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Solved: A solid conducting sphere with radius R that
Chapter 22, Problem 45P(choose chapter or problem)
Problem 45P
A solid conducting sphere with radius R that carries positive charge Q is concentric with a very thin insulating shell of radius 2R that also carries charge Q. The charge Q is distributed uniformly over the insulating shell. (a) Find the electric field (magnitude and direction) in each of the regions 0 < r < R, R < r < 2R, and r > 2R. (b) Graph the electric-field magnitude as a function of r.
Questions & Answers
QUESTION:
Problem 45P
A solid conducting sphere with radius R that carries positive charge Q is concentric with a very thin insulating shell of radius 2R that also carries charge Q. The charge Q is distributed uniformly over the insulating shell. (a) Find the electric field (magnitude and direction) in each of the regions 0 < r < R, R < r < 2R, and r > 2R. (b) Graph the electric-field magnitude as a function of r.
ANSWER:
Solution 45P
Step 1 of 4:
Given solid conducting sphere of radius R which carries a charge Q and has a concentric very thin insulating shell of radius 2R that also carries a charge Q uniformly distributed over insulating shell as shown in the figure below.
Here we need to calculate the in part(a) the electric field magnitude and direction in terms of r from the center in different regions using Gauss’s law, whereas in part(b) we need to plot the graph of electric field as a function of r using results of part(a).