Electrostatic force including coulombs law

  • Thread starter th3plan
  • Start date
  • #1
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Homework Statement



Of the charge Q initially on a tiny sphere, a portion q is to be transferred to a second, nearby sphere. Both spheres can be treated a particles. For what value of q/Q>0.5 will the electrostatic force between the two parts have 1/2 of the maximum possible value?



The Attempt at a Solution



ok i drew a picture and i know that sphere 1 is Q-q , and sphere 2 is q, and i plug into equation

F=k(Q-q)q/r^2

i differentiate and get qQ-2q now what i do from here, to get 1/2 maximum possible value

i know to get maximum i set equal to zero, do i set this equal to 1/2? How would i solve it for q/Q ratio if its equal to 1/2?
 

Answers and Replies

  • #2
2,268
7
Q is a constant. just set it equal to 1. same with r.
 

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