Question

3. (10 Points) Find the Thevenin equivalent circuit between terminals a and b. a 30 22 2002 102 I 51 ЗА b

Answer 1

Given data: Egon on 3or. 13A 51 b therinen's voltage, Vth step. 1: 1. So find 3A t. lon 300 Uth 200} 7(3-1) 51 1 ABA nd As branches are in voltage paralell across 1st branch a van branch - V across 2 301 = 20 (3-1) +51 45I = 60 -) 1 = 1.33 A Ith = voltage across ist branch 30 I - 30 (1.33) = 39.98

Steg-2 To find thevenin's resistance, Rth Giv Let us assume IA source is driving curren 300 the given network as shown below. LA 1A (4-1) 3on 3200 &lon + 51 VOLA S+ As branches are in paralell v across ast branch - v' across and branch I 301 (4-I) 20+5 1 45 I = 80 1 = 1.77 A Now applying KvL in the outer most loop - Vp+301 = 0 30 (1.77) = 53.1 V > VG = 301 Vq total voltage ... Rth 53.1 = 300 1.77 1 total current Thevenin's equivalent: Rth=30h = 39.90 ob
thevenins voltage is 39.9V

Thevenins resistance is 30 ohms