What is the power factor of a series RLC circuit under resonance condition?a)0b)1c)Infinityd)100Correct answer is option 'B'. Can you explain this answer?

Question

Answer

The power factor for a series RLC circuit in resonance condition is always 1 because the current is in phase with the voltage under resonance condition.

Answer

Inductive reactance and capacitive reactance are equal at resonance so the effective circuit becomes resistive

Answer

Resonance in a Series RLC Circuit:
Resonance in a series RLC circuit occurs when the inductive reactance (XL) is equal to the capacitive reactance (XC), and the impedance of the circuit becomes purely resistive. This condition leads to maximum current flow in the circuit.

Power Factor under Resonance:
The power factor of a series RLC circuit under resonance condition is 1. This means that the circuit is purely resistive at resonance, and the phase angle between the voltage and current is zero. As a result, the power factor becomes unity.

Explanation:
- At resonance, the inductive and capacitive reactances cancel each other out, leaving only the resistance as the impedance of the circuit.
- The angle between the voltage and current in a purely resistive circuit is zero, which means the power factor is 1.
- A power factor of 1 indicates that the circuit is in perfect alignment, with all the power being used for useful work.
Therefore, in a series RLC circuit under resonance condition, the power factor is 1.

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