- #1
Helmholtz
- 19
- 0
Suppose you are given an incompressible material with a constant charge density. What shape would create the largest electric field at a given point in space? These seems like a calculus of variation problem, but I am wondering if there might be any clever trick.
$$\vec E = \frac{\rho}{4 \pi \epsilon_0} \iiint \frac{\hat r}{r^2}dx' dy' dz'$$
$$\vec E = \frac{\rho}{4 \pi \epsilon_0} \iiint \frac{\hat r}{r^2}dx' dy' dz'$$