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weaver159
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Homework Statement
We have a infinite plate on the yz plane from [itex]x=-d/2[/itex] to [itex]x=d/2[/itex]. The plate has a uniform volume charge distribution [itex]ρ_{0}[/itex]. Parallel to the z axis at [itex]y=y_{0}[/itex] we have a cylindrical hole with a radius [itex]a[/itex]. At the center of the hole (paralle to the z-axis) we have an infinite line distribution [itex]λ_{0}[/itex].
We need to find the field everywhere and the condition that [itex]λ_{0}[/itex], [itex]ρ_{0}[/itex] must satisfy in order to have zero field outside the hole.
Homework Equations
Gauss's law and the boundary contitions for [itex]E,D[/itex]
The Attempt at a Solution
My first though was offcourse the superpossition principal. I found a problem using it:
The field inside the hole doesn't match the field from an infinite line, as it supposed to.