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## Main Question or Discussion Point

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

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