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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Alternating current varies periodically, so phase relationships become essential when current passes through a resistor, capacitor or inductor. The chapter distinguishes resistance from capacitive and inductive reactance, explains phase lead and lag, and connects changing electric and magnetic fields with the production and properties of electromagnetic waves.
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