This is(adsbygoogle = window.adsbygoogle || []).push({}); nota homework problem, but a math question of curiosity. At 57 I am way past courses and homework.

If a potential, V, is expressed as a volume integral, how does one apply Poisson's equation to that integral?

If V = k∫_{V'}[itex]\frac{ρ}{R}[/itex]dv' (V on the LHS is voltage and the integral on the RHS is the integral over V', the volume.)

how do I manipulate Poisson's, i.e., [itex]\nabla[/itex]^{2}V = -[itex]\frac{ρ}{ε}[/itex]?

I cannot find enough in my various calculus books to figure this out. A web site reference would be fine.

Thanks.

Thomas

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# Poisson's equation applied to an integral

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