Question: A conducting sphere with radius R and charge Q sits at the origin of coordinates. The space outside the sphere above the z = 0

A conducting sphere with radius R and charge Q sits at the origin of coordinates. The space outside the sphere above the z = 0 plane has dielectric constant κ₁. The space outside the sphere below the z = 0 plane has dielectric constant κ₂. Q R K K2

(a) Find the potential everywhere outside the conductor.
(b) Find the distributions of free charge and polarization charge wherever they may be.

Q R K K2

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