Hey everyone. I thought about this problem the other day, but I don't know what theory I need to solve this problem. Given a 2D rectangle with a known, varying resistance, and a known voltage drop across the length, how would one calculate the current density at each point on the surface. By intuition, the current should in general go in the direction of least resistance, but I also think there is probably a mechanism to prevent current from all flowing through the same place. Is this the right thinking? I also would like to be able to numerically calculate this, but how to do this will be much clearer when I have an idea of the theory. Is anyone able to point me in the right direction? Thanks in advance.