I got it. Thanks for the help. In case anyone else stumbles upon it, here is my solution:
The electric field for an infinite plane is
E = \frac{σ}{2*ε_0}
The generalized electric potential is then
\varphi = -∫\frac{σ}{2*ε_0}dx = - \frac{σ*x}{2*ε_0} (where x is distance from plate)
The charge...
The electric field from the sheet would be E=\frac{σ}{2ε0}. The grounded sheets means that the potential at each plate will be zero.
E = -∇\varphi
\varphi = -∫E dl
0 = -∫E dl (at each plate)
Homework Statement
Two infinite conducting planes are held at zero potential at z=-d and z=d. An infinite sheet with uniform charge per unit area σ is interposed between them at an arbitrary point.
a) Find the charge density induced on each grounded plane and the potential at the position of...