ME 450 ME450 Homework 3 ANSWERS (Penn State University)

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ME450 Homework 3 Solution (Penn State University)

Consider the electrical network shown below.

Derive a state space model for the network with voltages eo and ei as output and input, respectively.
Obtain the transfer function and input/output differential equation from the state space model.
The input voltage ei after being equal to 10 volts for a very long time, suddenly changes from 10 to 0 Volts at time t  0. Find the following quantities at t  0 :
ec , iL , and eo . Use R1  100 , R2  R3  400 , C  1F and L  0.2H .
Solve the input/output equation for eo(t) , t > 0, using Laplace transformation
approach.
Solve the input/output equation for eo(t) , t > 0, using Homogeneous Solution and Particular integral approach

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