An electron is in a stable circular orbit of radius R around a grounded hollow conducting sphere of radius r. a) Find the location of the image charge which can replace the sphere without altering the potential outside the sphere. b) Find the strength of this image charge. c) Derive the expression that will determine the speed of the electron.

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An electron is in a stable circular orbit of radius R around a grounded hollow conducting sphere of radius r.
a) Find the location of the image charge which can replace the sphere without altering the potential outside the
sphere.
b) Find the strength of this image charge.
c) Derive the expression that will determine the speed of the electron.  

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