Please show all work and specify the correct answer at the bottom. Please do not

Question

Please show all work and specify the correct answer at the bottom. Please do not put down an answer that is not one of the choices, I will thumbs you down. Correct answer will get five stars and thumbs up.

A +3.00 C point charge and -5.00 C point charge are placed along the x-axis at x = 0.000 cm and x = 40.0 cm, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net electric force due to the other two charges?

Explanation / Answer

let p be a point on X-axis where q does not experience any force

Surely in between the q1 = +3 uC and q2 = -5uC ,q will experience some force

So beyond q2 or before q1 we need to keep q to experience Force = 0

Force due to q1 is F1 = k*q1*q/x^2 =

Force due to q2 is F2 = k*q2*q/(x-0.4)^2

F1 = F2

k*q1*q/x^2 = k*q2*q/(x-0.4)^2

q1/x^2 = q2/(x-0.4)^2

3/x^2 = 5/(x-0.4)^2

x = -1.38 m is the correct answer

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