Given below are two statements :
Statement I : When the frequency of an a.c. source in a series LCR circuit increases, the current in the circuit first increases, attains a maximum value and then decreases.
Statement II : In a series LCR circuit, the value of power factor at resonance is one.
In the light of given statements, choose the most appropriate answer from the options given below:
Statement I : When the frequency of an a.c. source in a series LCR circuit increases, the current in the circuit first increases, attains a maximum value and then decreases.
Statement II : In a series LCR circuit, the value of power factor at resonance is one.
In the light of given statements, choose the most appropriate answer from the options given below:
- Both Statement I and Statement II are true.
- Both Statement I and Statement II are false.
- Statement I is correct but Statement II is false.
- Statement I is incorrect but Statement II is true.
The Correct Option is A
Solution and Explanation
Both statements are correct based on the behavior of a series LCR circuit at resonance.
Statement I: As the frequency of the AC source in a series LCR circuit increases, the current initially increases, reaches a maximum at resonance, and then decreases as the frequency continues to rise. This is due to the changing impedance in the circuit.
Statement II: At resonance, the power factor of a series LCR circuit is one because the impedance is at its minimum, and the current and voltage are in phase.
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