Question

Derive your results for credit… this means algebraic… graphical solutions are not acceptable for this problem. A charge Q is placed at the origin of a standard x-y coordinate system. A charge q is placed somewhere on the line ? = ? where ? is some number. Leave all answers for parts a.,b. in terms of parameters of the problem (?, ?, ?) and constants.

(a) Derive for what value(s) of ? that the magnitude of the y-component of force on the charge q is maximized.

(b) Derive for what value(s) of ? that the magnitude of the x-component of force on the charge q is maximized.

(c)A charged particle with total charge ? is split into two charges, ?1, ?2. In order to maximize the force that ?1 exerts on ?2 when they are separated by some distance, what is the value of charge for ?1? Leave your answer in terms of ?.

Answer 1

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