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PhysicsEMI/ACSeries AC CircuitsMedium2 minQB

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

Answer:

Solution:

As resonance frequency remains unchanged, therefore $ω^{'} = ω$

$\Rightarrow \frac{1}{L ^{'} C ^{'}} = \frac{1}{L C}$

$\Rightarrow L^{'} C^{'} = L C$

$\Rightarrow L^{'} (4 C) = L C$

$\Rightarrow L^{'} = \frac{L}{4}$

$∵$ Inductance must be decreased by $\frac{3 L}{4}$ .

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Series AC Circuits

⏱ 2mℹ️ Source: QB

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