Given below are two statements:
Statement I: Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an AC source, when resonance occurs
Statement II: Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.
In the light of the above statements, choose the correct answer from the options given below:
Statement I: Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an AC source, when resonance occurs
Statement II: Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.
In the light of the above statements, choose the correct answer from the options given below:
- (A)Statement I is false but Statement II is true
- (B)Statement I is true but Statement II is false
- (C)Both Statement I and Statement II are true✓ Correct
- (D)Both Statement I and Statement II are false
Answer: (C)
Solution
Statement I is true: the average power in a series LCR circuit is , which peaks at resonance where , the impedance falls to , and the current is largest. Statement II is also true: a purely resistive circuit keeps voltage and current in phase (, ), so all supplied power is dissipated. Both statements are true.
JEE Main · 2023 · 10 Apr 2023 · Shift 1 · Single correct option