(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the electric force exerted on a negative point charge –Q located a distance d away from a line segment of charge, extending from –L/2 to +L/2 along the x-axis. The line segment has a non-uniform charge distribution, lambda(x)=lambda_0*x .

2. Relevant equations

F= q1q2/4pi(epsilon_0)r^2

3. The attempt at a solution

Fy=0

Fx= -Q/4*pi*epsilon_0[the integral from 0 to -L/2 of(lambda_0*x/(d+L/2+x)^2) + the integral from 0 to L/2 of(lambda_0*x/(d+L/2-x)^2)]

Notice the -x in the distance in the second integral. This is just my attempt at the question. I have no clue whether it is right or wrong. I feel the need to express the equation into 2 different integrals because you have to show the distance from the origin. Well at least I think so. Any thoughts would be very helpful!

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# Force exerted by a charged rod on a point charge

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