Question B.1: Calculate the divergence of F = xi + yj + zk....
Calculate the divergence of \mathbf{F}=x \hat{\mathbf{i}}+y \hat{\mathbf{j}}+z \hat{\mathbf{k}} .
Step-by-Step
\nabla \cdot \mathbf{F}=\frac{\partial}{\partial x}(x)+\frac{\partial}{\partial y}(y)+\frac{\partial}{\partial z}(z)=1+1+1=3 .
This is the vector field shown on the left in Figure B.1. Its divergence is constant everywhere.
Related Answered Questions
Question: B.2
Verified Answer:
\nabla \times \mathbf{F}=\left|\begin{arra...
Question: B.3
Verified Answer:
\nabla \times \mathbf{H}=\left|\begin{arra...