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

A) 7.8 A and $30^\circ$
B) 7.8 A and $45^\circ$
C) 15.6 A and $30^\circ$
D) 15.6 A and $45^\circ$
Explanation

[Solution by Claude - not from source] $Z=\sqrt{20^2+(45-25)^2}=20\sqrt2\approx28.3\,\Omega$; $I=220/28.3\approx7.8$ A; $\tan\phi=\frac{20}{20}=1\Rightarrow\phi=45^\circ$. Answer (2).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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