PN junctions and diodes
For an ideal diode (ideality factor n = 1) at room temperature, roughly how much must the forward voltage increase to raise the forward current tenfold?
- AAbout 6 mV
- BAbout 60 mV
- CAbout 600 mV
Show answer and explanation
Answer: B. About 60 mV
The forward current is proportional to exp(qV/kT), so increasing the current tenfold requires increasing V by kT/q × ln 10 ≈ 26 mV × 2.3 ≈ 60 mV. This is the origin of the rule of thumb of about 60 mV per decade.
- A. About 6 mV only raises the current by a factor of about 1.3.
- B. Correct. kT/q × ln 10 ≈ 60 mV.
- C. About 600 mV would raise the current by a factor of about 10¹⁰.