I have to determine the capacitance of 2 conducting plate (fringe fields are ignored) with a certain area (5m^2 here) with a gap separating them (4mm here). The second plate is inclined at an angle of 45 degrees. The dielectric between the plates has Epsilon_r = 1.5
Now I have found a solution online by applying the boundary problem, and the result is 444pF. However, in my major we don't cover differential equations so we have to solve this problem using the "Gauss' method" by assuming one plate has a charge Q while the other has a charge -Q then getting the electric field and the voltage. From there we can get the capacitance by C = Q/V
Now, if we ignore the fringe field the electric field would only by in the direction of the angle Phi (assuming cylindrical coordinates are used).
However that doesn't achieve the final results after getting the voltage. What's wrong here? What's the correct procedure to solve this problem?