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
- Athe capacitive reactance is more than the inductive reactance.
- Bthe capacitive reactance is less than the inductive reactance.
- Cthe capacitive reactance is equal to the inductive reactance.
- 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 .
At resonance, the impedance of the circuit is minimum and purely resistive, which means .
This condition is satisfied when the inductive reactance is equal to the capacitive reactance, i.e., .
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.
At resonance, the impedance of the circuit is minimum and purely resistive, which means .
This condition is satisfied when the inductive reactance is equal to the capacitive reactance, i.e., .
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.