Getting E-Field from magnetic field intensity, H

[electrifice]

1. The problem statement, all variables and given/known data
Given the magnetic field intensity, H, find E.
H=\hat{y}6cos(2z)sin((2x10^7)t - 0.1x)


2. Relevant equations
\nabla \times E = \frac{- \partial B}{\partial t}


3. The attempt at a solution
Since we have H, we can use the relationship that \muH = B and then take the partial derivative of that with respect to time. That would give us this quantity...

\frac{- \partial B}{\partial t}

Now, how do I get to E-field from that? How do you "uncurl" that?

[Mindscrape]

You could use Stokes's theorem to "uncurl" E. Do you see where it's headed?

Also, just to help you out in the future, anything with Calc 3 doesn't really belong in intro physics, and you may be helped quicker in advanced physics for questions like this.