Chapter 2 Basic Laws Introduction Ohm’s Laws Nodes, Branches, and Loops Kirchhoff’s Laws Series Resisters and Voltage Division Parallel Resisters and Current Division Wye-Delta Transformations Summary Introduction To actually determine the values of these variables in a given circuit requires that we understand some fundamental laws that govern electric circuits. Basic Laws: Ohm’s Law Kirchhoff’s Law Ohm’s Laws Resistance: the physical property (or ability) to resist current Resistor: the circuit element used to model the current-resisting behavior of a material (Simplest passive element) Ohm defined the constant of proportionality for a resistor to be the resistance, R Ohm’s Law: Ohm’s Law states that the voltage v across a resistor is directly proportional to the current i flowing through the resistor The resistance R of an element denotes its ability to resist the flow of electric current, measured in ohms( ) Two extreme possible case: Short Circuit: A short circuit is a circuit element with resistance approaching zero. Open Circuit: An open circuit is a circuit element with resistance approaching infinity Passive sign convention: If not conform with it: Fixed: its resistance remains constant. (wire-wound type; carbon film type) Variable: variable resistors have adjustable resistance. (composition type; slider pot) Resistor: Potentiometer In general Linear resistor: obey Ohm’s Law. Nonlinear resistor: does not obey Ohm’s Law. Conductance is the ability of an element to conduct electric current, measured in siemens (S). Power representation of a resistor: The power dissipated in a resistor is a nonlinear function of either current or voltage Since R and G are positive quantities, the power dissipated in a resistor is always positive. Thus, a resistor always absorbs power from the circuit. This confirms the idea that a resistor is a passive element, incapable of generating energy. Notice: