If the electric field in free space is E=Eo(x^+y^)sin(2pi/lamda)(z+ct), with Eo=2 statvolts/cm the magnetic field, not including any static magnetic field, must be what?
2. Relevant equation
∇ x B= 1/c ∂E/∂t
The Attempt at a Solution
First I calculated ∂E/∂t= cE0/c (x^+y^)cos(2pi/lamba)(x+ct)
Since B is perpendicular to E, it just has a z^ direction.
Then I equal both equations and I got Bz=Boc(yx^-xj^) cos....
Is this right ?