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 as particles. For what value of will the electrostatic force between the two spheres be maximized?

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- Jan 15th 2009, 01:34 PMArythCharge Maximization
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 as particles. For what value of will the electrostatic force between the two spheres be maximized?

- Jan 15th 2009, 03:55 PMTheMasterMind
- Jan 15th 2009, 05:07 PMAryth
Your answer is correct. We have to use that to get to the equation for the maximum force. And we were given that answer, we just had to derive it. And your method works perfectly. Thanks for the help.

- Jan 15th 2009, 08:02 PMTheMasterMind
- Jan 19th 2010, 02:16 PMNBrunk
- Jan 25th 2010, 01:16 PMAryth
The reason why is because you are taking the derivative with respect to q, and (qQ - q^2) are the only terms in the equation with q in them, so they cannot "exit" the derivative without being differentiated.