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Vector-fields are vector valued functions which define a vector at each point in space. Examples of the vector field include the electric field and the velocity of a fluid.

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Understanding Gauss' Law with Spherical Symmetry

I've been working on a problem involving the electric field inside a hollow sphere with known inner/outer radii and a volume-charge density $\rho=\frac{k}{r^{2}}$. I start with Gauss' Law as normal: $ …
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