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.
###### This is an original problem.

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

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