How Do You Verify Electrostatic Force via Direct Integration?

[Midas_Touch]

The problem says

Verify by direct integration that

F= qE = - q^2/(16*pi*epsilon_0*d^2) in the "x unit" direction

is the resultant of the Coloumb force between q and the induced charge described by

sigma_f(y,z) = -qd/(2*pi*(d^2+y^2+z^2)^3/2

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Okay, I am not sure what to integrate here. Do I integrate the surface charge density or the force?

Thank you,
Midas

 

[Bhumble]

F = -dU and -(grad V) = E so maybe your suppose to verify electric potential by integrating qE along x. I'm not sure exactly what they are asking for either...

 

[Integral]

Please note that the OP is nearly 5 yrs old. I would assume this homework problem has long neen resolved.

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