JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 5 April 2024, Shift 1, Physics Q57

Question 57 of 90 in this shift, Physics question 27 of 30, Section B.

An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of

20\ \mu\mathrm{F}

is ________ V.

The figure, in words

Series LCR circuit: inductor L = 1 H, capacitor C = 20 µF, resistor R = 300 Ω, connected to an ac source V =

50\sqrt{2}\sin 100t

volt.

Official answer

NTA final key.

Chapter: Alternating Current
Topic: Phasor Diagrams
Idea tested: Impedance Triangle Construction

Same idea in other shifts

Asked 9× in all

2 Apr 2026, Shift 2 · Q42The figure given below shows an LCR series circuit with two switches $S_1$ and $S_2$ . When switch $S_1$ is closed keeping $S_2$ open, the…HardSingle correctHas a figure
4 Apr 2026, Shift 1 · Q50An inductor of $10$ mH, capacitor of $0.1\ \mu$ F and a resistor of $100\ \Omega$ are connected in series across an $a.c$ power supply…MediumNumerical value
5 Apr 2026, Shift 1 · Q44An a.c. source of angular frequency $\omega$ is connected across a resistor $R$ and a capacitor $C$ in series. The current is observed as…MediumSingle correct
9 Apr 2024, Shift 1 · Q43A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the plates of the capacitor. The…MediumSingle correct
27 Jul 2022, Shift 2 · Q44A series LCR circuit has L = 0.01 H, R = 10 $\Omega$ and C = 1 $\mu$ F and it is connected to ac voltage of amplitude ( $\mathrm{V_m}$ ) 50…MediumSingle correct
25 Jun 2022, Shift 2 · Q42A sinusoidal voltage $V(t)$ = 210 sin 3000 $t$ volt is applied to a series LCR circuit in which $L$ = 10 $mH$ , $C$ =25 µ $F$ and $R$ = 100…MediumSingle correct
28 Jun 2022, Shift 1 · Q54An AC source is connected to an inductance of 100 mH, a capacitance of 100 $\mu$ F and a resistance of 120 $\Omega$ as shown in figure.…MediumNumerical valueHas a figure
3 Sep 2020, Shift 1 · Q15A 750 Hz, 20 V (rms) source is connected to a resistance of 100 $\Omega$ , an inductance of 0.1803 H and a capacitance of 10 $\mu$ F all in…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.