Overall Feedback Voltage Gain of Common-Collector Amplifier Calculator

Overall Feedback Voltage Gain Formula:

\[ Gv = \frac{(\beta + 1) \times RL}{(\beta + 1) \times RL + (\beta + 1) \times Re + Rsig} \]

Collector Base Current Gain (β):

Load Resistance (RL):

Emitter Resistance (Re):

Signal Resistance (Rsig):

Overall Voltage Gain (Gv):

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1. What is the Overall Feedback Voltage Gain of Common-Collector Amplifier?

The Overall Feedback Voltage Gain of a Common-Collector Amplifier, also known as an emitter follower, is a key parameter that describes the amplification capability of this configuration. It represents the ratio of output voltage to input voltage and is typically close to but less than 1.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Gv = \frac{(\beta + 1) \times RL}{(\beta + 1) \times RL + (\beta + 1) \times Re + Rsig} \]

Where:

\( \beta \) — Collector Base Current Gain
\( RL \) — Load Resistance (Ω)
\( Re \) — Emitter Resistance (Ω)
\( Rsig \) — Signal Resistance (Ω)

Explanation: This formula calculates the voltage gain of a common-collector amplifier configuration, taking into account the transistor's current gain and various resistances in the circuit.

3. Importance of Overall Voltage Gain Calculation

Details: Calculating the overall voltage gain is crucial for designing and analyzing amplifier circuits. It helps determine the amplification factor, input and output impedance matching, and overall circuit performance in electronic systems.

4. Using the Calculator

Tips: Enter the Collector Base Current Gain (β), Load Resistance (RL), Emitter Resistance (Re), and Signal Resistance (Rsig). All resistance values must be positive, and β should be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: Why is the voltage gain of a common-collector amplifier typically less than 1?
A: The common-collector configuration provides current gain but not voltage gain. The output voltage follows the input voltage (hence "emitter follower"), resulting in a voltage gain close to but slightly less than 1.

Q2: What are typical values for β in transistors?
A: β values typically range from 50 to 200 for small-signal transistors, and can be up to 1000 for high-gain transistors, though it varies significantly between different transistor types.

Q3: How does this configuration benefit circuit design?
A: Common-collector amplifiers provide high input impedance and low output impedance, making them excellent for impedance matching between different stages of a circuit.

Q4: What happens if Rsig is very large?
A: A large signal resistance will decrease the overall voltage gain, as it forms a larger voltage divider with the input impedance of the amplifier stage.

Q5: Can this calculator be used for AC analysis?
A: Yes, this formula applies to small-signal AC analysis of common-collector amplifiers, where the parameters represent small-signal values at the operating point.