Common emitter amplifier Electronics

This looks like a description of a lab exercise. Is this an experiment that you've carried out? What sort of help are you looking for?

Determining the gain theoretically will involve modelling the transistor to some extent.

 

I agree with LvW -- that circuit looks to have problems. Is this for a lab? Or are you supposed to simulate it? Have you calculated its quiescent operating point?


EDIT -- Dang it! Beaten out by gneill again!

 

You'll need to know the frequency range that was used and the capacitor value (its impedance will be of the same order of magnitude as the circuit's resistors unless the frequency is pretty high). You'll also need to know something about the transistor used, either its specific part number or know its β or have its characteristic curves on hand.

 

Well, with only the β you can start by finding the approximate DC operating point. You'll have to assume a typical value for the base-emitter voltage. Since the base current is going to be pretty substantial for this circuit (I'd guess on the order of a couple of milliamps thanks to the collector current pulling down the voltage at the collector and limiting the voltage at the "top" of R_B), that base-emitter voltage will probably turn out to be somewhat higher than "typical".

 

Unless you can find this circuit already analyzed somewhere you won't find a "standard formula". There are many different configurations for transistors, each requiring their own analysis and producing different formulas. The approach here would be to replace the transistor with a simple equivalent model and then apply circuit analysis to the resulting circuit.