Question

Part A Constants I Periodic Table A 30 mH inductor with 2.8 2resistance is connected in series to a 25 P capacitor and a 20 Hz, 23 V (ms) source. Calculate the ms current Express your answer using two significant figures να ΑΣφ I A Request Answer Submit Part B Calculate the phase angle Express your answer using two significant figures. Besust Answer Submit Part C Calculate the power dissipated in this circuit Express your answer using two significant figures. AE W P- Request Answer Submit

Answer 1

For LCR series = > V_rms = 23 V, F = 20 Hz L = 30 mH, R = 2.8 ohm, C = 25 mu F therefore w = 2 pi F = 2 pi times 20 = 125.6 Impendence(Z) = squareroot (WL - 1/WC)^2 + R^2 = > Z = squareroot (125.6 times 30 times 10^-3 - 1/125.6 times 25 times 10^-6)^2 + (2.8)^2 = > Z = 314.72 ohm therefore I_rms = V_rms/Z = 23/314.72 = 0.073 = > I_rms = 0.073 Amp cos phi = R/2 = 2.8/314.72 = > phi = 89.49' P = V_rms I_rms times cos phi = > P = 0.073 times 23 times cos 85.49 = > P = 0.016 Watt