(100 - 500)}^{2} + 300^{2}} = 500 Ω$

$i_{r m s} = \frac{V_{r m s}}{Z} = \frac{50}{500} = 0.1 A$

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