Resonance frequency

The above left is an RLC series circuit, where the resistance of the resistor, the self-inductance of the inductor and the capacitance of the capacitor are R R , L L and C C , respectively. The above right shows the current intensity as a function of the frequency of the AC power supply, where f 0 f_0 is the resonance frequency of this circuit. Which of the following methods can make the resonance frequency greater than f 0 f_0 ?

a) Replacing the inductor with one that has an inductance greater than L . L.
b) Replacing the capacitor with one that has a conductance greater than C . C.
c) Connecting more capacitors with capacitance C C in series to the existing capacitor.

a) and b) a) and c) a) only c) only

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1 solution

Aavruti Porlikar
Apr 16, 2014

Since resonance frequency is inversely proportional to square root of LC ,hence adding capacitors in series will decrease the net capacitance hence answer is (c) .

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