Professor Dave Explains
Gauss’s Law for the Electric Field
Maxwell's equations are the simplest way to represent the relationship between the electromagnetic field and it's carrier particle, the photon. Simple does not necessarily mean easy though. Let's dig into what Maxwell's formulas are and...
Professor Dave Explains
The Divergence Theorem
Green's Theorem gave us a way to calculate a line integral around a closed curve. Similarly, we have a way to calculate a surface integral for a closed surface. That's the Divergence Theorem. This is also known as Gauss's Theorem, and...
Khan Academy
Khan Academy: Calculus: 2 D Divergence Theorem
Video showing how to find the closed line integral of the dot product of a vector field and a unit normal vector to figure out how fast particles are exiting the region formed by the closed curve. Green's theorem is applied and the...
Khan Academy
Khan Academy: Calculus: Conceptual Clarification for 2 D Divergence Theorem
Video revisits the 2-D divergence theorem to involve mass density and velocity and find the mass exiting the closed curve. [9:28]
Khan Academy
Khan Academy: 2 D Divergence Theorem: 2 D Divergence Theorem
Using Green's Theorem to establish a two dimensional version of the Divergence Theorem.
Khan Academy
Khan Academy: Conceptual Clarification for 2 D Divergence Theorem
This video revisits the 2-D divergence theorem to involve mass density and velocity and find the mass exiting under the closed curve.
Khan Academy
Khan Academy: Divergence Theorem Proof (Part 3)
This video shows how to evaluate the surface integral.
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Khan Academy: Divergence Theorem (3 D): Divergence Theorem Example 1
Example of calculating the flux across a surface by using the Divergence Theorem.
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Khan Academy: Divergence Theorem Proof: Divergence Theorem Proof (Part 5)
This is part five of a series of video about the Divergence Theorem.
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Khan Academy: Why We Got Zero Flux in Divergence Theorem Example 1
This video explains why we get zero, positive and negative when using divergency.
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Khan Academy: Divergence Theorem Proof: Divergence Theorem Proof (Part 4)
This is part four of the series of videos about the Divergence Theorem.
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Khan Academy: Divergence Theorem Proof: Divergence Theorem Proof (Part 2)
This is part two of the series of videos about the Divergency Theorem.
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Khan Academy: Types of Regions in Three Dimensions
Students watch a video tutorial to learn about the divergence theorem.
Khan Academy
Khan Academy: Divergence Theorem Proof: Divergence Theorem Proof (Part 1)
This is part one of a series of videos about the Divergency Theorm. This one is about setting up the proof for the divergence theorem.
Khan Academy
Khan Academy: Divergence Theorem (3 D): 3 D Divergence Theorem Intuition
Intuition behind the Divergence Theorem in three dimensions.