Practice Questions of Divergence and Curl
Q1. Given the vector field , calculate the divergence of and determine its nature (source, sink, or neither).
Q2. For the vector field , find the curl of and interpret its significance in terms of rotation.
Q3. Consider the vector field . Calculate both the divergence and curl of and assess any patterns or relationships between the two.
Q4. Given the vector field , compute the curl of and provide an interpretation of its physical significance.
Q5. For a vector field , prove that the divergence of the curl is zero.
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