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A series RLC circuit has R = 10 Ω, |XL| = 20 Ω and |XC| = 20 Ω is connected across an AC supply of 200 Vrms. The RMS voltage across the capacitor is ____________(a) 200∠-90° V(b) 200∠90° V(c) 400∠90° V(d) 400∠-90° VThe question was asked in my homework.My doubt is from Advanced Problems on Magnetically Coupled Circuits in portion Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

Right choice is (d) 400∠-90° V

The EXPLANATION is: Q = \(\FRAC{|X_L|}{R} = \frac{|X_C|}{R}\)

So, Q = \(\frac{20}{10}\) = 2

Rms voltage across capacitor, VCrms = QV∠-90°

Or, VCrms = 2 X 200∠-90°

Or, VCrms = 400∠-90° V.



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