Series LCR circuit containing an a.c. source of 100V has a inductor and a capacitor of reactance 24 Ω and 16 Ω respectively. If a resistance of 6 Ω is connected in series, then the potential difference across the series combination of inductor and capacitor only is (a) 80 V (b) 8 V (c) 40 V (d) 20 V

Answer: (a). Z = √(R² + (XL - XC)²) = √(6² + 8²) = 10 Ω I = 100/10 = 10 A VLC = I |XL - XC| = 10 × 8 = 80 V So the answer is (a) 80 V.

Series LCR circuit containing an a.c. source of 100V has a inductor… | MHT CET 2026 (16 Apr, Shift 2)

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Series LCR Circuit

Series LCR circuit containing an a.c. source of 100V has a inductor and a capacitor of reactance $24\ \Omega$ and $16\ \Omega$ respectively. If a resistance of $6\ \Omega$ is connected in series, then the potential difference across the series combination of inductor and capacitor only is

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Answer: (a)

$Z = \sqrt{R^2 + (X_L - X_C)^2} = \sqrt{6^2 + 8^2} = 10\ \Omega$
$I = \frac{100}{10} = 10$ A
$V_{LC} = I\,|X_L - X_C| = 10 \times 8 = 80$ V
So the answer is (a) 80 V.

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