Consider a positive point charge +q, immersed in plasma. Show that the net charge in the Debye shielding cloud exactly cancels the test charge. Assume the ions are fixed and that e*phi <<< kTe.
f(u) = A exp [-(1/2*m*u^2 + q*phi)/k_b*T_e]
u is the x component of velocity
The Attempt at a Solution
Really lost on this one. I think I could make a hand waivey argument with Gauss's Law but I don't see where to go on this one.