JEE Main · 2023 · 13 Apr 2023 · Shift 2 · Alternating Current

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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 :
  1. (A)Both Statement I and Statement II are false✓ Correct
  2. (B)Statement I is true but Statement II is false
  3. (C)Both Statement I and Statement II are true
  4. (D)Statement I is false but Statement II is true

Answer: (A)

Solution

For electrical resonance to occur in an AC circuit, both an inductor and a capacitor must be present (not just one), so that the phase angle φ = 0. Statement I is false. For a pure inductor or pure capacitor, the power factor is zero (cos φ = 0), which means they consume zero average power, not high power. Statement II is also false. Therefore, both statements are false.

JEE Main · 2023 · 13 Apr 2023 · Shift 2 · Single correct option

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