Homework #1

Due 9/26/00

(1) Cheng Problem 2.5

(2) Cheng Problem 2.7

(3) Cheng Problem 2.9

(4) Cheng Problem 2.20

(5) Cheng Problem 2.24

(6) Cheng Problem 2.26

(7) Cheng Problem 2.32

(8) Cheng Problem 3.5

(9) Cheng Problem 3.6

(10) Cheng Problem 3.10

(11) Cheng Problem 3.11

(12) Cheng Problem 3.13

(13) alpha-particles (helium nuclei) are fired at heavy nuclei whose charge is 50 times that of an electron. What is the closest possible distance of approach of an alpha-particle and a nucleus? You may assume that each heavy nucleus is heavy enough that it does not move. The alpha particles are fired with a velocity of 3,000,000 m/s.

(14) A charge Q is uniformly distributed throughout a sphere of radius a. Calculate the work that must be done to bring a 1 Coulomb charge up to the center of the sphere from infinity.

(15) Three 1nC charges are arranged at the corners of an equilateral triangle of side 1mm. Where in the triangle will an additional 1nC charge be stable? If this charge is displaced by a very small amount from this equilibrium position towards one corner of the triangle what will be its subsequent motion?