In which of the following transistor configuration is the amplifier voltage gain the lowest?
Transistors can be configured in different ways to build amplifier circuits. The most common configurations for bipolar junction transistors (BJTs) are Common Emitter (CE), Common Base (CB), and Common Collector (CC), also known as the emitter follower.
Each configuration has distinct characteristics in terms of voltage gain, current gain, input impedance, and output impedance. The voltage gain (\(\text{A}_\text{v}\)) of an amplifier is defined as the ratio of the output voltage to the input voltage. A higher voltage gain means the amplifier significantly increases the voltage signal.
Let's look at the typical voltage gain for the standard configurations:
The "Emitter Coupled" configuration usually refers to a differential amplifier (like a long-tailed pair) which can provide voltage gain, but comparing the standard single-stage configurations, the Common Collector stands out for its characteristically low voltage gain.
In the Common Collector configuration, the input signal is applied to the base, and the output is taken from the emitter, with the collector common to both input and output (effectively connected to the power supply which is AC ground). The emitter voltage follows the base voltage very closely due to the feedback action of the emitter resistance.
The voltage gain (\(\text{A}_\text{v}\)) for an ideal Common Collector configuration is given by:
\(\text{A}_\text{v} = \frac{\text{R}_\text{E}}{\text{r}_\text{e}' + \text{R}_\text{E}}\)
Where \(\text{R}_\text{E}\) is the emitter resistance and \(\text{r}_\text{e}'\) is the dynamic resistance of the emitter diode. Since \(\text{r}_\text{e}'\) is usually small compared to \(\text{R}_\text{E}\) in a practical circuit, \(\text{A}_\text{v}\) is close to 1 but always slightly less than 1.
Compared to the high voltage gains typically achieved by Common Emitter and Common Base configurations (which can be much greater than 1), the Common Collector configuration has the lowest voltage gain.
| Characteristic | Common Emitter (CE) | Common Base (CB) | Common Collector (CC) |
|---|---|---|---|
| Voltage Gain (\(\text{A}_\text{v}\)) | High | High | Lowest (\(\approx\) 1) |
| Current Gain (\(\text{A}_\text{i}\)) | Moderate/High | Lowest (\(\approx\) 1) | Highest |
| Input Impedance | Medium | Low | Highest |
| Output Impedance | Medium/High | High | Lowest |
| Phase Shift (Input vs Output) | 180° | 0° | 0° |
Based on the characteristics, the Common Collector configuration exhibits the lowest voltage gain among the standard transistor amplifier configurations.
| Configuration | Primary Function | Voltage Gain | Current Gain | Impedance Matching |
|---|---|---|---|---|
| Common Emitter (CE) | Voltage Amplifier | High | Moderate/High | Medium Input, Medium/High Output |
| Common Base (CB) | Voltage Amplifier, High Frequency | High | Low (\(\approx\) 1) | Low Input, High Output |
| Common Collector (CC) | Current Amplifier, Buffer | Lowest (\(\approx\) 1) | High | High Input, Low Output |
Knowing the characteristics helps in choosing the right configuration for specific applications:
The Common Collector configuration's low voltage gain is not a drawback in its intended applications; rather, it's a feature that makes it ideal for current amplification and impedance buffering.
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