Chapter 17 Electric Potential
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1 Lecture PowerPoints Chapter 17 Physics: Principles with Applications, 6 th edition Giancoli Chapter 17 Electric Potential 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Dissemination or sale of any part of this work (including on the World Wide Web) will destroy the integrity of the work and is not permitted. The work and materials from it should never be made available to students except by instructors using the accompanying text in their classes. All recipients of this work are expected to abide by these restrictions and to honor the intended pedagogical purposes and the needs of other instructors who rely on these materials. Units of Chapter 17 Units of Chapter 17 Electric Potential Energy and Potential Difference Relation between Electric Potential and Electric Field Equipotential Lines The Electron Volt, a Unit of Energy Electric Potential Due to Point Charges Capacitance Dielectrics Storage of Electric Energy Cathode Ray Tube: TV and Computer Monitors, Oscilloscope 17.1 Electrostatic Potential Energy and The electrostatic force is conservative potential energy can be defined Change in electric potential energy is negative of work done by electric force: 17.1 Electrostatic Potential Energy and Electric potential is defined as potential energy per unit charge: (17-2a) (17-1) Unit of electric potential: the volt (V). 1 V = 1 J/C. 1
2 17.1 Electrostatic Potential Energy and Only changes in potential can be measured, allowing free assignment of V = Electrostatic Potential Energy and Analogy between gravitational and electrical potential energy: (17-2b) W ba : work done by moving q from a to b. Table 17-1 Some Typical s (Voltages) Figure 17-4 Example Relation between Electric Potential and Electric Field Work is charge multiplied by potential: 17.2 Relation between Electric Potential and Electric Field Solving for the field, (17-4b) Work is also force multiplied by distance: If the field is not uniform, it can be calculated at multiple points: 2
3 17.3 Equipotential Lines Same concept as isohypses on a topographic map An equipotential is a line or surface over which the potential is constant. Electric field lines are perpendicular to equipotentials. The surface of a conductor is an equipotential Equipotential Lines 17.4 The Electron Volt, a Unit of Energy One electron volt (ev) is the energy gained by an electron moving through a potential difference of one volt Electric Potential Due to Point Charges The electric potential due to a point charge can be derived using calculus. (17-5) 17.5 Electric Potential Due to Point Charges These plots show the potential due to (a) positive and (b) negative charge. 3
4 17.5 Electric Potential Due to Point Charges Using potentials instead of fields can make solving problems much easier potential is a scalar quantity, whereas the field is a vector Cathode Ray Tube: TV and Computer Monitors, Oscilloscope A cathode ray tube contains a wire cathode that, when heated, emits electrons. A voltage source causes the electrons to travel to the anode Cathode Ray Tube: TV and Computer Monitors, Oscilloscope The electrons can be steered using electric or magnetic fields Cathode Ray Tube: TV and Computer Monitors, Oscilloscope Televisions and computer monitors (except for LCD and plasma models) have a large cathode ray tube as their display. Variations in the field steer the electrons on their way to the screen Capacitance A capacitor consists of two conductors that are close but not touching. A capacitor has the ability to store electric charge Capacitance Parallel-plate capacitor connected to battery. (b) is a circuit diagram. 4
5 17.7 Capacitance When a capacitor is connected to a battery, the charge on its plates is proportional to the voltage: (17-7) 17.7 Capacitance The capacitance does not depend on the voltage; it is a function of the geometry and materials of the capacitor. For a parallel-plate capacitor: The quantity C is called the capacitance. Unit of capacitance: the farad (F) 1 F = 1 C/V (17-8) A dielectric is an insulator, and is characterized by a dielectric constant K. Capacitance of a parallel-plate capacitor filled with dielectric: Dielectric strength is the maximum field a dielectric can experience without breaking down. (17-9) The molecules in a dielectric tend to become oriented in a way that reduces the external field. This means that the electric field within the dielectric is less than it would be in air, allowing more charge to be stored for the same potential. 5
6 17.9 Storage of Electric Energy A charged capacitor stores electric energy; the energy stored is equal to the work done to charge the capacitor. W = V Q = CV V 17.9 Storage of Electric Energy The energy density, defined as the energy per unit volume, is the same no matter the origin of the electric field: (17-11) (17-10) Because Q=CV and for a parallel-plate capacitor A C = ε 0 d 1 2 PE = V ε 0 2 A d The sudden discharge of electric energy can be harmful or fatal. Capacitors can retain their charge indefinitely even when disconnected from a voltage source be careful! 17.9 Storage of Electric Energy Summary of Chapter 17 Electric potential energy: Heart defibrillators use electric discharge to jump-start the heart, and can save lives. Electric potential difference: work done to move charge from one point to another Relationship between potential difference and field: Summary of Chapter 17 Equipotential: line or surface along which potential is the same Electric potential of a point charge: Summary of Chapter 17 Capacitor: nontouching conductors carrying equal and opposite charge Capacitance: Capacitance of a parallel-plate capacitor: 6
7 Summary of Chapter 17 A dielectric is an insulator Dielectric constant gives ratio of total field to external field Energy density in electric field: 7
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