Explore BrainMass

# transfer function and unit setp response

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

(See attached file for full problem description)
For the following RC circuit,
A.) Using the knowledge that the Laplace transform of dX/dt is sX(s) and:
dVout / dt = 1/RC (Vin - Vout)
derive the Laplace transform of the above system, Vout(s)/Vin(s).

B.) Using the knowledge that the Laplace transform for C is 1/(sC) and that the Laplace Transform of R is simply R, re-derive the transfer function for the above circuit, Vout(s)/Vin(s), with the differential equation found as the starting point. (The answer should be the same as A)

C.) Given the results of 12, and the knowledge that the Laplace transform of a unit step is 1/s, calculate the Laplace transform Vout(s) for Vin=unit step.

https://brainmass.com/physics/circuits/transfer-function-unit-setp-response-95041

#### Solution Preview

A.) Using the knowledge that the Laplace transform of dX/dt is sX(s) and:
dVout / dt = 1/RC (Vin - Vout)
derive the Laplace transform of the above system, Vout(s)/Vin(s).

...

#### Solution Summary

By applying Laplace transform, it shows how to find the transfer function and unit setp response of the RC circuit. The solution is detailed and has a '5/5' rating.

\$2.49