writing a traveling electromagnetic wave

How can I write the highlited below in matlab with ploting :

Exercise 1-3: The electric field of a traveling

electromagnetic wave is given by

E(z, t) = 10 cos(π × 10^7t + πz/15 + π/6) (V/m).

Determine (a) the direction of wave propagation, (b) the

wave frequency f , (c) its wavelength λ, and (d) its phase

velocity up.

Answer: (a)−z direction, (b) f = 5 MHz, (c) λ = 30 m,

(d) up = 1.5 × 108 m/s.

[darova]

Please provide your attempts

[Moaiyd Hobani]

But not sure if it is correct or not. I tried also to look at this forum with no luck

Answer 1

[darova]

I think your plot should be a surface since you have two dependent variables z and t

Here is an example

t = linspace(0,200,30);
x = linspace(0,200,30);
[T,X] = meshgrid(t,x);      % create matrices
E = % your formula 
surf(T,X,E)

Remember about dot before operator signs while using matrices

[Moaiyd Hobani]

Thanks for your help, I did the below:

t = linspace(0,200,30);
z = linspace(0,200,30);
[T,Z] = meshgrid(t,z);      % create matrices
E = 10*cos((pi*10^7*t)+(pi*Z/15)+(pi/6))
surf(T,Z,E)

[darova]

Here are suggestions

[Moaiyd Hobani]

Appreciate your suggestion. Sorry what is the “increate point” ? Do you mean “increase points “? How much ?

[darova]

Increase number of points