A circuit consists of a capacitor with capacitance `C` and a coil with active resistance `R` and inductance `L` connected in parallel. Find the impedane of the circuit at frequency `omega` of alternating voltage.

Explanation

From the previous problem
`cancel(Z)=(R^(2)+omega^(2)L^(2))/(sqrt(R^(2)+{omegaC(R^(2)+omega^(2)L^(2))-omegaL}^(2)))`
`=(R^(2)+omega^(2)L^(2))/(sqrt((R^(2)+omega^(2)L^(2))(1-2 omega^(2)LC)+omega^(2)C^(2)(R^(2)+omega^(2)L^(2))^(2)))`
`=(sqrt(R^(2)_omega^(2)L^(2)))/( sqrt((1-2 omega^(2)LC)+omega^(2)C^(2)(R^(2)+omega^(2)L^(2))))=(sqrt(R^(2)+omega^(2)L^(2)))/(sqrt((1-omega^(2)LC)^(2)+(omegaRC)^(2)))`