Question

Choose appropriate values of w, Dw, k and Dk and plot the sum of

v₁(z,t) = sin(wt - kz) and v₂(z,t) = sin([w + Dw]t - [k + Dk]z) for a) a fixed value of time as a function of z; and b) for a fixed value of z as a function of time.  

Answer 1

The matlab software is used for plotting the above expression

code is given below

a)

clc;
close all;
clear all;
w=2*pi*100;
Dw=2*pi*10;
k=10;
Dk=1;
t=0:0.001:1;
z=0:1:1000;
v1=sin(w*t-k*z);
v2=sin((w+Dw)*t+(k+Dk)*z);
v=v1+v2;
plot(t,v)
xlabel('t')
ylabel('v1(z,t)+v2(z,t)')

b)

clc;
close all;
clear all;
w=2*pi*100;
Dw=2*pi*10;
k=10;
Dk=1;
t=0:0.001:1;
z=0:1:1000;
v1=sin(w*t-k*z);
v2=sin((w+Dw)*t+(k+Dk)*z);
v=v1+v2;
plot(z,v)
xlabel('z')
ylabel('v1(z,t)+v2(z,t)')