AxiomOfChoice
Feb20-10, 07:30 AM
So if you have an infinite sheet of charge at the location z = b, Poisson's equation reads
\nabla^2 V = \frac{d^2V}{dz^2} = \frac{\sigma}{\epsilon_0} \delta(z-b).
How do you go about solving this guy? My first inclination was to integrate both sides with respect to z, but does the integral of the delta function give you 1 or a Heaviside function? Or is there a better way to do it?
\nabla^2 V = \frac{d^2V}{dz^2} = \frac{\sigma}{\epsilon_0} \delta(z-b).
How do you go about solving this guy? My first inclination was to integrate both sides with respect to z, but does the integral of the delta function give you 1 or a Heaviside function? Or is there a better way to do it?