A 100mH inductor, a 25 muF capacitor and a 15 Omega resistor are connected in series to a 120 V. 50 Hz ac, source Calculate
(a) impedance of the circuit at resonance.
(b) current at resonance
(c) resonant frequency

Explanation

(i) Impedance of circuit at resonance `Z = R = 10 Omega`
(ii) Current at resonance `= (E)/(R) = (100)/(10) = 10 A`
(iii) Resonant frequency, `v_(0) = (1)/(2pi sqrt(LC))`
`v_(0) = (1)/(pisqrt((100 xx 10^(-3))(20 xx 10^(-6)))) = 112.5 Hz`