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MHT CET20228 Aug 2022Evening ShiftPhysicsAlternating CurrentActual

A 10 resistance, 5 mH coil and 10 F capacitor are joined in series. When alternating current source of suitable frequency is joined to this combination, the circuit resonates. If the resistance is halved, the resonant frequency is

Options

  1. Aquadrupled.
  2. Bhalved.
  3. Cdoubled.
  4. Dremains unchanged.

Correct answer

D. remains unchanged.

Step-by-step solution

Concept based. At resonance, in LCR circuit inductive and capacitive reactance are equal: aligned & X_L=X_C & 2 fL = 1 2 fC & f ^2= ( 1 4 ^2 LC ) aligned The resonant frequency is independent of the resistance.

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