Extra Element Theorem - Driving Point Impedances - Example

Example

Consider the problem of finding for the circuit in Figure 1 using the EET (note all component values are unity for simplicity). If the capacitor (gray shading) is denoted the extra element then

Removing this capacitor from the circuit we find

Calculating the impedance seen by the capacitor with the input shorted we find

Calculating the impedance seen by the capacitor with the input open we find

Therefore using the EET, we find

Note that this problem was solved by calculating three simple driving point impedances by inspection.

Read more about this topic:  Extra Element Theorem, Driving Point Impedances

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