At resonance if the capacitance is doubled then what should be the inductance to maintain resonance frequency?
Correct answer: D. Halved
- A. Doubled
- B. Quadrupled
- C. Tripled
- D. Halved
Explanation
In an RLC circuit at resonance, the resonance frequency is determined by the formula f = 1 / (2π√(LC)). To maintain the same resonance frequency when the capacitance C is doubled, the inductance L must be halved. This keeps the product LC constant, ensuring the resonance condition is met. Option D is correct because halving the inductance balances the effect of doubling the capacitance. The other options incorrect because doubling, tripling, or quadrupling the inductance would disrupt this balance, resulting in a different resonance frequency.
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