Return Ratio - Example: Collector-to-base Biased Bipolar Amplifier

Example: Collector-to-base Biased Bipolar Amplifier

Figure 1 (top right) shows a bipolar amplifier with feedback bias resistor Rf driven by a Norton signal source. Figure 2 (left panel) shows the corresponding small-signal circuit obtained by replacing the transistor with its hybrid-pi model. The objective is to find the return ratio of the dependent current source in this amplifier. To reach the objective, the steps outlined above are followed. Figure 2 (center panel) shows the application of these steps up to Step 4, with the dependent source moved to the left of the inserted source of value it, and the leads targeted for cutting marked with an x. Figure 2 (right panel) shows the circuit set up for calculation of the return ratio T, which is

The return current is

The feedback current in Rf is found by current division to be:

The base-emitter voltage vπ is then, from Ohm's law:

Consequently,

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