w13_solution

# Note that point p is not at the center of the

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Unformatted text preview: A) B) The cavity destroys the planar symmetry. To recover symmetry imagine there are two charge distributions. 1) a positively charged plane without a cavity and 2) a negatively charged sphere. Find E for each separately and add them together. C) D) E) Version 1 Page 12 19. Two charged particles of identical mass, m, are fired straight at each other from a great distance. The particles have identical speed v, but one particle has charge Q and the other has charge 3Q. How close will they come to each other, i.e. what is their minimum separation? Here, k is the Coulomb constant. A) 5kQ 2 Total momentum of this system is zero, so the particles 2mv 2 will both be momentarily stationary when they are at B) 3kQ closest approach. 2 5mv C) kQ 2mv D) 3kQ 2 17 mv 2 E) 3kQ 2 mv 2 20. How much charge is contained within a cubical volume 2 meters on a side if the electric ˆ ˆ field is given (in N/C) by E ( x, y, z) 2 xi 1.5 ˆ 6k . The cube is located with one j corner at the origin and with edges along the +x, +y, and +z directions. (2,2,2) Y (0,0,0) . Z X A) B) C) D) E) 0C 8.5 x 10-10 C 1.4 x 10-10 C 5.1 x 10-11 C 2.1 x 10-9 C Version 1 Page 13 The y and z components of the electric field are constant and thus create zero flux as they go in one side and out the other. Only the x component will create a net flux. Answer Key 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. B B C E C B D B E A A A A C B C C C E C Version 1 Page 14...
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