A 100 mH inductor, a `20 mu F` capacitor and a `10 Omega` resistor are connected in series to a 100 V a.c. source. Calculate
(i) impedance of circuit at resonance
(ii) current at resonance (iii) 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`