# Divergence and Curl???

• Nov 8th 2009, 07:52 PM
orendacl
Divergence and Curl???
Take the Divergence and curl of the following:

E = 5y^2 * xhat + 6xy * yhat

I suppose that my terminology for the "xhat & yhat" could look like x^ and y^; (has the hat symbol above the x and y values)...

I think that E is basically a vector field..
• Nov 8th 2009, 08:51 PM
Jhevon
Quote:

Originally Posted by orendacl
Take the Divergence and curl of the following:

E = 5y^2 * xhat + 6xy * yhat

I suppose that my terminology for the "xhat & yhat" could look like x^ and y^; (has the hat symbol above the x and y values)...

I think that E is basically a vector field..

$\displaystyle \text{div} \bold{E} = \nabla \cdot \bold{E}$ while $\displaystyle \text{curl} \bold{E} = \nabla \times \bold{E}$, where $\displaystyle \nabla = \frac {\partial}{\partial x} \hat{x} + \frac {\partial}{\partial y} \hat{y} + \frac {\partial}{\partial z} \hat{z}$

think you can take it from here?
• Nov 10th 2009, 02:09 AM
jeneverboy
Quote:

I think that E is basically a vector field..
E must be a vector:

The divergence of a vector is a scalar
The curl of a vector is a vector
The grad of a scalar is a vector