317 (F96) Exam #4

317 (F96) Exam #4 -...

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Unformatted text preview: 7########,###################{###############{################## ##q## ##q##j####j####j####j# ##mU####mU####mU#(##m}####m####m####m#P##n##x##k##R##n}# ##n####s}#*##s###j########q"####n#m##r%####s %#X##{#=##s}####s}####s}####s}####s}####s}####Name 1. (GRE problem) [20 points total] A point charge -q coulombs is placed at a distance d from a large grounded conducting plane. The surface charge density on the plane a distance D from the point charge is A. # B. # C. # D. # E. # Use cleverness to choose the correct response in roughly 1.7 minutes, and then use the method of images to find s everywhere on the plane. Show that your result reduces to the answer you chose above for points on the plane that are a distance D from the charge. 2. [20 points] Find the potential Vo that a conducting sphere of radius R must be raised to such that a point charge Q located at s > R experiences no net electrical force. [Note: Recall that the image charge needed to cause V = 0 on a sphere of radius R has charge Q = -RQ/s and is located a distance a = R2/s from the center of the sphere.]3. (GRE problem) [10 points] A cube has a constant electric potential V on its surface. If there are no charges inside the cube, the potential at the center of the cube is A. zero B. V/8 C. V/6 D. V/2 E. V Justify your choice.Name Total Points Name Total Points Physics 317 (Fall 1996) Fourth Exam (October 31, 1996) #v###v#####h#############Z#############J###########d##xpr####### ## ### #############"###### ###currentpoint #"###### #,#####Times###### .#####+ #q##(#####4,# ###Symbol#####)##p###)##D#####"#######d30 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 864 div 896 3 -1 roll exch div scale currentpoint translate 64 44 translate 278 261 moveto /fs 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {findfont dup /cf exch def sf} def /ns {cf sf} def 384 /Times-Italic f1 (q) show 28 793 moveto 384 /Times-Roman f1 (4) show 238 793 moveto /f2 {findfont matrix dup 2 .22 put makefont dup /cf exch def sf} def 384 /Symbol f2 (p) show 460 793 moveto 384 /Times-Italic f1 (D) show /thick 0 def /th { dup setlinewidth /thick exch def } def 16 th 0 401 moveto 749 0 rlineto stroke end ##d#*MATH########## #######q###4#p#D#### n ####o#############a#############Q###########d##xpr####### ## ### #############"###### ###currentpoint #"###### #,#####Times###### .#####+###qD####(#####2# (#####2,# ###Symbol#####)##p#####"########W30 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 768 div 960 3 -1 roll exch div scale currentpoint translate 64 49 translate 25 320 moveto /fs 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {findfont dup /cf exch def sf} def /ns {cf sf} def 384 /Times-Italic f1 (qD) show 500 152 moveto 224 /Times-Roman f1 (2) show 111 852 moveto 384 ns (2) show 322 852 moveto /f2 {findfont matrix dup 2 .22 put makefont dup /cf exch def sf} def/f2 {findfont matrix dup 2 ....
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317 (F96) Exam #4 -...

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