Common Emitter Amplifier Calculator
Compute voltage gain, input/output impedance, and bandwidth of a common-emitter BJT amplifier with emitter degeneration.
How to Use
- Enter Ic bias point, β, collector resistor Rc, and emitter resistor Re.
- Enter source impedance Rs for bandwidth estimate (via Miller effect).
- Tool computes Av, Zin, Zout.
Show Work
Formulas
History of the Common-Emitter Amplifier
The common-emitter (grounded-emitter) topology dominated signal amplification from the 1950s through the op-amp revolution of the 1970s. Every 1960s ham radio, transistor radio, and Hi-Fi preamp had cascaded CE stages as their voltage-gain core. The Miller-effect bandwidth limitation (collector-base capacitance multiplied by gain) became a key constraint that drove the development of cascode topologies and integrated op-amps with internal compensation.
About This Calculator
Enter DC bias Ic, β, Rc (collector-to-Vcc), Re (emitter-to-ground; 0 = bypassed), and load RL (∞ = open collector). The tool computes re = 26mV/Ic, voltage gain Av = -(Rc||RL)/(re+Re), input Zin = rπ + (β+1)Re, output Zout ≈ Rc.
For high-gain without DC instability: keep Re ≈ 0.1·Rc for bias, then add emitter bypass cap Ce sized for lowest passband frequency. Everything runs client-side.
The gain-versus-stability trade-off
The central tension in a common-emitter design is that the very thing giving you the most voltage gain — tying the emitter straight to ground — is also what makes the bias dangerously unstable. With no emitter resistor the gain becomes -gm·(Rc∥RL), which is large, but it now depends directly on the internal emitter resistance re = 26 mV/Ic. Since re moves with the collector current and with temperature, any drift in operating point changes the gain, and worse, the bias point itself can run away as the transistor heats up. That is why a bare grounded-emitter stage is rarely used on its own.
Adding an emitter resistor (emitter degeneration) fixes the stability at the cost of gain. The resistor introduces local negative feedback: if the current tries to rise, the voltage across Re rises and pushes back on the base-emitter junction, holding the operating point steady against temperature and device-to-device β spread. It also raises the input impedance to roughly rπ + (β+1)·Re and linearises the stage, lowering distortion. The classic compromise is to size Re for solid DC bias and then bridge it at signal frequencies with a bypass capacitor, so the stage runs the stable degenerated current but sees the high bypassed gain in its passband — you get DC stability and AC gain from the same circuit. Above a few hundred kilohertz the Miller effect (collector-base capacitance multiplied by the gain) eventually rolls the response off, which is the limitation that pushed designers toward cascode and op-amp topologies.
About the Common Emitter Amplifier Calculator
The Common Emitter Amplifier Calculator is a simple, free helper for electronics and circuit design that runs entirely on your own device. Compute voltage gain, input/output impedance, and bandwidth of a common-emitter BJT amplifier with emitter degeneration.
How it works
Enter your figures and the result appears instantly, updating the moment you change anything. There is no submit button and nothing to wait for, so it is easy to try a few what-if numbers and compare the results. Just check each box holds the kind of value it expects.
Want the deeper story? The Knowledge Base explains the ideas behind the tools in more detail.
Frequently Asked Questions
Why CE?
Highest voltage gain topology (factors of 50-500). Inverts signal. Moderate Zin, high Zout. The standard signal-amplifier building block.
Emitter bypass?
Re adds DC bias stability but limits gain. Adding a bypass cap (Ce) across Re gives high AC gain while preserving DC bias — the classic CE+bypass configuration.
Miller effect?
Collector-base capacitance Ccb appears at input multiplied by (1+Av), limiting bandwidth. High-gain CE amps are bandwidth-limited; use cascode topology to eliminate Miller.
How do I use the Common Emitter Amplifier Calculator?
Just type your numbers. The answer shows up right away — there is no button to press. Change anything and it updates by itself.
Does it cost anything or need an account?
No. The tool is completely free, there is no account to create, and it keeps working offline after the page first loads.
Is anything I type uploaded?
No. The tool works entirely on your device, so the values you enter never leave your browser.
Common Use Cases
Microphone Preamp
Av = -50, Zin = 1 kΩ, Zout = 10 kΩ. Classic preamp stage.
Video Buffer
Low-gain, wide-band CE with small Rc and no Re bypass.
Classic Radio IF
1950s-60s superheterodyne IF stages used cascaded CEs.
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