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26 Nov 2019
A solid conducting sphere of radius r1 is surrounded by a concentricconducting spherical shell of inner radius r2 and outer radius r3. A charge Q1 is placed on the inner sphere and acharge Q2 is placed on theouter shell. a. Find an expression for the electric field as a function ofr, the distance to the center of the spheres. b. Find an expression for the electrostatic potential as afunction of r. c. Make a sketch of the field and potential as a function ofr. d. How would your sketches change if both the sphere and theshell were replaced by uniform volume charge densities giving thesame total charge?
A solid conducting sphere of radius r1 is surrounded by a concentricconducting spherical shell of inner radius r2 and outer radius r3. A charge Q1 is placed on the inner sphere and acharge Q2 is placed on theouter shell.
a. Find an expression for the electric field as a function ofr, the distance to the center of the spheres.
b. Find an expression for the electrostatic potential as afunction of r.
c. Make a sketch of the field and potential as a function ofr.
d. How would your sketches change if both the sphere and theshell were replaced by uniform volume charge densities giving thesame total charge?
24 Jun 2023
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