Getting E-Field from magnetic field intensity, H

[electrifice]

Homework Statement

Given the magnetic field intensity, H, find E.
H=$$\hat{y}$$6cos(2z)sin((2x10^7)t - 0.1x)

Homework Equations

$$\nabla$$ $$\times$$ E = $$\frac{- \partial B}{\partial t}$$

The Attempt at a Solution

Since we have H, we can use the relationship that $$\mu$$H = 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.