Electric field in nonmagnetic material given a magnetic field

[PeterV]

Homework Statement

Electric field from magnetic field

Relevant Equations

H = 50⋅exp(−100⋅x)⋅cos(2π⋅10⁹⋅t − 200⋅x)⋅ŷ

Hello, I am stuck on a problem that I don't quite understand, which looks like this:

"Given a nonmagnetic material with the magnetic field

H = 50⋅exp(−100⋅x)⋅cos(2π⋅10⁹⋅t − 200⋅x)⋅ŷ

determine the electric field strength E"

I don't understand how I am supposed to find the solution for this problem;
I have tried using Faraday's Law, but this only gives me some weird curl vectors that give me meaningless solutions, like partial derivatives of constants and things like that, and I cannot find any relationship between these fields that actually allow me to solve for E in a sensible way.
What is it that I am missing here?

 

[vanhees71]

It's a good exercise to figure out, whether this problem is complete, i.e., if you can reconstruct the electromagnetic field $(\vec{E},\vec{B})$ from only the given information.

First of all, you should correct the given formula, which is inacceptable, because there are dimensionful quantities in exp and cos, and the argument of the latter adds a time to a length.

Last but not least: It's way more convenient to work with symbols first and only at the very end put numbers (or physical quantities with the correction dimensions!).