Equations of Divergence and Curl
Curl Equation: The curl of a vector field is given by:
Divergence Equation: The divergence of a vector field is calculated as:
Divergence of Curl: The divergence of the curl of a vector field is always zero, i.e.
Curl of a Gradient: The curl of the gradient of a scalar function (f) is the zero vector, i.e.
These equations play a crucial role in vector calculus, describing the rotation and flow properties of vector fields, as well as the relationships between divergence and curl.
Read More,
Divergence and Curl
Divergence and Curl are important concepts of Mathematics applied to vector fields. Divergence describes how a field behaves concerning or moving away from a point, while curl measures the rotational aspect of the field around a specific point. Divergence operators give scalar results whereas Curl operators give vector results.
In this article, we will learn about the divergence definition, curl definition, divergence of the vector field, curl of a vector field, and others in detail.
Table of Content
- What is Divergence?
- What is Curl?
- Divergence of Vector Field
- Curl of a Vector Field
- Divergence of Curl
- Equations of Divergence and Curl
Contact Us