Divergence Theorem
1. What is Divergence Theorem Definition?
Divergence theorem states that, “Surface integral of the normal of vector function P is equal to the volume integral of the divergence of the vector function P over the closed surface.”
2. What is Gauss Divergence Theorem Formula?
Gauss Divergence Theorem Formula is given by,
3. What is Statement of Gauss Divergence Theorem?
Gauss Divergence Theorem statement is, “Surface integral of the vector field P over the closed surface is equal to the volume integral of the divergence of the vector over the closed surface”.
4. What is Formula for Divergence Theorem?
Formula for divergence theorem is,
5. What is Divergence in Vector Calculus?
Divergence in the vector calculus is the operation on vectors that gives us the rate of change in the flux of the vector field in the form of scalar field.
Divergence Theorem
Divergence Theorem is one of the important theorems in Calculus. The divergence theorem relates the surface integral of the vector function to its divergence volume integral over a closed surface.
In this article, we will dive into the depth of the Divergence theorem including the divergence theorem statement, divergence theorem formula, Gauss Divergence theorem statement, Gauss Divergence theorem formula, and Gauss Divergence Theorem proof.
We will also go through some points on Gauss’s Divergence theorem vs Green’s theorem, solve some examples, and answer some FAQs related to the divergence theorem.
Table of Content
- What is Divergence Theorem?
- Divergence Theorem Formula
- Gauss Divergence Theorem
- Proof of Gauss Divergence Theorem
- Gauss’s Divergence Theorem vs. Green’s Theorem
Contact Us