Bipolar transistors
In a common-emitter amplifier with transconductance gm = 40 mS and collector resistor RC = 5 kΩ, roughly what is the magnitude of the voltage gain? (Ignore the load.)
- AAbout 2,000
- BAbout 200
- CAbout 8
Show answer and explanation
Answer: B. About 200
The small-signal voltage gain of a common-emitter amplifier is Av ≈ −gm × RC, whose magnitude is 40 mS × 5 kΩ = 0.04 × 5,000 = 200. The minus sign indicates that the output is inverted relative to the input.
- A. About 2,000 is an order of magnitude too large.
- B. Correct. gm × RC = 0.04 S × 5,000 Ω = 200.
- C. About 8 comes from converting the units of gm and RC incorrectly.