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An insulated spherical shell of inner radius a1 and outer radius a2 has a charge density...

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Physics

An insulated spherical shell of inner radius a1 andouter radius a2 has a charge density ρ=6rC/m4.

(a) (2 pts.) Based on the symmetry of the situation, describethe Gaussian surface (if any) that could be used to find theelectric field inside the spherical shell.

(b) (3 pts.) Starting from the definition of charge enclosed,briefly derive the integral expression for the charge enclosedinside a Gaussian surface within the insulated spherical shell forthe given charge density. Once you have this expression, solve theintegral.

(c) (2 pts.) Derive an expression for the electric field outsidethe spherical shell.

(d) (3 pts.) Briefly show how you would find the electricpotential inside the insulated spherical shell at a radius r fromits center. Start by writing the entire expression in general, thenapplying the specific expressions for this situation. (You do notneed to solve this expression!)

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