Why is the output of a common-emitter amplifier inverted?
More base voltage means more collector current, which drops more voltage across the collector resistor and pulls the collector down. The output moves opposite to the input.
The common-emitter stage is the standard single-transistor voltage amplifier. Divider bias sets the operating point, the emitter resistor keeps that point stable from one transistor to the next, and a bypass capacitor restores the AC gain.
R1 and R2 divide 12 V down to about 2.1 V at the base. The base-emitter junction drops about 0.7 V, which leaves 1.4 V across R4, so the emitter current is about 1.4 mA. The collector current is almost the same and drops about 6.6 V across R3, leaving the collector near 5.4 V, roughly mid-range, so the output can swing both ways.
This bias point barely depends on the transistor's current gain, which varies a lot between parts. If the current tries to rise, the emitter voltage rises with it, the base-emitter voltage shrinks and the current is pulled back. That negative feedback is R4's job.
For AC signals, C3 shorts R4, so the emitter sits at signal ground. A small change at the base then changes the collector current a lot: the gain is about −R3 / re, where re = 26 mV / IE ≈ 19 Ω, so roughly −250 before any load. The output is inverted: when the base goes up, the collector goes down.
C1 and C2 pass the signal but block DC, so the source and the load cannot upset the bias. Without C3 the gain drops to about −R3 / R4, roughly −4.7, but it becomes almost independent of the transistor and distorts far less. Many designs bypass only part of the emitter resistance to land in between.
VB ≈ VCC × R2 / (R1 + R2) = 12 V × 10 kΩ / 57 kΩ ≈ 2.1 VIE ≈ (VB − 0.7 V) / R4 = 1.4 V / 1 kΩ ≈ 1.4 mAVC ≈ VCC − IC × R3 = 12 V − 1.4 mA × 4.7 kΩ ≈ 5.4 VAv ≈ −R3 / re, re = 26 mV / IE ≈ 19 Ω, so Av ≈ −250Unloaded. A load RL at the output replaces R3 with R3 ∥ RL in this formula.
Av ≈ −R3 / (re + R4) ≈ −4.7 kΩ / 1.02 kΩ ≈ −4.6| Ref | Part | Value | What it does |
|---|---|---|---|
| C1 | Electrolytic capacitor | 10 µF | Input coupling capacitor, + toward the base. |
| C2 | Electrolytic capacitor | 10 µF | Output coupling capacitor, + toward the collector. |
| C3 | Electrolytic capacitor | 100 µF | Emitter bypass capacitor. Raises the AC gain. |
| Q1 | NPN transistor | 2N3904 | 2N3904 small-signal NPN transistor. |
| R1 | Resistor | 47 kΩ | Top of the bias divider, 47 kΩ. |
| R2 | Resistor | 10 kΩ | Bottom of the bias divider, 10 kΩ. With R1 it sets about 2.1 V at the base. |
| R3 | Resistor | 4.7 kΩ | Collector resistor. Sets the gain and the DC collector voltage. |
| R4 | Resistor | 1 kΩ | Emitter resistor. Stabilises the bias point. |
Recovered from the drawing itself: every pin on each net below is joined by a wire, a junction or a shared supply or ground symbol.
| Net | Connects |
|---|---|
| N1 | Q1.base, R1.1, R2.1, C1.+ |
| N2 | Q1.collector, R3.1, C2.+ |
| N3 | Q1.emitter, R4.1, C3.+ |
| +12V | R1.2, R3.2 |
| GND | R2.2, R4.2, C3.- |
| Vin | C1.- |
| Vout | C2.- |
More base voltage means more collector current, which drops more voltage across the collector resistor and pulls the collector down. The output moves opposite to the input.
It shorts the emitter resistor for AC signals, raising the gain from about R3 / R4 to about R3 / re, while R4 still stabilises the DC bias.
Pick the collector current, set the emitter voltage to roughly a tenth of the supply, add 0.7 V for the base, then choose a divider whose current is about ten times the base current.
R1 ∥ R2 ∥ (β × re). With β = 100 that is 47 kΩ ∥ 10 kΩ ∥ 1.9 kΩ ≈ 1.5 kΩ with C3 in place.
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A GPIO pin switches a 5 V relay through a 470 Ω resistor and a 2N2222, with a flyback diode.
A gain of −10 from a 1 kΩ input and a 10 kΩ feedback resistor.
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