- #1
Apple96
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Homework Statement
The Potential V(r) is given: A*e^(-lambda*r)/r, A and lambda are constants
From this potential, I have to calculate: E(r), Rho(r) -- charge density, and Q -- total charge.
Homework Equations
The Attempt at a Solution
I know that E(r) is simply minus gradient of V(r), which is lambda*A*e^(-lambda*r)/r + A*e^(-lambda*r)/r^2. And, the rho will be equal to divergence of E times emissivity constant, according to the Gauss' Law and Divergence theorem. However, I'm having trouble calculating the divergence of E(r). Apparently, I have to use the Dirac Delta Function, but I'm simply lost from here. Please help me out.
Thank you,