- #1
Thomas2054
- 17
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This is not a 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]2V = -[itex]\frac{ρ}{ε}[/itex]?
I cannot find enough in my various calculus books to figure this out. A website reference would be fine.
Thanks.
Thomas
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]2V = -[itex]\frac{ρ}{ε}[/itex]?
I cannot find enough in my various calculus books to figure this out. A website reference would be fine.
Thanks.
Thomas