X(t)=0.117​9e-25.2tsi​n(50t+0.32​24π } Use MATLAB to Plot X (t)with time and determine the amplitude and phase angle of the transient response within the system

Find amplitude and phase angle and plot X(t) wrt time ?

Answer 1

[Sam Chak]

Hi @Talha

I wanted to help, because you probably wouldn't be asking this question if you already knew which MATLAB functions to use for finding the amplitude and phase angle. MATLAB offers numerous built-in functions. I need to know what the amplitude and phase angle are, and then I can likely identify the appropriate function for the task.

Could you sketch or mark the amplitude and phase angle? However, there is an issue with plotting the equation you supplied for . Please fix the equation so that we can continue our meaningful discussion.

X = @(t) 0.1179e-25.2*t.*sin(50*t + 0.3224*pi); % your original equation, π is replaced by 'pi'

Invalid expression. Check for missing multiplication operator, missing or unbalanced delimiters, or other syntax error. To construct matrices, use brackets instead of parentheses.

t = 0:0.001:0.5;        % specify the time span from 0 to 0.5 with time step of 0.001
plot(t, X(t)), grid on  % plot X(t) and enable grid

By the way, I don't have a math dictionary for '0.1179e-25.2'. Could you check your textbook? It might be a typo from the printing process.

[Talha]

0.1179*e^-25.2

[Talha]

0.1179*e^-25.2*t

[Sam Chak]

Hi @Talha

Here is an educated guess to preserve your equation as original as possible. 🙄

The number with 'e' added at the end of the digit, is a scientific format to display a number in exponential notation.

sym('0.1179e-25')

ans = 

0.00000000000000000000000001179

If this is not intended, you need to clarify what it is. 'e' can have different meaning in math. Write the equation clear, do not just copy & paste from a PDF.

X = @(t) 0.1179e-25*2*t.*sin(50*t + 0.3224*pi); % your original equation, π is replaced by 'pi'
t = 0:0.001:0.5;        % specify the time span from 0 to 0.5 with time step of 0.001
plot(t, X(t)), grid on  % plot X(t) and enable grid
xlabel t, ylabel X(t)

[Sam Chak]

Oh I see. It's the exponential e. Now, please sketch or mark the amplitude and phase angle of the transient response on the image of the plot. I think the transient lasts between 0 to 0.2 sec.

X = @(t) 0.1179*exp(-25.2*t).*sin(50*t + 0.3224*pi); % your original equation, π is replaced by 'pi'
t = 0:0.001:0.2;        % specify the time span from 0 to 0.2 with time step of 0.001
plot(t, X(t)), grid on  % plot X(t) and enable grid
xlabel t, ylabel X(t)

[Talha]

Thanks 👍

Answer 2

[Sulaymon Eshkabilov]

Do these steps:

(1) Initialize t:

(2) Compute: X(t)

(3) Plot: t vs. X:

(4) Compute magnitude:

(5) Compute phase angle:

[Talha]

Write complete code please

[Sulaymon Eshkabilov]

It is your job to show what you have done so far. It looks like a homework assignment.

[Dyuman Joshi]

@Talha, no one here will do your homework for you. If you want help, you'll have to show some effort.

@Sulaymon Eshkabilov has already been provided with information on how to proceed. You should try implementing it.

If you are new to programming with MATLAB, I suggest you take the free MATLAB Onramp tutorial and learn the basics of MATLAB.

[Talha]

So Sweet both of you