Consider a grounded, conducting, spherical shell of outer radius b and inner radius a. Using the method of images, dicuss the problem of a point charge q inside the shell, i.e. at a distance r
Consider a grounded, conducting, spherical shell of outer radius b and inner radius a. Using the method of images, dicuss the problem of a point charge q inside the shell, i.e. at a distance r
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Transcribed Image Text:Consider a grounded, conducting, spherical shell of outer radius b and inner radius a. Using the method of images, dicuss the problem of
a point charge q inside the shell, i.e. at a distance r<a from the center. Find
a) the potential inside the sphere;
b) the induced surface charge density on the inner surface of the shell at r-a; what is the total induced charge?
c) the magnitude and direction of the force acting on q. Does q get pushed towards the center, or away from the center?
d) Is there any change in the solution if the sphere is kept at a fixed potential po? If the sphere has a fixed total charge Q?
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