Advanced E&M Physics questions

Question

A sphere with radius R centered at the origin is made out of a linear dielectric material, with electric susceptibility Xe = 2, and has a uniform (free) surface charge density, of, on its surface.

a) Determine the electric field both inside and outside the sphere.

b) Taking the electric potential to be zero at infinity, determine the electric potential both inside and outside the sphere.

c) If instead, the (free) surface charge density was of (0) = 0o cos 0, determine the electric potential both inside and outside the sphere.

d) Determine the electric field both inside and outside the sphere for the situation in part c).

e) What are the bound charge densities, op and Pb, for the situation in part c)? Is Qbound = 0?

Answer 1

Use formulae for electric field inside and outside a non conducting sphere Use 2 € 0 as permitivity as dielectric constant is 2

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