In the circuit shown in Fig. calculate
(i) current in the circuit
(ii) Potential difference across each element.

Explanation

Here, `C = 2 mu F = 2 xx 10^(-6) F, L = 0.2 H, r = 10 Omega`
`R = 50 Omega, E_(v) = 220 V, v = 50 Hz`
Effective resistance, `R' = R + r = 50 + 10 = 60 Omega`
`X_(L) = omega L = 2 pi v L = 2 xx 3.14 xx 50 xx 0.2 = 62.8 Omega`
`X_(C ) = (1)/(omega C) = (1)/(2 pi v C) = (1)/(2 xx 3.14 xx 50 xx 2 xx 10^(-6)) = 1592 Omega `
`Z = sqrt(R^(2) + (X_(L) - X_(C ))^(2)) = sqrt(60^(2) + (62.8 - 1592)^(2)) = 1530.4 ohm`
Current in the circuit, `I_(v) = (E_(v))/(Z) = (220)/(1530.4) = 0.14 A`
Pot. diff. across `R = I)(v) R = 0.14 xx 50 = 7` volt
Pot. diff. across `L = I_(v) sqrt(r^(2) + X_(L)^(2)) = 0.14 sqrt(10^(2) + (32.8)^(2)) = 0.14 xx 63.6 = 8.90 V`
Pot. diff. across `C = I_(v) X_(C ) = 0.14 xx 1592 = 222.9 V`