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Chapter 25 Current, Resistance, and Electromotive Force PowerPoint® Lectures for University Physics, Twelfth Edition – Hugh D. Young and Roger A. Freedman Lectures by James Pazun Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Goals for Chapter 25 • To consider current and current density • To study the intrinsic property of resistivity • To use Ohm’s Law and study resistance and resistors • To connect circuits (mentally, virtually, or with actual parts) and find emf • To examine circuits and determine the energy and power in them • To describe the conduction of metals microscopically, on an atomic scale Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Introduction • Electrons leave one terminal of a battery, pass through wire of low resistance, reach a light bulb with a special calibrated resistor sealed in a bulb of inert gas, and then return to the opposite terminal of the battery. • The electron’s journey has been interrupted by our special resistor because we had a nefarious ulterior motive. We wanted light! Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley The direction of current flow • In the absence of an external field, electrons move randomly in a conductor. If a field exists near the conductor, its force on the electron imposes a drift. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Current flowing • Positive charges would move with the electric field, electrons move in opposition. • The motion of electrons in a wire is analogous to water coursing through a river. This fits the metaphor used earlier. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Current flow requires conductors throughout • In Figure 25.4, a negative terminal of a battery extends through wire to a bare post inside the open tube. Another open tube next to the first one also contains a bare post with wire running back to entry of a light bulb resistor. The exit of the light bulb resistor continues through wire back to the positive terminal on the battery. • If the tubes are immersed in a conducting fluid, the bulb will light. If the fluid is nonconducting, the light will remain off. • Consider Example 25.1. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Resistivity is intrinsic to a metal sample (like density is) Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Resistivity and temperature • Resistivity rises with increasing temperature. The electronic motion is analogous to shopping on quiet days (lower T) or busy days (higher T). See Figure 25.6. • Table 25.2 tabulates resistivities. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Resistance is an extensive property (like mass) • Copper is a good conductor, but it’s still possible to add magnitudes of resistance with copper because it takes more mass. • Figure 25.7 illustrates the model. • Figure 25.8 shows an unfortunate example of the heat generated when current and resistance are unmatched. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Resistors are color-coded for assembly work Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Current–voltage relationships • Ohm’s Law is linear, but current flow through other devices may not be. • Follow Example 25.2. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Calculating resistances • Refer to Example 25.3 to see the effects of changing temperature. • Refer to Example 25.4 to calculate the resistance of a hollow tube (unlike a normal wire). Figure 25.11 (below) illustrates this example. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Electromotive force and circuits • You’ve probably already thought “water doesn’t flow through a pipe without a pump; why should electrons flow through a wire?” • If those were your daydreams, you’re right. See Figures 25.12 and 25.13 at right. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Ideal diagrams of “open” and “complete” circuits Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Internal resistance • We generalize at the outset, but the truth of a battery is that you only get 12 V when a 12 V battery isn’t connected. • Making a connection allows electrons to flow, but internal resistance within the battery actually delivers incrementally less than 12 V. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Symbols for circuit diagrams • Shorthand symbols are in use for all wiring components. See below. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Source in an open circuit I • Consider Conceptual Example 25.5. • This example is illustrated in Figure 25.17. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Source in an open circuit II • Follow Example 25.6. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Voltmeters and ammeters • Follow Conceptual Example 25.7. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley A source with a short circuit • Follow Example 25.8. • Figure 25.20 (below) illustrates this example. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Potential changes around a circuit • The net change in potential energy must be zero for the entire circuit. • Local differences in potential and emf do occur. See Figure 25.21 below. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Energy conversion and power input to a source Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Power and energy in circuits • Consider Problem-Solving Strategy 25.1. • Refer to Example 25.9, illustrated by Figure 25.25 below. • Refer to Example 25.10. • Refer to Example 25.11, illustrated by Figure 25.26 below. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley A microscopic look at conduction • Consider Figure 25.27. • Consider Figure 25.28. • Follow Example 25.12. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley