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Consider the electrical forces that acts on a point charge q that is positioned a small distance d outside the surface of a big homogeneously charged sphere with total charge Q and radius r » d. Since there are many charges everywhere on the sphere, the probe charge will feel many different forces from all those charges, each of these forces will push the probe charge in different directions. They need to be summed in order to find the total force on the probe charge. Think about the statement “The force on the probe charge is the same as the one that would be there if all the charge on the big sphere was concentrated in one point at the center of the sphere". Is this statement true or false? Justify your answer, explain your reasoning, and derive an algebraic expression for the force between the charged sphere and the point charge.

Consider the electrical forces that acts on a point charge q that is positioned a small distance d outside the surface of a big homogeneously charged sphere with total charge Q and radius r » d. Since there are many charges everywhere on the sphere, the probe charge will feel many different forces from all those charges, each of these forces will push the probe charge in different directions. They need to be summed in order to find the total force on the probe charge. Think about the statement “The force on the probe charge is the same as the one that would be there if all the charge on the big sphere was concentrated in one point at the center of the sphere". Is this statement true or false? Justify your answer, explain your reasoning, and derive an algebraic expression for the force between the charged sphere and the point charge.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider the electrical forces that acts on a point charge q that is positioned a small distance d outside the surface of a big homogeneously charged sphere with total charge Q and radius r » d. Since there are many charges everywhere on the sphere, the probe charge will feel many different forces from all those charges, each of these forces will push the probe charge in different directions. They need to be summed in order to find the total force on the probe charge. Think about the statement “The force on the probe charge is the same as the one that would be there if all the charge on the big sphere was concentrated in one point at the center of the sphere". Is this statement true or false? Justify your answer, explain your reasoning, and derive an algebraic expression for the force between the charged sphere and the point charge.
Transcribed Image Text:Consider the electrical forces that acts on a point charge q that is positioned a small distance d outside the surface of a big homogeneously charged sphere with total charge Q and radius r » d. Since there are many charges everywhere on the sphere, the probe charge will feel many different forces from all those charges, each of these forces will push the probe charge in different directions. They need to be summed in order to find the total force on the probe charge. Think about the statement “The force on the probe charge is the same as the one that would be there if all the charge on the big sphere was concentrated in one point at the center of the sphere". Is this statement true or false? Justify your answer, explain your reasoning, and derive an algebraic expression for the force between the charged sphere and the point charge.
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