7. Calculate the work that must be done on charges to bring them from infinity to charge a spherical shell of radius R to a total charge Q. 8. How many electrons should be removed from an initially uncharged spherical conductor of radius 0.300 m to produce a potential of 7.5 kV at the surface? The charge of the electron is 1.6 x 10-19 C.
7. Calculate the work that must be done on charges to bring them from infinity to charge a spherical shell of radius R to a total charge Q. 8. How many electrons should be removed from an initially uncharged spherical conductor of radius 0.300 m to produce a potential of 7.5 kV at the surface? The charge of the electron is 1.6 x 10-19 C.
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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Step 1
Given data:
The work done on the charge is:
The radius of the spherical shell is:
The total charge is:
The Coulomb constant is:
(7)The work done on the charge Q is given as,
......(1)
The potential of the sphere of dQ charge having radius R is,
Put this value of dV in the equation (1) and solve,
When we integrate dQ from limit 0 to Q then we get,
Thus, this is the work that must be done on the charges.
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