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Unformatted text preview: outside sphere inside sphere Alternatively: Tensor Notation Lecture Notes Page 2 inside sphere spherical coordinates with radius coordinate r and radial unit vector surfaces: "bowl" "disc" = bowl + disc By symmetry: total force acts along zdirection with component bowl +disc Alternative way of calculation:enlarge the area of integration by making the diameter D of bowl and D larger than the radius R of the sphere! ==> value of force on the larger volume is the same as over the old volume as the difference in volume does not contain any charges! ○ Integral over bowl goes to zero, as elements of Maxwell tensor scale as 1/D^4 ○ Integral over disc becomes integral over whole xyPlanetake the limit of D to Infinity: Lecture Notes Page 3...
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This note was uploaded on 07/28/2009 for the course PHYS 441B taught by Professor Norbertlutkenhaus during the Winter '09 term at Waterloo.
 Winter '09
 NorbertLutkenhaus
 Momentum

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