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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 25 June 2022, Shift 2, Physics Q59

Question 59 of 90 in this shift, Physics question 29 of 30, Section B.

In a series LCR circuit, the inductance, capacitance and resistance are LL = 100 mH, C= 100 µFF and RR=10 Ω10\ \Omega respectively. They are connected to an AC source of voltage 220 VV and frequency of 50 Hz. The approximate value of current in the circuit will be ____________ AA.

The figure, in words

Circuit diagram: a closed rectangular loop with, along the top, an inductor labelled 100 mH, a capacitor labelled 100 µF and a resistor labelled 10 Ω in series; along the bottom an AC source symbol (circle containing a wave) labelled 220 V, 50 Hz.

Official answer

22

NTA final key.

Chapter
Alternating Current
Topic
LCR Resonance
Idea tested
Impedance at Resonance

Same idea in other shifts

Asked 5× in all
  1. 6 Apr 2024, Shift 1 · Q44Given below are two statements : Statement I : In an LCR series circuit, current is maximum at resonance. Statement II : Current in a…EasyTwo statements
  2. 30 Jul 2022, Shift 2 · Q23A sinusoidal voltage V(t) = 200 sin2000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 µF and R =100 Ω. The…EasyNumerical value
  3. 31 Aug 2021, Shift 1 · Q8In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL=R=XCX_L = R = X_C. Impedance of this circuit is :EasySingle correct
  4. 25 Feb 2021, Shift 2 · Q12An LCR circuit contains resistance of 110 Ω110\ \Omega and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed…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.