Question

frequency=5000

a) Calculate values for XL,Xc and ZT.

b) Calculate I (phasor format) for the circuit.

c) Calculate the voltage (phasor format) drop across the resistor (VR1), the inductor (VL1 ) and capacitor (Vc1)

xsci L1 15mH 0.033 R1 Fcn Gen RS 50Ω V1 510Ω

Answer 1

Frequency f = 5 K Hz X_L = w L X_C = 1/w C Z_T = Thevinin's impedance seen through function generator X_L = w L = 2 pi f L = 2 pi times 5h times 15 m H = 471.23 Ohm X_C = 1/w C = 1/2 pi fc = 1/2 pi times 5k times 0.033 mu F = 0.001 Ohm Z_T = 510 + j X_L - j X_C = 510 + j 471.23 - j 0.001 = (510 + j 471.229) Ohm = 694.37 L + 42.73 \r\n calculation of I (value of v, is not mentioned) I = v_1/R_s + z_T = v_1/50 + 510 + j 471.229 = v_1/560 + j 471.229 = v_1/731.88 angle 40.07 voltage across resistor = I times R_1 = v_1 times 510/731.88 angle 40.07 = v_1 times 0.69 angle - 40.07 voltage across inductor = I times j times L = v_1 times j 471.23/731.88 angle 40.07 = v_1 times 0.64 angle 50 degree voltage across capacitor = I time - j times C = v_1 times j 0.001/731.88 angle 40.07 = v_1 times 1.36 times 10^- 6 angle - 50 degree