3Resistance of Conductors Resistance of material is dependent on several factors:Type of MaterialLength of the ConductorCross-sectional areaTemperature
4Type of MaterialDifferences at the atomic level of various materials will cause variations in how the collisions affect resistance.These differences are called the resistivity.We use the symbol (Greek letter rho).Units are ohm-meters.
5LengthThe resistance of a conductor is directly proportional to the length of the conductor.If you double the length of the wire, the resistance will double. = length, in meters.
6AreaThe resistance of a conductor is inversely proportional to the cross-sectional area of the conductor.If the cross-sectional area is doubled, the resistance will be one half as much.A = cross-sectional area, in m2.
7Resistance Formula At a given temperature, This formula can be used with both circular and rectangular conductors.
8FIG. 3.2 Factors affecting the resistance of a conductor.
9FIG. 3. 3 Cases in which R2 > R1 FIG Cases in which R2 > R1. For each case, all remaining parameters that control the resistance level are the same.
10Electrical Wire Tables The American Wire Gauge is the primary system to denote wire diameters.The higher the AWG number, the smaller the diameter.A given length of AWG 22 wire will have more resistance than the same length of AWG 14 wire.Larger gauge wires can handle more current.
11Circular Mils (CM) Diameter is expressed in circular mils. 1 CM is defined as the area of a circle having a diameter of 1 mil (0.001 inch).A square mil is the area of a square having sides 1 mil long.1 CM = /4 square mils
13FIG. 3.5 Verification of Eq. (3.2): ACM = (dmils)2.
14FIG. 3.8 Popular wire sizes and some of their areas of application.
15Temperature EffectsFor most conductors, an increase in temperature causes an increase in resistance.This increase is relatively linear.In many semiconductors, an increase in temperature results in a decrease in resistance.
16Temperature EffectsThe rate of change of resistance with temperature is called the temperature coefficient.Represented by (Greek letter alpha).Any material for which the resistance increases as temperature increases is said to have a positive temperature coefficient. If it decreases, it has a negative coefficient.
17FIG Demonstrating the effect of a positive and a negative temperature coefficient on the resistance of a conductor.
18FIG. 3.13 Effect of temperature on the resistance of copper.
19Fixed Resistors Resistances essentially constant. Rated by amount of resistance, measured in ohms.Also rated by power ratings, measured in watts.
20Fixed ResistorsDifferent types of resistors are used for different applications.Molded carbon compositionCarbon filmMetal filmMetal OxideWire-WoundIntegrated circuit packages
21FIG. 3.16 (continued) Film resistors: (a) construction; (b) types.
22FIG. 3.16 Film resistors: (a) construction; (b) types.
40Measuring Resistance Remove all power sources to the circuit. Component must be isolated from rest of the circuit.Connect probes across the component.No need to worry about polarity.Useful to determine shorts and opens.
41FIG Resistance components of a potentiometer: (a) between outside terminals; (b) between wiper arm and each outside terminal.
42ThermistorsA two-terminal transducer in which the resistance changes with change in temperature.Applications include electronic thermometers and thermostatic control circuits for furnaces.Many have negative temperature coefficients.
44FIG NTC (negative temperature coefficient) and PTC (positive temperature coefficient) thermistors.
45Photoconductive Cells Two-terminal transducers which have a resistance determined by the amount of light falling on them.May be used to measure light intensity or to control lighting.Used as part of security systems.
48Varistors Resistors which are sensitive to voltage. Have a very high resistance when the voltage is below the breakdown value.Have a very low resistance when the voltage is above the breakdown value.Used in surge protectors.
49FIG. 3.39 Varistors available with maximum dc voltage ratings between 18 V and 615 V.
50FIG. 3.39 (continued) Varistors available with maximum dc voltage ratings between 18 V and 615 V.
52FIG. 3.41 Dashboard dimmer control in an automobile.
53ConductanceThe measure of a material’s ability to allow the flow of charge.Conductance is the reciprocal of resistance.G = 1/RUnit is siemens.
54SuperconductorsAt very low temperatures, resistance of some materials goes to almost zero.This temperature is called the critical temperature.Meissner Effect - When a superconductor is cooled below its critical temperature, magnetic fields may surround but not enter the superconductor.
55FIG. 3.14 Rising temperatures of superconductors.