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HA 3.2 Electrostatic Field of Rectangle Everywhere in Space [50 points] Find the electrostatic field of a uniformly charged rectangle at any point in space. The rectangle has sides with length a and b, respectively, and constant surface charge density o; additionally, the rectangle is infinitesimally thin. You should solve the problem by writing a code, e.g., in MATLAB or Python. 1. Write the solution to the problem in integral form by means of Coulomb's law and the superposition principle. [10 points] 2. Write the code associated with the integral. Report your code in your solution. [10 points] 3. Check the convergence of your code choosing at least two suitable observation points. [10 points] 4. At a suitable point of your choice, compare your numerical result with the analytical solution for an infinite plane of charge. [10 points] 5. Show a few suitable plots clearly showing the field at the enges of the rectangle. [10 points]