Question

Find the phasors for the current and for the voltages of the circuit shown below. Construct a phasor diagram showing VS, I, VR, and V.. What is the phase relationship between Vs and I? (7 pts) 10022 AN v (t) = 10 cos(5000)

Answer 1

Solution on Given circuit diagram- 1002 tu n 21 VSH = lolos 500t m loor Here source operates at a frequency of w=500 radi sec om obraining the impedances of reactive elements - Ze = jul - jxsoox 0.2 = 100jor Transform the circuit into phasor domain - ūs = 10L0° volt a 100gr Using KUL in the mesh - ve = ī (100+j100) Current in the circuit & Ī = 10L0 = 10/0 (100+jioo) 10052 45° I = 0.0107 _45° Ampore] novo, Voltage drop across R - Ūe a IR - (0.0107 L-45°) x 100 Vr = 4.041 1–45° volt! and voltage drop across 'd' - ve = I. cjie) =(0.0101/-45°) (100290) (ū = 7011 45° iset]

IVL1 = 7:0111 7450 IVSI = 10y A is o reference -45° IR=I TURI = 7-0717 K- (Phasor diogram) form giren phasor diagram - V = 1/6 = /6 V I - III / Op = 0.704445° A 1. The us leads to the I by 45 degrees Answer: