Q76 / 90 · JEE Main 2023 (12 Apr Shift 1) · Physics
Given below are two statements:
Statement I : When the frequency of an AC 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.
Given below are two statements:
Statement I : When the frequency of an AC 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.
- AStatement I is incorrect but Statement II is true
- BBoth Statement I and Statement II are false
- Correct answerCBoth Statement I and Statement II are true
- DStatement I is correct but Statement II is false
Solution
When an a.c. voltage is applied in a series LCR circuit, the current is increased first, attains a maximum and then decreases.
The formula to calculate the power factor is given by
At resonance, , Hence,
Thus, both the statements are true.
Hence, the correct answer is option: 'C'.