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Introductory Physics Homework Help
Field in the region of the image charge
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[QUOTE="ehild, post: 4809675, member: 481"] You can not make an infinite plate. If you have a big but finite one, the plate is usually said connected to the ground (earthed). There is no problem then, the side facing the charge q has a total induced charge -q, coming from the ground, and no charge is present on the other side: the electric field is zero for x<0. In case the plate is not earthed, the induced charge comes from the metal, so a total of opposite charge, q, appears on the other side. As the field is zero inside the plate, the charges on the opposite surfaces do not feel each other. The charge distribution on the opposite face is homogeneous and the magnitude of the electric field is σ/ε[SUB]0[/SUB]. If the potential is zero at the plate, it will blow up at infinity. But: At very far away, the size of the plate is small with respect to the distance from it. The edge effects start to dominate the field, and the electric field is not homogeneous at x<0 any more. There is also the possible argument that an infinite plate extends to infinity so it is connected to infinity, as if it was earthed. It has the same potential as the infinity opposite to it. So there is no electric field in between. Or it gains the -q charge from infinity. But it is the best if you say that the plate is grounded. ehild [/QUOTE]
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Field in the region of the image charge
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