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Math Help - Divergence and Curl???

  1. #1
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    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..
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by orendacl View Post
    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..
    \text{div} \bold{E} = \nabla \cdot \bold{E} while \text{curl} \bold{E} = \nabla \times \bold{E}, where \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?
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  3. #3
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    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
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