Базовые элементы электрических цепей

Method of nodal potentials

• Denote the sum of the conductances of the branches belonging to one node by the nodal conductances: G1+G2+G3= G11 G2+G4+G5=G22 G3+G5+G6=G33 And the conductance of the branches between the nodes with the mutual conductances: G2 = G12=G21 G3=G13=G31 G5=G23=G32
• Taking into account the introduced designations, we write down the system of equations for calculating the nodal potentials in general form:
• φ1G11- φ2G12- φ3G13 = E1G1 φ1G21- φ2G22+ φ3G23 = -E4G4 -φ1G31- φ2G32+φ3G33 = -E6G6
• Thus, the equation for a given node on the left side contains the multiplication of the node potential to the sum of the conductances of the branches connected to the node, minus the multiplication of the potentials of other nodes to the mutual conductances, in the right side the multiplication of the EMF to the conductance of the branch.