In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1 and resistance R is 100 Ω. The frequency at which resonance occurs is:- (a) 15.9 kHz (b) 1.59 rad/s (c) 1.59 kHz (d) 15.9 rad/s

Answer: (c). f₀ = (1)/(2π√(LC)); R does not affect the resonant frequency. LC = (10⁻²)(10⁻⁶) = 10⁻⁸ ⇒ √(LC) = 10⁻⁴ s f₀ = 10⁴2π ≈ 1592 Hz So the answer is (c) 1.59 kHz.

In a series LCR circuit, the inductance L is 10 mH, capacitance C is… | NEET 2023

Q54NEET 2023Easy

Resonance, Bandwidth & Q Factor

In a series LCR circuit, the inductance $L$ is $10\text{ mH}$ , capacitance $C$ is $1\ \mu\text{F}$ and resistance $R$ is $100\ \Omega$ . The frequency at which resonance occurs is :-

Show answer and solution

Answer: (c)

$f_0 = \dfrac{1}{2\pi\sqrt{LC}}$ ; $R$ does not affect the resonant frequency.
$LC = (10^{-2})(10^{-6}) = 10^{-8} \Rightarrow \sqrt{LC} = 10^{-4}\text{ s}$
$f_0 = \dfrac{10^{4}}{2\pi} \approx 1592\text{ Hz}$
So the answer is (c) 1.59 kHz.

Report a mistake

More questions on Resonance, Bandwidth & Q Factor

An inductor of inductance 2 is connected in series with a resistance, a variable…JEE Main 2023 (29 Jan, Shift 2)
An LCR series circuit of capacitance 62.5 nF and resistance of 50 Ω, is connected to an…JEE Main 2023 (25 Jan, Shift 1)
Resistor of 2 Ω, inductor of 100 and capacitor of 400 pF are connected in series across a…MHT CET 2023 (12 May, Shift 2)
An inductor of 0.5 mH, a capacitor of 20 and a resistance of 20 Ω are connected in series…MHT CET 2023 (12 May, Shift 1)
Given below are two statements: Statement I: An AC circuit undergoes electrical resonance…JEE Main 2023 (13 Apr, Shift 2)
An inductor of 0.5 mH, a capacitor of 20 and resistance of 20 Ω are connected in series…JEE Main 2023 (31 Jan, Shift 1)
With increase in frequency of a.c. supply, the impedance of an L-C-R series circuitMHT CET 2023 (13 May, Shift 1)
With the gradual increase in frequency of an a. c. source, the impedance of an LCR series…MHT CET 2023 (11 May, Shift 1)

Resonance, Bandwidth & Q Factor question from NEET 2023

More questions on Resonance, Bandwidth & Q Factor