Question

The circuit in Figure 2 has an input-output relationship in time domain as given below: \frac{v_c(t)}{R} + C \frac{dv_c(t)}{dt} = \frac{v_s(t)}{R} $v_s(t)$ +$ $C$ +$ $v_c(t)$ Figure 2: RC Circuit $R = \alpha \Omega$ $C = a F$ $v_s(t) = 2au(t) V$ $v_c(0^-) = v_c(0) = v_c(0^+) = a V$ a) (10 points) By using the above values, obtain $V_c(s)$ (on your paper). b) (10 points) By using the $V_c(s)$ expression you found in step a, find the $v_c(t)$ expression in MATLAB. c) (10 points) By using the $v_c(t)$ expression you found in step b, find the $V_c(s)$ expression in MATLAB.

          The circuit in Figure 2 has an input-output relationship in time domain as given below:
\frac{v_c(t)}{R} + C \frac{dv_c(t)}{dt} = \frac{v_s(t)}{R}

$v_s(t)$

+$

$C$

+$

$v_c(t)$

Figure 2: RC Circuit

$R = \alpha \Omega$
$C = a F$
$v_s(t) = 2au(t) V$
$v_c(0^-) = v_c(0) = v_c(0^+) = a V$
a) (10 points) By using the above values, obtain $V_c(s)$ (on your paper).
b) (10 points) By using the $V_c(s)$ expression you found in step a, find the $v_c(t)$ expression in MATLAB.
c) (10 points) By using the $v_c(t)$ expression you found in step b, find the $V_c(s)$ expression in MATLAB.

Show more…

The circuit in Figure 2 has an input-output relationship in time domain as given below:
(vc(t))/(R) + C (dvc(t))/(dt) = (vs(t))/(R)

vs(t)

+C+

vc(t)

Figure 2: RC Circuit

R = αΩ
C = a F
vs(t) = 2au(t) V
vc(0^-) = vc(0) = vc(0^+) = a V
a) (10 points) By using the above values, obtain Vc(s) (on your paper).
b) (10 points) By using the Vc(s) expression you found in step a, find the vc(t) expression in MATLAB.
c) (10 points) By using the vc(t) expression you found in step b, find the Vc(s) expression in MATLAB.

Added by Marcus T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Suman K

Step 1

From the given relationship, we have: ∫(aR) dt = ∫(ap vs(t)) dt = RWWWCvc(t) Taking the Laplace transform of both sides, we get: ∫(aR) dt = ∫(ap vs(t)) dt = RWWWCvc(t) Applying the Laplace transform to each term, we have: aR = apVs(s) = Show more…

Show all steps

lock

Thanks for your feedback!

Please solve ASAP: a=3 The circuit in Figure 2 has an input-output relationship in the time domain as given below: âˆ«(aR) dt = âˆ«(ap vs(t)) dt = RWWWCvc(t) Figure 2: RC Circuit R = a C = aF vs(t) = 2au(t) V vc(0-) = vc(0) = vc(0+) = aV a) (10 points) By using the above values, obtain Vc(s) (on your paper). b) (10 points) By using the Vc(s) expression you found in step a, find the vc(t) expression in MATLAB. c) (10 points) By using the vc(t) expression you found in step b, find the Vc(s) expression in MATLAB.

Play audio

Feedback

Powered by NumerAI

Suman K and 95 other subject Physics 102 Electricity and Magnetism educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later