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To reduce the resonant frequency in an L...

To reduce the resonant frequency in an LCR series circuit with a generator

A

the generator frequency should be reduced.

B

another capacitor should be added in parallel to the first.

C

the iron core of the inductor should be removed.

D

dielectric in the capacitor should be removed.

Text Solution

Verified by Experts

The correct Answer is:
B

At resonance `X_L=X_C rArr omega_0L=1/(omega_0C)`
`rArr omega_0=1/sqrt(LC)"rad"/s`
`rArr v_0=1/(2pisqrt(LC))` Hz
Resonance frequency in an L-C-R circuit is given by `v_0=1/(2pisqrt(LC))`
If L or C increases, the resonant frequency will reduce to increase capacitance we must connect another capacitor parallel to the first.
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