Question
An ac circuit contains a resistance of 1 k , a capacitor of 0.1\ F and an inductor of 1 mH connected in series. The resonance frequency of the circuit is approximately :
An ac circuit contains a resistance of 1 k , a capacitor of 0.1\ F and an inductor of 1 mH connected in series. The resonance frequency of the circuit is approximately :
D. 15.9 kHz
Given L = 1 mH = 10^ -3 H and C = 0.1\ F = 10^ -7 F . The resonance frequency of a series RLC circuit is given by f_r = 1 2 LC . Substituting the values: f_r = 1 2 10^ -3 10^ -7 f_r = 1 2 10^ -10 f_r = 10^5 2 Hz f_r = 50 kHz 15.9 kHz Answer: 15.9 kHz
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