Curl of a Vector Field
The curl of a vector field is another vector field. To find the curl, we perform the vector product of the del operator applied to the vector field . Mathematically, it is represented as:
This can also be expressed as,
In simpler terms, the curl of a vector field indicates how the field rotates or circulates at each point in space.
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
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