Q69 / 90 · JEE Main 2023 (13 Apr Shift 2) · Physics

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:

 

  • A
    Statement I is false but statement II is true
  • B
    Statement I is true but statement II is false
  • Correct answer
    C
    Both Statement I and Statement II are false
  • D
    Both Statement I and Statement II are true

Solution

For resonance to occur the condition is XL=XC.

So, both inductor and capacitor is required.

The power factor is given by cosϕ.

For an inductor the power factor is zero-lagging, cos90°=0. The angle between the voltage and current is 90°.

For a capacitor the power factor is zero-leading.

Hence, both statements are false.

Hence, the correct answer is option: 'C'.

Relevant Questions