Gauss' law is a very powerful method to determine the electric field due to a distribution of charges. It can, for instance, be used to find the electric field due to an infinite plate. However, it is usually useless whenever there is a non-uniform field, i.e. there is broken symmetry.

One such case is that of a finite rectangular plate. Find the electric field due to a uniformly charged rectangular plate at a point 1 m above its center of mass.

**Details And Assumptions**

- Length = $\sqrt{\dfrac{13}{8}}\text{m}$
- Breadth = 3 m
- Total Charge on plate = $8 \times 10^{-8} \text{C}$
- $k=9 \times 10^9 \frac{\text{Nm}^2}{\text{C}^2}$
- Plate is an Insulator