How Do You Verify Electrostatic Force via Direct Integration?

  • Thread starter Thread starter Midas_Touch
  • Start date Start date
  • Tags Tags
    Electrostatics
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
2 replies · 2K views
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

-------------

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

Thank you,
Midas
 
Physics news on Phys.org
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...