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A spherical capacitor is constructed using a solid sphere of radius a as the inner conductor...

A spherical capacitor is constructed using a solid sphere of radius a as the inner conductor and a thin spherical shell of radius c as the outer conductor. The region in between is partially filled, with a dielectric (constant k) filling the space from b < r < c. Use the method outlined in the book and in class to find an expression for the capacitance of this capacitor. Use careful sketches and explain each step of your work.

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