Hybrid pi model for transistor

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Could anyone help me with this problem? I need to show that the circuit of the figure behaves in an inductive way. For this, the complete hybrid pi model of transistors should be used to extract the impedance and show that the circuit really behaves like an inducer. Thank you in advance!


The transistor can be replaced by its complete hybrid pi model, as shown in the figure below
 
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Solve for Zin and Zout to look at behavior. Use PFE on your
solutions to get at the actual resulting element values so you
can see what dominates.

Best done in LaPlace.


Regards, Dana.
 

Capacitors and inductors are often counterparts.

The capacitor with resistive divider is able to display inductive action. It can be seen by examining AC square waves going through either your green/yellow network or green/red network.

There are gyrator circuits which use a resistor and capacitor to produce inductor behavior. It starts with the capacitive time constant and adds an active component, in order to mimic an inductive time constant.

An op amp or transistor is the active (amplifying) component.
Your transistor circuit appears to contain a similar concept.
 

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