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A metal sphere with radius ra is supported on an insulating stand at the center of...

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Physics

A metal sphere with radius ra is supported on an insulatingstand at the center of a hollow, metal, spherical shell with radiusrb. There is charge +q on the inner sphere and charge −q on theouter spherical shell. Take V to be zero when r is infinite.

Calculate the potential V(r) for r

Calculate the potential V(r) forra<r<rb

Calculate the potential V(r) forr>rb

Find the potential of the inner sphere with respect to theouter.

Use the equation Er=−∂V∂rand the result from part (b) to find the electric field at anypoint between the spheres(ra<r<rb).

Use the equation Er=−∂V∂rand the result from part (c) to find the electric field at a pointoutside the larger sphere at a distance r from the center, wherer>

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