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MHT CET 202623 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Evening Shift
Subject
Physics
Chapter
Alternating Current

MHT CET 2026 · 23 April · Evening Shift · Physics · Alternating Current

In an L-C-R series, AC circuit at resonance,

In an L-C-R series, AC circuit at resonance,

Options

  1. Athe capacitive reactance is more than the inductive reactance.
  2. Bthe capacitive reactance is less than the inductive reactance.
  3. Cthe capacitive reactance is equal to the inductive reactance.
  4. Dthe power dissipated is minimum.

Correct answer

C. the capacitive reactance is equal to the inductive reactance.

Step-by-step solution

In an L-C-R series AC circuit, the impedance is given by Z=R2+(XL−XC)2Z = \sqrt{R^2 + (X_L - X_C)^2}.

At resonance, the impedance of the circuit is minimum and purely resistive, which means Z=RZ = R.

This condition is satisfied when the inductive reactance is equal to the capacitive reactance, i.e., XL=XCX_L = X_C.

Since the impedance is minimum, the current in the circuit is maximum, leading to maximum power dissipation.

Therefore, at resonance, the capacitive reactance is equal to the inductive reactance.

Answer: the capacitive reactance is equal to the inductive reactance.
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