2) You have two charges, each of charge +Q, separated by a distance d. It is fou

Question

2) You have two charges, each of charge +Q, separated by a distance d. It is found that the force on each charge is F. If one replaces one of the charges by a charge of +2Q, what is the resulting force on the +Q charge? What is the resulting force on the +2Q charge? If under the new configuration we double the separation between the+Q and +2Q charges, what is the ratio of the new force to the original force F at the beginning of the problem? 3) A charge of -2C (charge 1) is separated by 2m from a charge of IC (charge 2). Which of the force vectors correctly describe the force on 1 due to 2 and the force on 2 due to 1?

Explanation / Answer

(2) F = k Q Q / d ^2 = k Q^2 / d^2

F' = k (2Q)(Q)/d^2 = 2 k Q^2 / d^2

F' = 2 F ......Ans

magnitude of force will be same from 3rd law,

force on 2Q = 2 F .....Ans

now F" = k (Q)(2Q) / (2d)^2 = k Q^2 / 2d^2 = F/2

ratio = F" / F = 1/2 .....Ans

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