Electro Magnetic Induction And Alternating Currents Question 194

Question: In a LCR circuit capacitance is changed from C to 1C. For the resonant frequency to remain unchanged, the inductance should be change from L to

Options:

A) 4L

B) 2L

C) $ L/2 $

D) $ L/4 $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Resonance frequency, $ {\omega_{0}}=\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{L’(2C)}} $
    $ \therefore ,L’=\frac{L}{2} $ .


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