Colby's Asgn

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Find the Thevenin equivalent impedance seen looking into the terminals of the following circuit:

Lna hw8 diagram1.jpg

To find the Thevenin equivalent impedance I will need to take the Laplace transform of each branch of the circuit and add them in series.

The Laplace transform of a resistor is

The Laplace transform of an inductor is

The Laplace transform of a capacitor is

Taking the Laplace transform of the original circuit gives the following.

Lna hw8 diagram2.jpg

The Thevenin equivalent impedance of this circuit is given by the equation

Substituting the values for R1, R2, C and L into the equation gives