Question

18

P 5.47 18 of19 Part A Consider the circuit shown in (Figure 1). Find the phasor for the voltage Enter your answer using polar notation. Express argument in degrees Figure 1 of 1 Submit Part B Find th๑ phasor for the current through the resistor. Enter your answer using polar notation. Express argument in degrees I H 0.5 cos(1o0r) Submit I need all the parts please Part C and a detailed explination Fidh phesor or the how to plot the graph. thank you ruhnuctor Enter your answer using polar notation. Express argument in degrees. Submit Part D Construet a phasor diagram showing I, V, I, and I The location and orientation of the vectors will be grad๑d. The length ofthe v๑ctors will not be graded. No elements selected

Answer 1

i_s = 0.5 cos (100 t) i_s = 0.5 angle 0 degree A omega = 100 rad/sec L = 1 H, X_L = j omega L = j times 100 times 1 X_L = 100 j Ohm X_L = 100 angle 90 degree Ohm circuit is frequency domain: - Part A: - (a) Apply KCa at node V i_s = i_R + i_C i_R = V/100 j 0.5 = V/200 + V/100 j V [1/200 + 1/100 j] = 0.5 V = 20 + 40 j V = squareroot 20^2 + 40^2 angle tan^-1 40/20 V = 44.721 angle 63.43 degree V V = 44.721 angle -26.57 degree V Part B: - Current through resistor is u. I_R = V/R = 44.721 angle 63.43 degree/200 = 0.223 angle 63.43 degree A I_R = 0.223 angle 63.43 degree A (or) I_R = 0.223 angle -26.57 degree A Part C: - Current through inductor is I_l = V/X_L = 44.721 angle 63.43/100 angle 90 degree = 0.447 angle - 26.57 degree A I_L = 0.447 angle -26.57 degree A (or) I_L = 0.447 angle -116.57 degree A