ElectroMagnetic InductionHard

Question

In a LCR circuit capacitance is changed from C to 2C. For the resonant frequency to remain unchanged, the inductance should be changed from L to

Options

A.4L
B.2L
C.L/2
D.L/4

Solution

ωres =
If ωres is to remain same, the product LC should also not change.
⇒     LC = L′C′
⇒     LC = L′2C
⇒     L′ = L/2

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