A series circuit consisting of a capacitor with capacitance `C=22 mu F` and a coil with active resistance `R=20 Omega` and iniductance `L=0.35 H ` is connected to a source of alternating voltage with amplitude `V_(m)=180 V` and frequency `omega=314 s^(-1)`. Find `:`
`(a)` the current amplitude in the circuit,
`(b)` the phase difference between the current and the external voltage ,
`(c)` the amplitudes of voltage across the capacitor and the coil.

Explanation

`(a) (I_(m))/(sqrt(R^(2)+(omegaL-(1)/( omegaC))^(2)))~=4.48A`
`(b) tan varphi=(omegaL-(1)/( omegaC))/(R), varphi~= - 60 ^(@)` ltBRgt Current lags behind the voltage `V` by `varphi`
`(c)``V_(c)=(I_(m))/(omegaC)~=0.65 k V`
`V_(L//R)=I_(m) sqrt( R^(2) + omega^(2)L^(2))=0.5kV`