Negative charge is distributed uniformly over the surface

Chapter 22, Problem 22.51

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QUESTION:

Negative charge is distributed uniformly over the surface of a thin spherical insulating shell with radius Calculate the force (magnitude and direction) that the shell exerts on a positive point charge located (a) a distance from the center of the shell (outside the shell) and (b) a distance from the center of the shell (inside the shell).

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QUESTION:

Negative charge is distributed uniformly over the surface of a thin spherical insulating shell with radius Calculate the force (magnitude and direction) that the shell exerts on a positive point charge located (a) a distance from the center of the shell (outside the shell) and (b) a distance from the center of the shell (inside the shell).

ANSWER:


(a) Outside the shell:
The magnitude of the force exerted by the shell on the point charge is equal to the magnitude of the electric field created by the shell, which is given by

F = kQq/r2

Where k is the Coulomb constant, Q is the total charge on the shell, q is the charge of the test point char

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