Transistor as an Amplifier: Common Emitter Configuration Explained

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Transistor as an Amplifier: Common Emitter Configuration Explained

The common emitter configuration is the most widely used BJT amplifier circuit -- providing voltage gain, current gain, and 180-degree phase inversion.

This guide covers the circuit, DC biasing, voltage gain calculation, and the role of each component -- with a live gain calculator.

Voltage Gain Av DC Biasing Phase Inversion Load Line

Input at the base, output at the collector -- the emitter is the shared (common) terminal for both circuits. Voltage gain = RC / re, where re is the dynamic emitter resistance of the transistor.

Common Emitter Amplifier: How the BJT Amplifies a Signal

Hello! Today we are going to work through how a BJT transistor works as an amplifier in the common emitter configuration. This is the foundation of analogue electronics -- once you understand this circuit, you understand how most small-signal amplifiers, audio stages, and sensor signal conditioners work. Let us go step by step.
Common Emitter

A BJT amplifies because a small base current controls a much larger collector current. The gain β (beta) is the ratio of collector to base current.

In this configuration, current gain combined with the collector resistor produces voltage gain.

Three things determine how well the amplifier works in this configuration: the DC bias point (Q-point), the AC voltage gain, and the 180-degree phase inversion between input and output. Click any term to expand.

DC Bias Point (Q-point): The quiescent operating point -- the DC collector voltage and current when no AC signal is applied. For linear amplification, the Q-point must sit near the middle of the load line so the output can swing equally in both directions without clipping. Voltage divider biasing (R1 and R2 from supply to base) is the most stable method for setting the Q-point.
AC Voltage Gain (Av): The ratio of AC output voltage (at collector) to AC input voltage (at base). Av = minus RC / re, where RC is the collector resistor and re is the transistor's dynamic emitter resistance (re = 26 mV / IC in milliamps at room temperature). The minus sign indicates phase inversion. Higher RC gives higher gain, but also raises the collector DC voltage and risks moving the Q-point out of the linear region.
180-Degree Phase Inversion: In the common emitter configuration, when the base voltage goes positive, the collector current increases, which increases the voltage drop across RC, which makes the collector voltage go negative. Input and output are 180 degrees out of phase. This is the characteristic signature of the common emitter amplifier -- useful in oscillator feedback networks and inverting amplifier designs.
Av = RC/re
Voltage gain formula for common emitter amplifier (without emitter bypass capacitor)
180°
Phase shift between input (base) and output (collector)
26 mV / IC
Dynamic emitter resistance re at room temperature
VCC/2
Ideal Q-point collector voltage for maximum output swing
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Common Emitter Amplifier Circuit Components

A practical CE amplifier circuit has six main components: the transistor, two biasing resistors (R1 and R2), a collector resistor (RC), an emitter resistor (RE), and two coupling capacitors (Cin and Cout). An emitter bypass capacitor (CE) is often added to increase AC gain.

ComponentFunctionTypical Value
R1 (upper bias)Forms voltage divider with R2 to set base voltage and Q-point10 kΩ to 100 kΩ
R2 (lower bias)Forms voltage divider with R1; lower value sets higher base voltage2.2 kΩ to 22 kΩ
RC (collector)Converts collector current changes into output voltage; sets AC gain1 kΩ to 10 kΩ
RE (emitter)Provides thermal stability and negative feedback; reduces gain slightly100 Ω to 1 kΩ
CE (emitter bypass)Short circuits RE for AC signals, restoring full AC gain while keeping DC stability10 µF to 100 µF
Cin (input coupling)Blocks DC from the signal source; passes only the AC signal to the base1 µF to 10 µF
Cout (output coupling)Blocks DC collector voltage from the load; passes only the AC output signal1 µF to 47 µF

DC Biasing and the Q-point

The Q-point (quiescent point) is the DC operating point of the transistor with no AC signal applied. It must be set correctly for linear amplification.

Voltage divider biasing gives a stable base voltage independent of β. VE = VB minus 0.7 V.

IE ≈ VE / RE ≈ IC. Collector voltage VC = VCC minus IC × RC.

Q-point Calculation
VB = VCC × R2 / (R1 + R2)
VB: base voltage set by voltage divider
VE: emitter voltage = VB minus 0.7 V
IE: emitter current = VE / RE (≈ IC for high-β transistors)
VC: collector voltage = VCC minus IC × RC
Ideal: VC ≈ VCC / 2 for maximum undistorted output swing
The Q-point should be set at VCC / 2 for maximum symmetrical output swing. If the Q-point is too high (near VCC), the positive half cycle of the output clips. If too low (near ground), the negative half cycle clips. Both conditions cause distortion.
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Voltage Gain of the Common Emitter Amplifier

The AC voltage gain of this amplifier depends on the collector resistor and the transistor's dynamic emitter resistance. The dynamic emitter resistance re is a small-signal parameter -- it represents the AC resistance of the base emitter junction at the operating point.

AC Voltage Gain
Av = minus RC / re where re = 26 mV / IC(mA)
Av: voltage gain (negative = 180° phase inversion)
RC: collector resistor (ohms)
re: dynamic emitter resistance = 26 mV / IC in milliamps
IC: quiescent collector current (mA)

With emitter bypass capacitor CE: Av = minus RC / re (full gain)
Without CE: Av = minus RC / (RE + re) ≈ minus RC / RE (reduced, stable gain)

Example: IC = 2 mA, RC = 4.7 kΩ, CE fitted.

re = 26 / 2 = 13 Ω. Av = 4700 / 13 = 362. Output is 362 times larger than input, inverted.

Without CE (RE = 470 Ω): Av = 4700 / 483 = 9.7. RE dramatically reduces gain but improves stability and reduces distortion.

This trade-off is the core design decision. See the BJT currents and voltages guide for how IC relates to β and IB.

Common Emitter Amplifier Calculator

Q-point and Voltage Gain Calculator
Calculate bias voltages, Q-point, and AC voltage gain
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Three BJT Amplifier Configurations Compared

ParameterCommon EmitterCommon Collector (Emitter Follower)Common Base
Input terminalBaseBaseEmitter
Output terminalCollectorEmitterCollector
Common terminalEmitterCollectorBase
Voltage gainHigh (RC/re)Less than 1 (emitter follows base)High (similar to CE)
Current gainHigh (β)High (β + 1)Less than 1 (α)
Phase inversionYes (180°)NoNo
Input impedanceMedium (β × re)High (β × RE)Low (re)
Output impedanceHigh (≈ RC)Low (≈ re)High
Main useGeneral amplification, signal conditioningBuffer, impedance matchingRF amplifier, current to-voltage

Common Emitter Amplifier Applications

Audio Preamplifier

A microphone signal (typically a few millivolts) is amplified by one or more CE stages to line level. Each stage provides 20 to 40 dB of gain.

Coupling capacitors block DC between stages. See the RMS value guide.

Sensor Signal Amplification

Low level signals from thermocouples, strain gauges, and photodiodes are often too small for direct ADC input. A common emitter stage (or op-amp, which internally uses similar stages) amplifies the signal to a usable range. See the transistor basics guide for the underlying BJT operation.

Oscillator Feedback Stage

The CE amplifier is the gain element in RC phase-shift and LC oscillators. Its 180-degree phase inversion combines with another 180 degrees from the feedback network to satisfy the Barkhausen criterion.

See the reactance guide for how LC networks create phase shift.

Logic Level Interface

A CE stage converts a 3.3 V logic signal to a 12 V relay drive signal.

With RC sized for saturation, the transistor acts as a digital switch rather than a linear amplifier. See the semiconductor guide.

Watch: Common Emitter Transistor Amplifier Explained

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Common Emitter Amplifier Questions

Why is the common emitter configuration the most widely used?
It provides both voltage gain and current gain with medium input and output impedance. The emitter follower has no voltage gain; the common base has low input impedance.
What does the emitter bypass capacitor do?
CE short-circuits RE for AC signals. This removes RE from the gain formula (Av = RC / re instead of RC / (RE + re)), giving higher AC gain while RE maintains DC bias stability.
Why does the amplifier invert the signal in common emitter configuration?
When base voltage rises, collector current increases, increasing the voltage drop across RC, which makes the collector voltage fall. Rising input produces falling output -- 180-degree phase inversion.
What is the dynamic emitter resistance re?
re = 26 mV / IC (in milliamps) at room temperature. At IC = 2 mA, re = 13 Ω. It represents the small-signal AC resistance of the base emitter junction and directly determines the voltage gain when CE is fitted.
What happens if the Q-point is not centred?
If the Q-point is too high or too low, the output signal clips on one half cycle before the other. This produces distortion. The Q-point should be set at approximately VCC / 2 for maximum undistorted output swing.

External References

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What We Learn Today

  • The common emitter stage takes input at the base, output at the collector, with the emitter as the common terminal
  • Voltage gain Av = RC / re (with CE bypass) or RC / (RE + re) without CE -- always with 180-degree phase inversion
  • Dynamic emitter resistance re = 26 mV / IC(mA) -- the key parameter linking collector current to AC voltage gain
  • Voltage divider biasing (R1, R2) sets a stable Q-point at VCC / 2 for maximum output swing
  • The emitter bypass capacitor CE increases AC gain while RE maintains DC stability -- a fundamental design trade-off
  • Common emitter is used in audio preamps, sensor signal amplifiers, oscillator feedback stages, and logic interface circuits
“The common emitter amplifier is where transistor theory meets real circuit design. Get the Q-point right, size the collector resistor for the gain you need, and the rest follows from re.”

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