JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 30 June 2022, Shift 1, Physics Q57

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

A series LCR circuit with R =

\frac{250}{11}

\Omega

and

\mathrm{X_L}

\frac{70}{11}

\Omega

is connected across a 220 V, 50 Hz supply. The value of capacitance needed to maximize the average power of the circuit will be __________

\mu

F. (Take :

\pi

\frac{22}{7}

)

Official answer

500

NTA final key.

Chapter: Alternating Current
Topic: LCR Resonance
Idea tested: Power Factor at Resonance

Same idea in other shifts

Asked 4× in all

10 Apr 2023, Shift 1 · Q45Given below are two statements : Statement I : Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor…EasyTwo statements
12 Apr 2023, Shift 1 · Q35Given below are two statements: Statement I : When the frequency of an a.c source in a series LCR circuit increases, the current in the…EasyTwo statements
24 Feb 2021, Shift 2 · Q28A series LCR circuit is designed to resonate at an angular frequency $\omega_0 = 10^5\ \mathrm{rad/s}$ . The circuit draws 16 W power from…EasyNumerical value

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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.