concentric conducting spheres, one of radius a and the other of radius c (c > a). In addition, between the two conductors there is a spherical shell of dielectric material (relative permittivity/relative dielectric constant ) with inner radius b (c > b > a) and outer radius c. The charge on the inner conductor is +Q. The charge on the outer conductor is -Q. (a) Make a sketch of the
A spherical capacitor is composed of two concentric conducting spheres, one of radius a and the other of radius c (c > a). In addition, between the two conductors there is a spherical shell of dielectric material (relative permittivity/relative dielectric constant ) with inner radius b (c > b > a) and outer radius c. The charge on the inner conductor is +Q. The charge on the outer conductor is -Q.
(a) Make a sketch of the situation, indicating the relevant dimensions.
(b) Determine the magnitude of the electric field E at radius r for a < r < b.
(c) Determine the magnitude of the electric field E at radius r for b < r < c.
(d) What is the (induced) surface charge density on the inner surface of the dielectric.
(e) Sketch the radial component of the electric field versus r .
(f) Sketch the electrostatic potential versus r .
(g)Calculate the potential difference between the conductor at r = a and that at r = c.
(h) What is the capacitance of this capacitor?
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