$g_m = I_C / V_T$ ($V_T \approx 26\,\text{mV}$). RE=0 maximizes gain but reduces bias stability.
Compute the DC operating point (VCE, IC), voltage gain, and load line of a BJT amplifier. Adjust VCC, resistors, and β in real time.
$g_m = I_C / V_T$ ($V_T \approx 26\,\text{mV}$). RE=0 maximizes gain but reduces bias stability.
The DC operating point (Q-point) is determined by the bias network and Kirchhoff's laws. The key is to find the collector current I_C.
$$V_B = V_{CC}\frac{R_2}{R_1 + R_2}$$ $$V_E = V_B - V_{BE}\quad \text{(where }V_{BE}\approx 0.7V\text{)}$$ $$I_C \approx I_E = \frac{V_E}{R_E}$$ $$V_{CE}= V_{CC}- I_C (R_C + R_E)$$V_B: Base voltage set by divider. V_E: Emitter voltage. I_C: DC Collector current (the "bias current"). V_CE: Collector-Emitter voltage, which must be positive and in the middle of the supply for maximum swing.
The small-signal voltage gain tells you how much an AC input signal is amplified. It depends on the transconductance g_m, which is set by the DC bias current I_C.
$$g_m = \frac{I_C}{V_T}\quad (V_T \approx 26\,\text{mV})$$ $$A_v = -\frac{g_m R_C}{1 + g_m R_E}$$g_m: Transconductance, how effectively the transistor converts input voltage to output current. A_v: Voltage gain. The negative sign indicates signal inversion. The term (1 + g_m R_E) shows how R_E reduces the available gain for improved stability.
Audio Preamplifiers: The first amplification stage in a microphone or guitar amplifier often uses a common-emitter circuit. It boosts the tiny millivolt signal from the transducer to a level suitable for further processing, with the gain set by R_C and R_E.
Radio Frequency (RF) Amplifiers: In simple radio receivers, a common-emitter stage can amplify the weak signal picked up by the antenna. Careful biasing is crucial here to maintain linearity and avoid distorting the radio signal.
Sensor Signal Conditioning: Sensors like thermocouples or photodiodes produce very small currents or voltages. A common-emitter amplifier with stable bias converts this into a larger, more usable voltage for an analog-to-digital converter.
Oscillator Circuits: By feeding back a portion of the output signal to the input with the correct phase (aided by the 180° inversion of this stage), a common-emitter amplifier can be made to oscillate, forming the core of simple signal generators.
First, the idea that "you can just keep increasing Rc to raise the gain" is problematic. While the gain does increase mathematically, the VCE at the Q-point becomes too small, pushing the collector-emitter junction close to saturation. For example, with Vcc=12V and Rc=10kΩ, if IC=1mA then VCE is only about 2V. In this state, the transistor will fully saturate on the negative half-cycle of the input signal, clipping the bottom half of the waveform and causing severe distortion. Next, the notion that "an emitter resistance Re of 0Ω gives the highest gain" is also a misconception. Setting Re to zero means variations in transistor characteristics due to temperature changes (like VBE drift) directly affect IC, making the Q-point extremely unstable. In practice, you balance stability and gain, typically setting Re to several hundred ohms to around 1kΩ for an IC of 1mA. Finally, note that the "frequency response" in this simulator is primarily about the mid-band gain. The Bode plot you see with this tool mainly visualizes the high and low-frequency cutoffs caused by the coupling capacitors, not the transistor's own frequency characteristics. Real transistors have a performance limit called ft (transition frequency), which fundamentally constrains the high-frequency extension of audio amplifiers and the design of RF circuits.
Design a 2N2222 common-emitter stage with VCC = 12 V, RC = 2.2 kΩ, RE = 470 Ω, R1 = 47 kΩ, and β = 150. The simulator calculates: VCE ≈ 6.8 V (midpoint biasing), IC ≈ 2.4 mA (quiescent current), Av ≈ −28 V/V (voltage gain), and gm ≈ 92 mS (transconductance). Increasing RC to 4.7 kΩ raises Av to −62 V/V but shifts the Q-point higher, requiring R1 adjustment to maintain VCE in the active region (2–10 V).