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© 2010 Pearson Education, Inc. PowerPoint ® Lectures for College Physics: A Strategic Approach, Second Edition Chapter 21 Electric Potential
© 2010 Pearson Education, Inc. Slide Electric Potential
© 2010 Pearson Education, Inc. Slide 21-3
© 2010 Pearson Education, Inc. Slide 21-4
© 2010 Pearson Education, Inc. Slide 21-5
© 2010 Pearson Education, Inc. Example Problem Is the change ∆U of the particle positive, negative, or zero as it moves from i to f? Slide 21-14
© 2010 Pearson Education, Inc. Electric Potential Energy Slide 21-15
© 2010 Pearson Education, Inc. Electric Potential Slide 21-16
© 2010 Pearson Education, Inc. Conceptual Example Problem Rank in order, from largest to smallest, the electric potentials at the numbered points. Slide 21-17
© 2010 Pearson Education, Inc. Charged Particle Moving Through a Potential Difference Slide 21-18
© 2010 Pearson Education, Inc. Slide 21-19
© 2010 Pearson Education, Inc. Example Problem A proton has a speed of 3.5 x 10 5 m/s at a point where the electrical potential is 600 V. It moves through a point where the electric potential is 1000 V. What is its speed at this second point? Slide 21-20
© 2010 Pearson Education, Inc. A Topographic Map Slide 21-21
© 2010 Pearson Education, Inc. Graphical Representations of Electric Potential Slide 21-22
© 2010 Pearson Education, Inc. Example Problem A proton is released from rest at point a. It then travels past point b. What is its speed at point b? Slide 21-23
© 2010 Pearson Education, Inc. Potential of a Parallel-Plate Capacitor Slide 21-24
© 2010 Pearson Education, Inc. The Potential Inside a Parallel-Plate Capacitor Slide 21-25
© 2010 Pearson Education, Inc. Example Problem A parallel-plate capacitor is held at a potential difference of 250 V. A proton is fired toward a small hole in the negative plate with a speed of 3.0 x 10 5 m/s. What is its speed when it emerges through the hole in the positive plate? (Hint: The electric potential outside of a parallel-plate capacitor is zero). Slide 21-26
© 2010 Pearson Education, Inc. Electric Potential of a Point Charge Slide 21-27
© 2010 Pearson Education, Inc. Electric Potential: Charged Sphere Outside of a sphere of charge Q the potential has the same form as for a point charge Q: If the sphere has radius R and the potential at its surface is V 0, then the potential a distance r from its center can also be written Slide 21-28
© 2010 Pearson Education, Inc. Example Problem A.The potential at points a and b.The potential difference between a and b. B.The potential energy of a proton at a and b. C.The speed at point b of a proton that was moving to the right at point a with a speed of 4.0 x 10 5 m/s. D.The speed at point a of a proton that was moving to the left at point b with a speed of 4.0 x 10 5 m/s. For the situation shown in the figure, find Slide 21-29
© 2010 Pearson Education, Inc. A 2.0-mm-diameter plastic bead is charged to –1.0 nC. A.A proton is fired at the bead from far away with a speed of 1.0 x 10 6 m/s, and it collides head-on. What is the impact speed? B.An electron is fired at the bead from far away. It “reflects,” with a turning point 0.10 mm from the surface of the bead. What was the electron’s initial speed? Example Problem Slide 21-30
© 2010 Pearson Education, Inc. Connecting Potential and Field Slide 21-31
© 2010 Pearson Education, Inc. Potential and Field for Three Important Cases Slide 21-32
© 2010 Pearson Education, Inc. A.What is the potential at point A? At which point, A, B, or C, does the electric field have its largest magnitude? B.Is the magnitude of the electric field at A greater than, equal to, or less than at point D? Example Problem Source charges create the electric potential shown. C.What is the approximate magnitude of the electric field at point C? D.What is the approximate direction of the electric field at point C? Slide 21-33
© 2010 Pearson Education, Inc. A Conductor in Electrostatic Equilibrium Slide 21-34
© 2010 Pearson Education, Inc. What is Q 2 ? Example Problem Slide 21-35
© 2010 Pearson Education, Inc. Capacitance and Capacitors The charge ±Q on each electrode is proportional to the potential difference ∆V C between the electrodes: Slide 21-36
© 2010 Pearson Education, Inc. Charging a Capacitor Slide 21-37
© 2010 Pearson Education, Inc. The Capacitance of a Parallel-Plate Capacitor Slide 21-38
© 2010 Pearson Education, Inc. Dielectrics and Capacitors Slide 21-39
© 2010 Pearson Education, Inc. Dielectric Constant With a dielectric between its plates, the capacitance of a parallel-plate capacitor is increased by a factor of the dielectric constant κ: Slide 21-40
© 2010 Pearson Education, Inc. Summary Slide 21-41
© 2010 Pearson Education, Inc. Summary Slide 21-42
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