Topic: Reactance, impedance, LCR series circuit, resonance· Electromagnetic Induction and Alternating Currents

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 is,…

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 -

1. 7.8 A and $30^\circ$

2. 7.8 A and $45^\circ$

3. 15.6 A and $30^\circ$

4. 15.6 A and $45^\circ$

Doubtly Asked 30 Oct 2026 NEET UG 2025 Practice test neet Save WhatsApp Report

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Answer: 2. 7.8 A and $45^\circ$

Key idea: in a series LCR circuit, $Z=\sqrt{R^2+(X_L-X_C)^2}$ and $\tan\phi=\dfrac{X_L-X_C}{R}$.

$$X_L-X_C=45-25=20\ \Omega,\quad Z=\sqrt{20^2+20^2}=20\sqrt2\approx28.3\ \Omega$$$$I=\frac{V}{Z}=\frac{220}{28.3}\approx7.8\ \mathrm A,\qquad \tan\phi=\frac{20}{20}=1\Rightarrow\phi=45^\circ$$

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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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 is,…

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