Student Login

Home›Chapters›Alternating Current PYQs›Resonance, Bandwidth & Q Factor›Question 39

JEE Main 2024 (1 Feb, Shift 1) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from JEE Main 2024 (1 Feb, Shift 1)

Q39JEE Main 2024 · 1 FEB · SHIFT 1Easy

Resonance, Bandwidth & Q Factor

In series LCR circuit, the capacitance is changed from $C$ to $4C$ . To keep the resonance frequency unchanged, the new inductance should be:

Show answer and solution

Answer: (c)

$f_0 = \dfrac{1}{2\pi\sqrt{LC}}$ stays the same if $LC$ stays the same.
$L'(4C) = LC \Rightarrow L' = \dfrac{L}{4}$
Change $= L - \dfrac{L}{4} = \dfrac{3}{4}L$ (a reduction).
So the answer is (c) reduced by $\frac{3}{4}L$ .

Report a mistake

More questions on Resonance, Bandwidth & Q Factor

For a given series LCR circuit it is found that maximum current is drawn when value of…JEE Main 2024 (6 Apr, Shift 2)
In LCR resonant circuit, the current and voltage have phase differenceMHT CET 2024 (11 May, Shift 2)
A LCR circuit is at resonance for a capacitor C, inductance L and resistance R. Now the…JEE Main 2024 (8 Apr, Shift 1)
Given below are two statements: Statement I: In an LCR series circuit, current is maximum…JEE Main 2024 (6 Apr, Shift 1)
Which one of the following graphs correctly represents the variation of impedance (Z) of…MHT CET 2024 (15 May, Shift 2)
With gradual increase in frequency of an a.c. supply, the impedance of an LCR series…MHT CET 2024 (11 May, Shift 1)
In LCR series circuit if the frequency is increased, the impedance of the circuitMHT CET 2024 (4 May, Shift 1)
An inductance of 2 mH, a condenser of 20 and a resistance of 50 Ω are connected in series…MHT CET 2024 (16 May, Shift 2)