Question

In a RLC circuit capacitance is changed from C to 2 C. For the resonant frequency to remain unchanged, the inductance should be changed from L to(a) 4L(b) 2L(c) L/2(d) L/4

Answer 1

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♦ Option [B] is Correct

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Answer 2

Answer:

C) L/2

Explanation:

Change in capacitance = C to 2C (Given)

Resonant frequency = Unchanged (Given)

RLC circuit Voltage -VR = iR VL = iXl  VC = iXC

- wherein

At resonance, ω = 1/√LC, when ω is constant

Therefore, -

= 1/L1C1= 1/L2C2 = 1/LC

= 1/L2(2C)

= 1/2L2C

Therefore L2 = L/2

Thus, for the resonant frequency to remain unchanged, the inductance should be changed from L to L/2