Graphics in the solution of complex quantities

IN THE solution of a-c network problems there are two common methods of attack. In one the system is reduced to its equivalent impedances, and in the other to its equivalent admittances. The electrical quantities of a series circuit are determined most simply by finding first the impedances of the parts that are in series, then solving for the common voltage (if it is not given) and for the voltage drops. A multiple circuit is solved most simply by expressing it in terms of its admittances, then solving for the currents in the branches. If combinations of the two types of circuits are involved, the solution is simplified by using either all impedances or all admittances.