Circuit Analysis I with MATLAB Applications

Chapter 2: Analysis of Simple Circuits

This chapter defines constant and instantaneous values, Ohm's law, and Kirchhoff's Current and Voltage laws. Series and parallel circuits are also defined and nodal, mesh, and loop analyses are introduced. Combinations of voltage and current sources and resistance combinations are discussed, and the voltage and current division formulas are derived.

2.1 Conventions

We will use lower case letters such as v, i, and p to denote instantaneous values of voltage, current, and power respectively, and we will use subscripts to denote specific voltages, currents, resistances, etc. For example, v S and i S will be used to denote voltage and current sources respectively. Notations like v R1 and i R2 will be used to denote the voltage across resistance R 1 and the current through resistance R 2 respectively. Other notations like v A or v 1 will represent the voltage (potential difference) between point A or point 1 with respect to some arbitrarily chosen reference point taken as "zero" volts or "ground".

The designations v AB or v 12 will be used to denote the voltage between point A or point 1 with respect to point B or 2 respectively. We will denote voltages as v( t) and i( t) whenever we wish to emphasize that these quantities are time dependent. Thus, sinusoidal (AC) voltages and currents will be denoted as v( t)...

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