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: - Physics MCQ AIEEE 2004 2026 | ExamTest.live

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

Solution & Step-by-step Explanation

The resonant frequency is given by f_{r} = \frac{1}{2 π L C} .For f_{r} to be constant, the product L C must remain constant. L_{1} C_{1} = L_{2} C_{2} L \times C = L^{'} \times 2 C L^{'} = \frac{L}{2}

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

4 L

2 L

L /2

L /4

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