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Question regarding potential formulas
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[QUOTE="Carl140, post: 2186116, member: 154103"] I know that the electric potential for a continuous distributions of charge can be calculated using the following formula: Integral [ p(y) grad( 1/(|x-y)) d A_y ] Where grad represents the gradient of the vector function |x-y| and A_y is a area length element and p(y) represents the charge density. I know this result is valid for 3 dimensions. I need the result for 2 dimensions, I remember the answer involves an expression like grad( log(|x-y|)) where log represents the natural logarithm but I can't find it anyhwere. Anyone knows where I can find it or how to derive it? I'm pretty sure it involves a logarithm. I've searched in Jackson and Griffiths but couldn't find it. Thanks in advance [/QUOTE]
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Question regarding potential formulas
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