To an AC power supply of 220 V at 50 Hz, a resistor of 20 Ω, a capacitor of reactance 25 Ω and an inductor of reactance 45 Ω are connected in series. The corresponding current in the circuit and the p

Question

To an AC power supply of 220 V at 50 Hz, a resistor of 20 Ω, a capacitor of reactance 25 Ω and an inductor of reactance 45 Ω are connected in series. The corresponding current in the circuit and the phase angle between the current and the voltage are, respectively:

Vishal Gupta · Accepted Answer

B. Z = \sqrt{R^2 + (XL - XC)^2} = \sqrt{20^2 + 20^2} = 20\sqrt2 \approx 28.3 Ω, so I = \frac{220}{28.3} \approx 7.8 A. 	an\phi = \frac{XL - XC}{R} = 1 \Rightarrow \phi = 45^\circ.

Alternating Current

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