Given below are two statements: Statement I: When the frequency of an… | JEE Main 2023 (12 Apr, Shift 1)

Q64JEE Main 2023 · 12 APR · SHIFT 1Easy

Resonance, Bandwidth & Q Factor

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.

Show answer and solution

Answer: (c)

Statement I: $I = \frac{V}{Z}$ and $Z$ is minimum at resonance, so $I$ rises, peaks at $\omega_0$ , then falls. True.
Statement II: at resonance $X_L = X_C$ , so $Z = R$ and $\cos\phi = \frac{R}{Z} = 1$ . True.
So the answer is (c) both statements are true.

Report a mistake

More questions on Resonance, Bandwidth & Q Factor

In the circuit shown the ratio of quality factor and the bandwidth isMHT CET 2023 (10 May, Shift 1)
A series combination of resistor of resistance 100 Ω, inductor of inductance 1 H and…JEE Main 2023 (8 Apr, Shift 2)
In the circuit shown in the figure, the ratio of the quality factor and the band width is…JEE Main 2023 (24 Jan, Shift 1)
A series LCR circuit is connected to an ac source of 220 V, 50 Hz. The circuit contain a…JEE Main 2023 (1 Feb, Shift 1)
In a series LCR circuit, C = 2, L = 1 mH and R = 10 Ω. The ratio of the energies stored…MHT CET 2023 (11 May, Shift 2)
For the given figures, choose the correct options:JEE Main 2023 (29 Jan, Shift 2)
A series LCR circuit consists of R = 80 Ω, XL = 100 Ω, and XC = 40 Ω. The input voltage…JEE Main 2023 (31 Jan, Shift 2)
To increase the resonant frequency in series LCR circuit,JEE Main 2022 (25 Jul, Shift 1)

Resonance, Bandwidth & Q Factor question from JEE Main 2023 (12 Apr, Shift 1)

More questions on Resonance, Bandwidth & Q Factor