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Class: Electromagnetics

Consider a fixed hollow spherical shell with radius R and surface charge +? (sigma). 
A particle with mass m and charge -Q that is initially at rest falls in from infinity. Assume 
that a tiny hole has been cut in the shell to let the charge through. Determine the speed of 
the particle when it reaches the center of the shell. Your answer should be a function of ? (sigma), 
Q, and m.

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