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A solid spherical nonconductor with a radius of 0.25m contains an interior charge density (Q/V) of...

A solid spherical nonconductor with a radius of 0.25m contains an interior charge density (Q/V) of 1.00*10-6 r3 C/m3 where r is the distance from the center of the sphere.

a) Determine an expression for the total charge within a radius r less than or equal to 0.25m

b) Determine an expression for the total charge contained within the nonconducting sphere

c) Using Gauss' Law find an expression for the magnitude of the electric field within the sphere as a function of r (use numerical values for all universal constants)

d) Using Gauss' Law find an expression for the magnitude of the electric field outside the sphere as a function of r (use numerical values for all universal constants)

e) Confirm that the value of E at the surface of the sphere is the same with both formulas.

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