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A resistor of 200 Ω and a capacitor of 40μF are connected in series to 220 V AC source with angular frequency (ω) = 300 Hz. Calculate the voltages (rms) across the resistor and the capacitor. Why is the algebraic sum of these voltages more than the source voltage? How do you resolve this paradox?

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R = 200Ω ,C = 40μF, Vrms =220 V,

ω = 300 Hz

Inductive reactance

Rms voltage across the R is 

Because VC and VR are not in same phase, there is why

∴ VR  leads VC by phase p/2

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