PHY 2049: Physics II

1. PHY 2049: Physics II • Hopefully all homework problems have been solved. Please see me immediately after the class if there is still an issue.

2. PHY 2049: Physics II • About bicycle riding: If some one shows you a trick, or you read about it in a brochure/book, it means that, • It is possible to do that trick • The person who showed you, can do the trick. It does not mean that you can do the trick. • Try it a lot of times and you can too.

3. A uniform electric field, with a magnitude of 600 N/C, is directed parallel to the positive x-axis. If the potential at x = 3.0 m is 1 000 V, what is the potential at x = 1.0 m? a. 400 V b. 1 600 V c. 2 200 V d. 2 500 V PHY 2049: Physics II What have we learned • Coulomb’s law, electric field, Gauss’ theorem and electric potential. • Energy conservation applies. U F V E

4. HITT • A uniform electric field, with a magnitude of 600 N/C, is directed parallel to the positive x-axis. If the potential at x = 3.0 m is 1000 V, what is the potential at x = 1.0 m? a. 400 V b. 1 600 V c. 2 200 V d. 2 500 V

5. PHY 2049: Physics II What is the potential at the center point (in units of kq/d) ? a) -7 (b) -5 (c) -7 (d) -7

6. PHY 2049: Physics II Calculate the Electric Field at P Calculate the el. potential at P

7. PHY 2049: Physics II • Point charge • Distribution of charges • Line charge at an edge • Disc on an axis through the center

8. PHY 2049: Class Quiz If 500 J of work are required to carry a charged particle between two points with a potential difference of 20V, the magnitude of the charge on the particle is: A. 0.040C B. 12.5C C. 20C D. cannot be computed unless the path is given E. none of these

9. Some old business: What is the electric field of a shell of a uniform spherical charge distribution? What is the potential for each of the above?

10. PHY 2049: Physics II • Some old business The potential of a uniform spherical charge. • Calculate electric field, integrate it to get the potential E r R V V

11. Two particles with charges Q and -Q are fixed at the vertices of an equilateral triangle with sides of length a. The work required to move a particle with charge q from the other vertex to the center of the line joining the fixed particles is: A. 0 B. kQq/a C. kQq/a2 D. 2kQq/a E. 1.4kQq/a

12. PHY 2049: Physics II • a= 39 cm • q1 = 3.4pC • q2 = 6 pC • E at the center? • What is the potential at the center?

13. PHY 2049: Physics II • Capacitors: A device to hold charge. • It is held by Coulomb force between the charges. +q and –q on two separate places. • V : potential difference: q= CV • C: capacitance units farad.

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15. PHY 2049: Physics II • Tutoring Center is open in room NPB 1215, M-F 12:00AM -4:00PM. It is free. • Hopefully all homework problems have been solved. Please see me immediately after the class if there is still an issue. • Exam I is on Friday May 30, 2008. It will be here in class during class time.

16. PHY 2049: Physics II An outline • Capacitors, plate, coaxial, spherical.. • Energy, Dielectric strength, Dielectric constant. • Netweorks: Parallel and Series configuration.

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18. Potential near a sheet charge

19. Potential near a sheet charge

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23. PHY 2049: Physics II • What is the capacitance of various familiar balls. C = 4πεoR = 10-10 R(m) F • Basketball-it is an insulator • Van de Graff top • Earth (radius 6.4 X 106 m) • CE = 0.71 mF

24. PHY 2049: Physics II • Energy stored in a capacitor U = ½ CV2 = Q2/2C = ½ QV • Dielectric Strength (oops I burned it/broke it) • Capacitor Enhancement by inserting a dielectric: • Replace εo by κεo

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28. PHY 2049: Physics II • Charging and discharging of capacitors. • http://edugen.wiley.com/edugen/instructor/main.uni

29. PHY 2049: Physics II 25.20

30. PHY 2049: Physics II Switch closed on left, capacitor C1 is being charged We have c2 = c3 = 20 μF in parallel. The equivalent capacitor is then Ceq = 40 μF. When the switch is thrown to right, the battery is disconnected, the charge is shared between the capacitors C1 and Ceq = 40. What is the charge on old C2 and C3? Is your answer 40 μC? What is your answer if C2 = 10 μF and C3 = 30 μF?

31. PHY 2049: Physics II • All about capacitors • Capacitance units Farad • C = 4 π κεo R • Energy stored dielectrics and strength • Parallel and series elements in a network

32. PHY 2049: Physics II