Input functions and using lsim for sin input???

I am trying to plot the response of a RC low pass circuit with input 10Vsin with frequency 100Hz and the input signal needs to have a duration of 0.1s but the plot needs to be from 0:10. Heres my code, I cannot figure out what I am doing wrong

%% Problem 2a

%RC Low Pass Filter

%Vin = 10sin(wt)

%R = 4700 ohms

%C = 47 nano-farad

%fc = 720.8Hertz

%TF[Vout/Vin] =[1/(RCs + 1)]

%Plot Vout

R = 4700;

C = 47*10^-9;

w = 2*pi*100;

t1 = 0:0.001:0.1;

t2 = 0.101:0.001:10;

u1 = 10*sin(w*t1);

u2 = 0;

t = [t1 t2];

u = [u1 u2];

num = [1];

den = [R*C 1];

sys = tf(num,den);

Vo = lsim(sys,u,t);

figure;

plot(t,Vo)

Answer 1

[Sulaymon Eshkabilov]

Here is the fixed code:

R = 4700;
C = 47*10^-9;
w = 2*pi*100;
dt = 1e-5;             % Smaller sampling time is needed
t1 = 0:dt:0.1;
t2 = 0.1+dt:dt:10;
u1 = 10*sin(w*t1);
u2 = zeros(size(t2));  % Length of u2 has to be equal to t2
t = [t1 t2];
u = [u1 u2];
num = [1];
den = [R*C 1];
sys = tf(num,den);
Vo = lsim(sys,u,t);
figure;
plot(t,u, 'r-o', t, Vo, 'b-'), grid on
legend('Input signal (excitation)',' System Response')
xlim([0, 0.5])

[mnbaig94]

Can you please explain this part? Why you did t1,t2 and u1,u2?

Why not just u1 as input?

u1 = 10*sin(w*t1);

u2 = zeros(size(t2)); % Length of u2 has to be equal to t2

t = [t1 t2];

u = [u1 u2];

[Sulaymon Eshkabilov]

That was part of your exercise to have u composed of u1 and u2. If zero padding part of your signal is unnecessary, then you can use u1 instead of u in:

Vo = lsim(sys,u1,t1);