Concept:
A Bipolar Junction Transistor (BJT) can be wired into three fundamental amplifier configurations: Common-Base (CB), Common-Emitter (CE), and Common-Collector (CC). Each profile possesses unique small-signal performance characteristics regarding input resistance (\(R_{\text{in}}\)) and output resistance (\(R_{\text{out}}\)).
In a Common-Emitter (CE) configuration, the input signal is applied directly across the base-emitter junction, while the amplified output signal is extracted across the collector-emitter path.
Let us analyze these terminals using small-signal hybrid-pi equivalent models:
• Input Impedance (\(R_{\text{in}}\)): Looking into the base, the input signal encounters the forward-biased base-emitter junction. The dynamic resistance of this junction is moderately small and is expressed as:
\[
R_{\text{in}} \approx r_{\pi} = (1 + \beta)r_e
\]
where \(\beta\) is the common-emitter current gain and \(r_e\) is the internal emitter resistance. This value typically ranges between several hundred ohms to a few kilo-ohms (\(1\text{ k}\Omega - 5\text{ k}\Omega\)), which is classified as moderately low when compared to field-effect transistors or common-collector stages.
• Output Impedance (\(R_{\text{out}}\)): Looking back into the collector terminal, the collector-base junction is reverse-biased under active operational conditions. The internal output resistance is dictated by the transistor's Early effect parameter (\(r_o\)):
\[
R_{\text{out}} \approx R_C \parallel r_o
\]
Since the internal resistance \(r_o\) is extremely large (often exceeding \(50\text{ k}\Omega\)), the parallel combination is dominated by the collector load resistor \(R_C\). This results in an output impedance that is classified as relatively high (typically several kilo-ohms to tens of kilo-ohms).
Let's look at a comparative reference table for the three configurations:
{|c|c|c|c|}
Parameter & Common-Base (CB) & Common-Emitter (CE) & Common-Collector (CC)
Input Impedance & Very Low (\(\approx$ tens of $\Omega\)) & Low Moderate (\(\approx$ 1 k$\Omega\)) & Very High (\(\approx$ hundreds of k$\Omega\))
Output Impedance & Very High (\(\approx$ M$\Omega\)) & High (\(\approx$ tens of k$\Omega\)) & Low (\(\approx$ tens of $\Omega\))
This systematic comparison confirms that the common-emitter configuration is characterized by a low input impedance and high output impedance.