Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202313 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
13 April
Shift
Evening Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2023 · 13 April · Evening Shift · Physics · Alternating Current

Given below are two statements: Statement I : An AC circuit...

Given below are two statements:

Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.

Statement II: An AC circuit containing a pure capacitor or a pure inductor consumes high power due to its non-zero power factor. In the light of above statements, choose the correct answer from the options given below:

Options

  1. AStatement I is false but statement II is true
  2. BStatement I is true but statement II is false
  3. CBoth Statement I and Statement II are false
  4. DBoth Statement I and Statement II are true

Correct answer

C. Both Statement I and Statement II are false

Step-by-step solution

For resonance to occur the condition is XL=XC{X}_{L} = {X}_{C}.

So, both inductor and capacitor is required.

The power factor is given by cosϕcosϕ.

For an inductor the power factor is zero-lagging, cos⁡90°=0\cos 90 ° = 0. The angle between the voltage and current is 90°90 °.

For a capacitor the power factor is zero-leading.

Hence, both statements are false.

Practice Alternating Current on Quantrex Academy →

More from Alternating Current

Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per… JEE Advanced 2026A LCR series circuit driven with E_ rms = 90 V at frequency f_d = 30 Hz has resistance R… JEE Main 2026A series LCR circuit with R = 20\ Ω , L = 1.6 H and C = 40\ is connected to a variable… JEE Main 2026An a.c. source of angular frequency ω is connected across a resistor R and a capacitor C… JEE Main 2026An inductor of 10 mH, capacitor of 0.1\ μ F and a resistor of 100\ Ω are connected in… JEE Main 2026The figure given below shows an LCR series circuit with two switches S_1 and S_2 . When… JEE Main 2026An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy… JEE Main 2026The electric current in the circuit is given as i=i_ o (t / T) . The r.m.s current for… JEE Main 2026 Full Alternating Current list All JEE Main PYQs