Problem about electromagnetic waves -- Writing equations for B(t) and E(t)

[Bernat Pinos]

Hi! I'm trying to solve a problem and I'm lost. Would someone kindly help me with the solution, please?

1. Homework Statement

A plain electromagnetic wave with a 20GHz frequency moves in the positive direction of the Y axis and its magnetic field is oriented along the Z axis. The amplitude of the electric field is 10 V / m, and the electric field at the origin of coordinates is 10 V / m when t = 0. Write the equation for E and for B.

Homework Equations

B = -(Em/c)*sin(ky + ωt)x

B = Bm*cos(kx - ωt)

E = Em*cos(kx - ωt)

The Attempt at a Solution

As I said I'm really lost, so my attemps have been almost nothing.

Thanks!

 

[DrClaude]

Homework Equations

B = -(Em/c)*sin(ky + ωt)x

B = Bm*cos(kx - ωt)

E = Em*cos(kx - ωt)

What is the most generic equation you can find for the electric and magnetic field in 3D?

Once you have that, you simply need to adapt it to the conditions specified.

 

[Bernat Pinos]

What is the most generic equation you can find for the electric and magnetic field in 3D?

Once you have that, you simply need to adapt it to the conditions specified.

Thank you for your answer DrClaude.