Question

Find Vo by nodal analysis 1Ω 3Ω 310

Answer 1

Given circuit: - find v_0 by nodal analysis. By nodal analysis at nodal (v_1) v_0 - v_5/3 + v_1 - v_3/1 - 2 angle 0 + v_1 - v_5/1 + v_0/5 = 0 (super nodal) and - v_1 + 12 angle 30 degrees + v_0 = 0 v_0 = v_1 - 12 angle 30 degrees v__(2) At nodal (v-3) v_3 - v_1/1 + v_3/-23 + v_1/1 + 2 angle 0 = 0 (super nodal) -2 j v_3 + 2j v_1 + (-2j v_4) + (-2j) (2 angle 0) = 0 2j v_1 - v_3 - 2j v_4 = 4 angle 90. Rightarrow (3) At nodal (v_4) v_4/1 + v_3 - v_1/1 + v_3/- 2j + 2 angle 0 = 0 - v_3 - 6 angle 0 + v_4 = 0 - v_3 + v_4 = 6 angle 0 rightarrow__(4) \r\n At nodal (v_5) v_5 - v_1/1 + v_5/j + v_5 - v_0/3 = 0 3j v_5 - 3j v_1 + 3 v_5 + j v_5/3j - j v_0 = 0 - 3j v