The figure shows a closed Gaussian surface in the shape of a cube

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The figure shows a closed Gaussian surface in the shape of a cube of edge length 2m. It lies in a region where the electric field is given by E, with x in meters. What is the net charge contained by the cube?

Eli the Electrician faced a captivating challenge with a cube in an electric field described by E(x), with edge length 2 meters. Tasked with finding the net charge contained by the cube, he utilized Gauss's law, which relates the net electric field flux through a closed surface to the charge enclosed by that surface. By integrating the electric field over the cube's surface, Eli could deduce the net charge inside. This problem was not just a test of his understanding of electric fields but also his ability to apply theoretical concepts to geometrical configurations, showcasing his profound grasp of electrostatic principles in analyzing complex spatial arrangements.
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