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Chapter 5

DC Circuit Theory

John Bird

## 5.1 Introduction

The laws that determine the currents and voltage drops in DC networks are: (a) Ohm’s law, (b) the laws for resistors in series and in parallel, and (c) Kirchhoff’s laws (see Section 5.2). In addition, there are a number of circuit theorems that have been developed for solving problems in electrical networks. These include:

(i) the superposition theorem (see Section 5.3),

(ii) Thévenin’s theorem (see Section 5.5),

(iii) Norton’s theorem (see Section 5.7), and

(iv) the maximum power transfer theorem (see Section 5.9).

## 5.2 Kirchhoff’s Laws

Kirchhoff’s laws state:

(a) Current Law. At any junction in an electric circuit the total current flowing towards that junction is equal to the total current ...

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