I'm trying to find some sort of simple derivation of these laws in 2d, using the integral expressions of the Maxwell equations. For 2d Coulomb, I found this: Imagine a rod of infinite length along the z-axis, carrying a charge q which is uniformly divided: rho (the charge/volume) = lambda*dz*delta(x)*delta(y) with dq= lambda*dz So, using the electrical Gauss' law, Er being the value of E in radial direction: eps0*Er*2*pi*r*dz = lambda*dz Er= lambda/(eps0*2*pi*r) Er =-dV/dr => V= -lambda/(2*eps0)*ln(r) So, Coulomb's law would be, with pi(r´) being the electrical charge of the surface evaluated in point r´, en ds´ being the surface that is integrated: V(r) = -lambda/(2*eps0)* int ( ln(r-r´) , ds´) ? Does that make any sense? Or is this way off the mark? And for the Biot-Savart law in the same manner, will the vector potential be something analogous to this thing? Thank you, W.