A solid insulating sphere of radius 10.00 cm carries a net charge of 5.0 ?C dist

Question

A solid insulating sphere of radius 10.00 cm carries a net charge of 5.0 ?C distributed uniformly throughout its volume. Begin by using Gauss' Law to find the electric field strength (as a function of radius) both inside and outside the sphere. (a) Find the absolute value of the potential difference from the sphere's surface to its center. (b) Find the absolute value of the potential difference from the sphere's surface to infinity. Now assume that the potential at the center of the sphere is zero, and find symbolic expressions for the potential at all other points of space, then answer the following questions. Assuming the the potential is zero at the center of the sphere, what is the electric potential at the following distances from that central location? (c) at 2.50 cm (d) at 7.50 cm (e) at 12.50 cm Finally, find the potential at the same three locations, but in this case assuming that the potential is zero at infinity. For this case, it is advisable to begin by finding symbolic expressions for the potential at all locations in space, assuming that the potential is zero at infinity. (d) at 2.50 cm (e) at 7.50 cm (f) at 12.50 cm

Explanation / Answer

(a) Find the absolute value of the potential difference from the sphere's surface to its center.
(b) Find the absolute value of the potential difference from the sphere's surface to infinity.

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