# Lab 202 - Objective To prove Gausss law for different...

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Objective: To prove Gauss’s law for different surfaces using MATLAB and to verify the value of a closed charge. Theoretical Background: The flux across a certain area is given by the the dot product of the Electric field and the surface: Φ = E Acosθ The general definition of electric flux given by a varying electric field over a differential area is denoted by the equation: Φ = E dA This is in accordance to the equation: E dA = A ε 0 Procedure: First, open MATLAB. Input code shown in Physics 121A Lab Manual and make necessary changes. Run the program and take note of the outputs given. Results: vpa(PIup, 10) ans = 233.9349564 vpa(PIdown,10) ans = 121.2432412 vpa(PIleft,10) ans = 131.9684772 vpa(PIright,10) ans = 204.4187722 vpa(PIfront,10) ans = 180.4038897 vpa(PIback,10) ans =

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144.9798159 vpa(All_PI,10) ans = 1016.949153 vpa(esp0*All_PI,5) ans = 9.0e-9 Discussion/Analysis:

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