Transistor Transconductance

gm = Ic / VT

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Result

Formula

gm = Ic / VT

Description

Transconductance measures how strongly a transistor’s output current responds to its input voltage. For a bipolar transistor it equals the collector current divided by the thermal voltage, so it is set purely by bias current. It is the core gain parameter of a stage: voltage gain equals gm times the load resistance, and it sets the bandwidth and noise of the amplifier.

Variables

  • gm — Transconductance (S = A/V)
  • Ic — Collector bias current (A)
  • VT — Thermal voltage (≈25–26 mV)

Practical Notes

At 1 mA, gm ≈ 38 mS. Unlike a FET, a BJT’s gm is set by current alone, giving very predictable gain. Voltage gain Av = −gm·RC.