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JEE Main202313 Apr 2023Evening ShiftPhysicsAlternating CurrentActual

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 X L = X C . So, both inductor and capacitor is required. The power factor is given by cos ϕ . For an inductor the power factor is zero-lagging, cos 90 ° = 0 . The angle between the voltage and current is 90 ° . For a capacitor the power factor is zero-leading. Hence, both statements are false.

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