Electrostatic Forces on Charged Spheres: Calculations and Comparisons

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In summary, the conversation discusses the calculation of the total force exerted by the electrostatic field on a charge in a solid sphere of radius R containing a total charge Q. The force is found using Gauss' law and can be expressed in terms of Q and R. The conversation also considers the repulsive force between two spherical volumes of radius R=1m, each containing 10kg of electrons, held fixed and separated by a distance of 3000km. The magnitude of this force is compared to the gravitational attractive force between the two masses. Finally, the conversation explores the initial acceleration that would be experienced by the two 10kg masses if the forces holding them at a distance of 3000km were to vanish.
  • #1
maxx
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HELP HELP HELP! spheres!

Consider a solid sphere of radius R containing a total charge Q which is uniformly distributed throughout the volume with a volume charge density rho.

a) find the total force exerted by the electrostatic field on the charge in the 'northern hemisphere'. express your answer in terms of the total charge Q and the radius R of the sphere

b) evaluate your answer to part a) using R=1m containing 10kg of electrons

c) find the repulsive force between two sperical volumes of radius R=1m, each containing 10kg of electrons held fixed and separated by a distance of 3000km

d) by what factor does the magnitude of the repulsive electro. force, found in part c) exceed the gravitational attractive force of the two masses

e) if the forces holding the two spherical volumes of electrons, fixed at a distance of 3000km, were to vanish, find the initial acceleration that would be experienced by the two 10kg masses. express your answer of units of g-forces of 9.81m per second squared. :smile:
 
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  • #2
Please show us your work, up to the point where you get stuck, and we'll help you. We will not simply do your homework for you.

- Warren
 
  • #3
a) E(r)=1/4Pi(epsilon)*Q/R^2 r^

i don't know how to get the force after the electric field..i used gauss law
 
  • #4
i also thought about using tensor analysis but i have to use a lower level approach instead..integrating the maxwell tensor is fine..but i can't use it here..
 

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"HELP HELP HELP spheres" are used in a variety of ways, depending on the specific research being done. They may be used in computer simulations, as visual aids for explaining complex concepts, or as models for testing theories.

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