Abstract

This chapter describes the use of simultaneous equations and graphical solutions in electrical problems. Presentation on a graph or chart is a forceful method of representing data and presenting the relationships between data. Data with only two variables that are related to each other, so that whatever value one has, the other has some corresponding value, are the best adapted for presentation on a graph. A rectangular system of coordinates is formed by drawing two perpendicular lines through a point. It is found that a pair of simple simultaneous equations can often be solved easily by substitution. Another approach consists of algebraic addition and subtraction. The relationship between current and voltage in a resistive circuit can be portrayed by a linear equation. It is observed that simultaneous linear equations can be solved by methods, such as substitution, subtraction or addition, and determinants. Complex simultaneous linear equations are readily solved by the use of the determinants. It is suggested that the use of determinants to solve linear equations requires careful placement of the coefficient of each variable.

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