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## Homework Statement

A plane harmonic electromagnetic wave of amplitude E

_{o}and frequency w

_{o}is traveling in the positive x direction in a vacuum. It is linearly polarized with its plane of vibration at 45 degrees to the xy plane and the electric field is zero when x=0 and t=0

a) Make a sketch showing the polarization and propagation direction of the wave. Include the directions of E,B and the Poynting vector in the sketch

b) Write an expression for the electric field of the wave

c) Write an expression for the magnetic field of the wave

## Homework Equations

## The Attempt at a Solution

a)

b) kx = kcos(45), ky = ksin(45), phase angle = cos(x) = 0, therefore x must equal pi/2

E = E

_{o}Cos(sqrt(2)/2*kx +sqrt(2)/2*ky - w

_{o}t + pi/2)

c) B = E

_{o}/c*Cos(sqrt(2)/2*kx +sqrt(2)/2*ky - w

_{o}t + pi/2)

Have I done this correctly and is my sketch correct ?