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Here's a classic problem. Consider two metal spheres of different radiuses Ra and Ra, separated by a great distance. Sphere A has a charge Q and Sphere B is initially uncharged. Now suppose that we run a conducting wire from one to the other, then disconnect and discard the wire. A) Determine the amount of charge on each sphere in terms of the quantities given in the problem. B) Determine the magnitude of the electric field at the surface of each in terms of the quantities given in the problem. HINTS: There may be some information that was not discussed in class. First, the electric field at the surface of a metal is perpendicular to the surface of the metal. If it were not, there would be a component of E along the surface that would force charges to redistribute themselves until that component goes to zero. Second, once charges have stopped moving from A to B, what can you say about their surfaces? Lastly, you may want to consider Gauss's law.

Here's a classic problem. Consider two metal spheres of different radiuses Ra and Ra, separated by a great distance. Sphere A has a charge Q and Sphere B is initially uncharged. Now suppose that we run a conducting wire from one to the other, then disconnect and discard the wire. A) Determine the amount of charge on each sphere in terms of the quantities given in the problem. B) Determine the magnitude of the electric field at the surface of each in terms of the quantities given in the problem. HINTS: There may be some information that was not discussed in class. First, the electric field at the surface of a metal is perpendicular to the surface of the metal. If it were not, there would be a component of E along the surface that would force charges to redistribute themselves until that component goes to zero. Second, once charges have stopped moving from A to B, what can you say about their surfaces? Lastly, you may want to consider Gauss's law.

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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2-3) Here's a classic problem. Consider two metal spheres of different radiuses RA and Rs, separated by a great distance. Sphere A has a charge Q and Sphere B is initially uncharged. Now suppose that we run a conducting wire from one to the other, then disconnect and discard the wire. A) Determine the amount of charge on each sphere in terms of the quantities given in the problem. B) Determine the magnitude of the electric field at the surface of each in terms of the quantities given in the problem. HINTS: There may be some information that was not discussed in class. First, the electric field at the surface of a metal is perpendicular to the surface of the metal. If it were not, there would be a component of E along the surface that would force charges to redistribute themselves until that component goes to zero. Second, once charges have stopped moving from A to B, what can you say about their surfaces? Lastly, you may want to consider Gauss's law.
Transcribed Image Text:2-3) Here's a classic problem. Consider two metal spheres of different radiuses RA and Rs, separated by a great distance. Sphere A has a charge Q and Sphere B is initially uncharged. Now suppose that we run a conducting wire from one to the other, then disconnect and discard the wire. A) Determine the amount of charge on each sphere in terms of the quantities given in the problem. B) Determine the magnitude of the electric field at the surface of each in terms of the quantities given in the problem. HINTS: There may be some information that was not discussed in class. First, the electric field at the surface of a metal is perpendicular to the surface of the metal. If it were not, there would be a component of E along the surface that would force charges to redistribute themselves until that component goes to zero. Second, once charges have stopped moving from A to B, what can you say about their surfaces? Lastly, you may want to consider Gauss's law.
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