Question

Problem 2. Find the unknown node voltages of the network using nodal analysis. 2a). (25 points) Hint: convert the voltage source 15V to the current source points) Hint: convert the voltage source 15V to thec Answer: 612 612 Vi= Rs R 5 12 15 V 3A 7

Answer 1

Soura transformation Apply nodal analysis at node �v_2� v_2 - 15/3 + v_2 - v_1/6 + v_2- v_3/6 = 0 2v_2 - 30 + v_2 - v_1 + v_2 - v_3/6 = 0 4v_2 - v_1 - v_3 = 30 rightarrow 1 Apply nodal analysis at node �v_3� v_3 - v_2/6 Ohm + v_3/7 + v_3 - v_1/5 = 0 \r\n 35(v_3 - v_2) + 30 v_3 + 42/v_3 - v_1/210 = 0 35 v_3 - 35v_2 + 30v-3 + 42 v_3 - 24v_1 = 0 107v_3 - 35v_2 - 42v_1 = 0 rightarrow 2 Apply nodal analysis at nod v_1 v_1 - v_2/6 + v_1 - v_3/5 + v_1 + 12/4 = 0 10v_5 10v_2 + 12v_1 - 12v_3 + 15v_1 + 180/60 = 0 37v_1 - 10v_2 - 12v_3 = - 180 rightarrow 3 solving wq 1, 2, & 3 v_1 = - 2.45 v v_2 = 7.237 v v_3 = 1.404 v