To increase the resonant frequency in series LCR circuit, (a) source frequency should be increased. (b) another resistance should be added in series with the first resistance. (c) another capacitor should be added in series with the first capacitor. (d) the source frequency should be decreased.

Answer: (c). f₀ = (1)/(2π√(LC)) depends only on L and C, not on source frequency or R. A capacitor added in series gives Ceq = (C₁C₂)/(C₁+C₂) < C₁. Smaller C gives larger f₀. So the answer is (c).

To increase the resonant frequency in series LCR circuit, | JEE Main 2022 (25 Jul, Shift 1)

Q72JEE Main 2022 · 25 JUL · SHIFT 1Easy

Resonance, Bandwidth & Q Factor

To increase the resonant frequency in series LCR circuit,

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Answer: (c)

$f_0 = \dfrac{1}{2\pi\sqrt{LC}}$ depends only on $L$ and $C$ , not on source frequency or $R$ .
A capacitor added in series gives $C_{eq} = \dfrac{C_1C_2}{C_1+C_2} < C_1$ .
Smaller $C$ gives larger $f_0$ .
So the answer is (c).

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