Consider the infinite rectangular trough (assumed of infinite length in the z direction), where the top, bottom, and left sides are kept at zero potential land the right side separated by small gaps from the trough, is kept at a potential of 1V. You are required to formulate the BVP governing the system.
a) Use analytical solution to write the expression for voltage and the electric field components.
b) Use numerical solution to write the expression for voltage and the electric field components.