- #1
whatisreality
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Homework Statement
The B field depends on z and t so that
##B = j B_{0}cos(kz-\omega t)## where k is the wavenumber, ##\omega## is angular frequency and ##B_{0}## is constant.
The electric field is ##E = E_{x}i + E_{y}j +E_{z}k##. Given ##E_{y}=E_{z}=0##, and ##E_{x}=\frac{\omega B_{0}}{k}## at ##t=z=0##, determine an expression for ##E_{x}##.
Homework Equations
The Attempt at a Solution
I think I'm probably missing some sort of important concept! I feel like some sort of integration/differential equation should be involved, especially since ##E_{x}## at ##t=z=0## looks like a boundary condition. But I don't know how to turn this expression at t=0 into a general expression. It might not even have anything to do with the magnetic field...