Chapter B
Q. B.1
Calculate the divergence of \mathbf{F}=x \hat{\mathbf{i}}+y \hat{\mathbf{j}}+z \hat{\mathbf{k}} .
Step-by-Step
Verified Solution
\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.
