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(Solved): In class we analyzed an RC circuit with component values are R=10k\Omega and C=100\mu F. Here we w ...



In class we analyzed an RC circuit with component values are

R=10k\Omega

and

C=100\mu F

. Here we will change the forcing function and the initial condition. a. Derive an expression for

v_(out )(t)

where

v_(out )(t)=v_(C)(t),v_(in )(t)=5sin(\omega t)V

, and

v_(c)(0)=v_(0)

i. Written solutions for the Laplace Transform (you can use the table) ii. A short description of what method/program you use to solve the inverse transform (if you use a website include the FULL url of the solution). b. What is the time constant for this system? How does this compare to

R=100k\Omega

and

C=100\mu F

? c. Plot the response of the system to the unit step input assuming zero initial conditions (make sure that your plot is well-formatted).



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