Question

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:

• A. Both Statement I and Statement II are true.
• B. Both Statement I and Statement II are false.
• C. Statement I is correct but Statement II is false.
• D. Statement I is incorrect but Statement II is true.

Answer 1

The Correct Option is A

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.