Solution of extracredits nd makeup test

# Solution of extracredits nd makeup test - Dr Gangopadhyaya...

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Dr. Gangopadhyaya Extra Credit 3 Physics 351 May 5, 2006 1. At the surface of the earth the magnetic field is approximately the same as the field from a point dipole at the center of the earth having a dipole moment: mE = mE [i sin eo cos</>o + 3 sin eo sin </>0 + kcoseo )] where mE = 7.79 x 1022Am2, and eo = 1690 and 4>0= 109°. The z-axis is earth's rotation axis and the x-axis passes through the Prime Meridian, on which Greenwich lies; positive </> is ~ towards east. (a) Calculate the magnetic field at a point described by colatitude e and longitude 4>. '1~ ~ C) ~. ~q; to ~ (;; ~\J U ~X '- (jJ L;~ (b) Calculate the magnetic field at Chicago. ~ - ~ -0- ~

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2. A thin disk of radius R carries a surface charge a. It rotates with an angular velocity CJJ about its axis, which will be called z-axis. ~ (a) What is the jj along the z-axis? dI:":" «r '\.»)dV :; ~v- tOT" d'r) \ - 3 dW\\ -= fiwV' ~'4') (~"(2.) == CJw7\" y- ~'t ~ "ft ~ \\l " rr.D7\ \<. S ~"c\'f "=' ('~ \0. . R'" D j; 'r. ~ 06 tMS~ w - p.() Cd i) ~ . R - - 411 ty~-+{2.~)i'r;kP- \ d~ ~:: t-'-o JJ.-1. '=? ~ J. B 47;- It:=r~ 0 -'. 'l. .. "- B~~1\. (). ~ X-o 'I R -. k YI~.3 2 ('ro,,+,-t. .y/-a. ~ ~'1. A r: {<'" (o-c.:) RdR) ~ - _0 -- ~ ~ 0 -- 2.tv;.H~'a. .Yh. 2. ('tol.J;,,~) ""1- ; ~ r ~ i< ~'fe? 1\ t> -. I<- 2- (ro2.-+~'"L)'3/'2.-- if' 2 '1. . '0 +1(. ::- L.L 2 R dR ~ 0\ u. ~ (b)
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## This note was uploaded on 01/28/2010 for the course PHYS 351 taught by Professor Gangopashyaya during the Spring '09 term at Loyola Chicago.

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Solution of extracredits nd makeup test - Dr Gangopadhyaya...

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