3D EM plot using plot3

I got this question and I can't understand if I'm getting the correct plot given the specifications I have.

"Make a 3D plot of the electromagnetic wave at t = 0 for region 0 < x < 12cm. Show simultaneously the electric and magnetic components in one plot. You will need to us vectors of zeros and the plot3 command."

E(x,t) = E0*sin(omega*t - beta*x) in the y direction

H(x,t) = H0*sin(omega*t - beta*x) in the z direction

lambda = 4e-2 m

f = 15 Ghz

t = 0;

0 < x < 0.12 m

This is the code I developed so far

x = linspace(0,0.12,100)
m = zeros(1,100)

t = 0
phi = 0
la = 4e-2
f = 15e9

w = 2*pi*f
b = 2*pi/la

y = sin(w*t -b*x + phi) %Ele wave
z = cos(w*t -b*x + phi) %Mag wave

plot3(x,m,z) %mag field
hold on
plot3(x,y,m) %ele field
hold on
plot3(x,m,m)
hold off

I also got another similar question asking me the following:

"Plot the two components of the electromagnetic wave at t=0 for region 0 < x < 12 cm"

And I actually developed the code above as an answer. Should I instead use separate plots for this question instead of a 3D one?

[darova]

I found something

[Phil P]

I posted the wrong code sorry. I updated the post with the current reasoning.

[darova]

You don't use surf?

E(x,t) = E0*sin(omega*t - beta*x) in the y direction

H(x,t) = H0*sin(omega*t - beta*x) in the z direction

Shouldn't it be a surfacE?

[Phil P]

This is exactly the thing I don't get from the text. Should it just be a 3D plot of the two waves together or something else? Because this is already a 3D plot.

How do you use surf in this case?

[darova]

• "Plot the two components of the electromagnetic wave at t=0 for region 0 < x < 12 cm"

Your code is correct for this condition