Question

Find the node voltages in the following circuit. (a 2) RI-1k0

please help me to solve this nodal analysis. please try to give reasons, explain the sign convenient rules while doing..thanks in advance. ..

Answer 1

Given circuit: - a = 2 sign convention: - For a voltage source, if current leave from the positve terminal, then that voltage source could be considered as a delivering/positive (Active) valued source. Otherwise, absorbing/passive (negative valued) source. rightarrow For current source, if current leaves from the node/junction consider as a positive current. rightarrow Assume all currents are leaving from node/junction (at every using nodal Analysis (And with the help of ohm's law: - V = IR): - At Node (1): - V_1/R_3 + V_1 - V_2/R_1 - 2 = 0 implies V_1/2 + V_1/1 - V_2/1 = 2 implies 3 V_1 - 2 V_2 = 4 rightarrow (1) At Node (2): - i_A + V_2 - V_1/R_1 + a V_x + V_2 - V_3/R_2 implies 2 + V_2 - V_1/1 + 2 V_x + V_2 - V_3/2 = 0 clearly (V_2 - V_3/R_2) middot R_2 = V_x implies V_x = V_2 - V_3 implies 2 + V_2 - V_1 + 2 (V_2 - V_3) + (V_2 - V_3)/2 = 0 implies V_2 - V_3 (2 + 1/2) + V_2 - V_1 = (-2 times 2/2) implies