Question

please help me need to check homework to see if correct working out

21 o.ZH 8,001 2 CI 2 S2

Answer 1

Omega = 100 Rad/sec As we know, Impedance of RLC circuit: Z = 1/squareroot (1/R)^2 + (1/x_L - 1-x_c)^2 x_L = omega L = 100 times 0.2 = 20 ohm x_c = 1/omega c = 1/100 times 0.001 x_c = 10 ohm z = 1/squareroot (1/12)^2 + (1/20 - 1/10)^2 = 1/0.097 = 10.309 ohm \r\n in complex form: - z_eq = j x_L Vertical-bar Vertical-bar - jx_c Vertical-bar Vertical-bar R = (j20 times -j10/j20 - j10) Vertical-bar Vertical-bar R = (200/j10) Vertical-bar Vertical-bar 12 = -j20 Vertical-bar Vertical-bar 12 = 12 times -j20/12 - j20 z_eq = 8.823 - 5.294j polar form: - = 10.289 angle -30.963 degree \r\n I(t) = V(t)/ Vertical-bar z Vertical-bar = 75 cos (100t)/10.289 I(t) = 7.289 cos (100t)