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Alternating Current

Question
CBSEENPH12039732
Wired Faculty App

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

  • 4L

  • 2L

  • L/2

  • L/4

Solution

C.

L/2

In the condition of resonance XL = XC
or
ωL =1/ ωC  = .................. (i)
Since, resonant frequency remains unchanged
So, square root of LC = constant
or LC = constant
∴ L1 C1 = L2 C2 ⇒ L×C = L2× 2C
L2 = L/2

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