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=10Omega`
(ii) Current at resonance `=(E)/(R )=(100)/(10)=10A`
(iii) Resonant frequency, `v_(0)=(1)/(2pisqrt(LC))`
`v_(0)=(1)/(2pisqrt((100xx10^(-3))(20xx10^(-6))))=112.5Hz`