Home Back

Common Emitter Amplifier Gain Calculator

Common Emitter Amplifier Gain Formula:

\[ Gain = -\frac{R_c}{R_e} \]

ohms
ohms

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Common Emitter Amplifier Gain?

The common emitter amplifier gain represents the voltage amplification factor of a bipolar junction transistor (BJT) configured in the common emitter topology. It indicates how much the input signal is amplified at the output.

2. How Does the Calculator Work?

The calculator uses the common emitter amplifier gain formula:

\[ Gain = -\frac{R_c}{R_e} \]

Where:

Explanation: The negative sign indicates a 180-degree phase shift between input and output signals, which is characteristic of common emitter amplifiers. The gain magnitude is determined by the ratio of collector to emitter resistances.

3. Importance of Voltage Gain Calculation

Details: Accurate gain calculation is crucial for designing amplifier circuits, predicting signal amplification, ensuring proper circuit performance, and avoiding signal distortion in electronic systems.

4. Using the Calculator

Tips: Enter collector resistance and emitter resistance in ohms. Both values must be positive and non-zero. The calculator will compute the voltage gain, which is unitless.

5. Frequently Asked Questions (FAQ)

Q1: Why is the gain negative in common emitter amplifiers?
A: The negative sign indicates phase inversion - the output signal is 180 degrees out of phase with the input signal, which is a fundamental characteristic of common emitter configuration.

Q2: What are typical gain values for common emitter amplifiers?
A: Typical voltage gains range from 10 to 200, depending on the resistor values and transistor characteristics. Higher Rc/Re ratios yield higher gains.

Q3: When is this simplified gain formula applicable?
A: This formula applies when the emitter resistor is not bypassed with a capacitor. For bypassed emitter configurations, the gain calculation differs significantly.

Q4: What factors affect the actual gain in practical circuits?
A: Transistor beta, temperature, supply voltage, load resistance, and frequency all affect the actual gain in real-world implementations.

Q5: How does this relate to AC and DC analysis?
A: This calculation represents the small-signal AC voltage gain. Proper DC biasing must be established first for the amplifier to function correctly.

Common Emitter Amplifier Gain Calculator© - All Rights Reserved 2025