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Resonance in Series LCR for JEE: 32 solved questions

Real JEE paper questions on resonance in series lcr, part of alternating current. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2004 to 2026. No sign-in needed to read them.

What this topic asks

• Resonance condition and tuning — 15 questions
• Current and voltage at resonance — 9 questions
• Power and bandwidth at resonance — 8 questions

All 32 questions with solutions

• Two statements are given. Statement I: In a series LCR circuit the current is maximum at resonance. Statement… JEE Main 6th April 1st Shift 2024
• A series LCR circuit is at resonance for given C, L and R. The resistance is now halved with all other parame… JEE Main 8th April 1st Shift 2024
• In a series LCR circuit the capacitance is changed from C to 4C. To keep the resonant frequency unchanged, th… JEE Main 1st Feb 1st Shift 2024
• Statement I: When the frequency of an a.c. source in a series LCR circuit increases, the current first increa… JEE Main 12th April 1st Shift 2023
• Statement I: An a.c. circuit undergoes electrical resonance if it contains either a capacitor or an inductor.… JEE Main 13th April 2nd Shift 2023
• Circuit (i) is a 40 Ω resistor across 220 V, 50 Hz; circuit (ii) is 40 Ω, 50 mH and 0.5 μF in series across t… JEE Main 11th April 1st Shift 2023
• To increase the resonant frequency in a series LCR circuit, JEE Main 25th July 1st Shift 2022
• A series LCR circuit has L=0.01 H, R=10 Ω and C=1 μF, connected to an a.c. voltage of amplitude 50 V. At a fr… JEE Main 27th July 2nd Shift 2022
• For a series LCR circuit the I vs ω curve is shown (see figure). (A) To the left of ωₘ the circuit is mainly… JEE Main 29th June 1st Shift 2022
• A series LCR circuit driven by 300 V at 50 Hz has R=3 kΩ, inductive reactance X_L=250π Ω and an unknown capac… JEE Main 26th Aug 1st Shift 2021
• A 100 Ω resistance, a 0.1 μF capacitor and an inductor are in series across a 250 V variable-frequency supply… JEE Main 27th July 2nd Shift 2021
• An LCR circuit has R=110 Ω across a 220 V supply at 300 rad/s. Removing only the capacitance makes the curren… JEE Main 25th Feb 2nd Shift 2021
• For the series circuit shown (see figure) with L=100 mH, C=100 μF, R=120 Ω and V=30 sin(100t) V, the peak cur… JEE Main 26th Feb 2nd Shift 2021
• In a series resonant LCR circuit the voltage across R is 100 V with R=1 kΩ and C=2 μF. The resonant frequency… AIEEE 2006
• The self-inductance of the motor of an electric fan is 10 H. To draw maximum power at 50 Hz, it should be con… AIEEE 2005
• In an LCR circuit the capacitance is changed from C to 2C. For the resonant frequency to stay the same, the i… AIEEE 2004
• A series LCR circuit with R=20 Ω, L=1.6 H and C=40 μF is driven by a variable-frequency source. The inductive… JEE Main 5th April 2nd Shift 2026
• Using a variable-frequency source, the maximum current in the LCR circuit (see figure, L=2 H, R=100 Ω) is 50… JEE Main 23rd Jan 1st Shift 2026
• A series LCR circuit uses R=300 Ω, C=25 nF and L=100 mH. For maximum current the angular frequency of the sou… JEE Main 23rd Jan 2nd Shift 2025
• In a series LCR circuit the maximum current is drawn when the variable capacitance is 2.5 nF, with R=200 Ω an… JEE Main 6th April 2nd Shift 2024
• A series LCR circuit across a 220 V, 50 Hz source has an inductor of reactance X_L=79.6 Ω. The capacitance ne… JEE Main 1st Feb 1st Shift 2023
• An LCR series circuit has C=62.5 nF and R=50 Ω, driven at 2.0 kHz. For the maximum current amplitude the indu… JEE Main 25th Jan 1st Shift 2023
• An inductor of 0.5 mH, a capacitor of 20 μF and a resistance of 20 Ω are in series with a 220 V a.c. source.… JEE Main 31st Jan 1st Shift 2023
• The frequencies at which the current amplitude in a series LCR circuit falls to 1/(√2) of its maximum are 212… JEE Main 28th July 1st Shift 2022
• A 110 V, 50 Hz a.c. source drives the circuit shown (a parallel L-C combination in series with a 55 Ω resisto… JEE Main 26th June 1st Shift 2022
• A telegraph line 100 km long has a capacitance of 0.01 μF/km and carries an alternating current at 0.5 kilocy… JEE Main 28th June 1st Shift 2022
• In the circuit, |V_L| and |V_C| are each twice |V_R|, with R=5 Ω and f=50 Hz. The inductance of the coil is 1… JEE Main 28th June 2nd Shift 2022
• An inductor of 0.5 mH, a capacitor of 200 μF and a resistor of 2 Ω are in series with a 220 V a.c. source. If… JEE Main 29th June 2nd Shift 2022
• A series LCR circuit with R=(250)/(11) Ω and X_L=(70)/(11) Ω is across a 220 V, 50 Hz supply. The capacitance… JEE Main 30th June 1st Shift 2022
• Two circuits are shown: (a) a 5 Ω resistor across 220 V, and (b) a 40 μF capacitor, 5 Ω resistor and 0.1 H in… JEE Main 2021
• A series LCR circuit resonates at ω₀=10⁵ rad/s and draws 16 W from a 120 V source at resonance. The resistanc… JEE Main 24th Feb 2nd Shift 2021
• A transmitting station emits waves of wavelength 960 m. A capacitor of 2.56 μF is used in the resonant circui… JEE Main 25th Feb 1st Shift 2021