Ph1b Analytic Quiz 1 Solution
Chefung Chan (cchan@caltech.edu), Winter 2008
Problem 1 (10 points)
A rocket ship of length L (as measured in its own rest frame) moves with velocity v along the + direction as observed in the laboratory frame. At time t = t
Ph1b Analytic Quiz 4 Solution
Chefung Chan, Winter 2008
Problem 1 (10 points total)
Solution: We know E = dV , therefore we have, dx 24 13 ab 13 24 EII = b 24 13 EIII = ab EI = 1
The diagram shows a cross-sectional view of 4 identical conducting plates
Ph1a Final Exam Solution
Chefung Chan, Fall 2007
Problem 1: Stay and Sway (10 points)
(a) (3 points) Notice the diagram uses capital M while the question uses m. Here uses m for the whole question. By conservation of momentum: m1 (0) m2 v x = (m1 + m2 )v
Ph1b (analytic track): Solution to Homework 7
Chefung Chan, Winter 2008
Problem 3-3 ( 5 points )
Using Eqs.8 and 9, p.100 Purcell, we determine R so that half of Q, the induced charge on the plane, is contained within the circle of radius R: Q = 2 =
0 R
Ph1b Analytic Quiz 3 Solution
Chefung Chan, Winter 2008
Problem 1 (6 points total)
A spherically symmetric charge distribution is given by (r ) = 0 ; 0 < r < a K = ; a<r<b r =0; r>b where K is a constant. At the center, r = 0, there is a point charge q .
Ph1b (analytic track): Solution to Homework 8
Chefung Chan, Winter 2008
Problem 4-2 ( 5 points ) Each electron makes 3 108 m/s = 1.25 106 round trips per second. 240 m The charge passing any point, per second, is I = 1.25 106 1011 4.8 1010 = 6 107 esu/s =
Ph1b (analytic track): Solution to Homework 5
Chefung Chan, Winter 2008
Problem 1-16 (5 points) As far as electrostatics is concerned, we can think of the given conguration as being equivalent to that made by superposing two sources: the original uncarved
Ph1b (analytic track): Solution to Homework 3
Chefung Chan (cchan@caltech.edu), Winter 2008
Problem 7-5 (a) (2.5 points) Recall that proper time is related to lab time (see sec. 5.8) by: d = Then, it is straightforward to see that m dt dx dt = mv + m d d
Ph1b (analytic track): Solution to Homework 4
Chefung Chan (cchan@caltech.edu), Winter 2008
Problem 8-14 (a) (1 point) In the center-of-mass frame, the system has zero total momentum. Since producing one photon would give a non-zero momentum, there must b