Introduction / Context:
Cut-in (or knee/threshold) voltage is the approximate forward voltage where a diode begins conducting appreciable current. Germanium and silicon have different bandgaps, so their forward characteristics differ noticeably in low-current circuits and rectifiers.
Given Data / Assumptions:
- Room temperature operation.
- Common small-signal/rectifier diode behavior, not Schottky or special-purpose diodes.
- We are after typical nominal values.
Concept / Approach:Due to a smaller bandgap, germanium diodes typically conduct at a lower forward voltage than silicon. Textbook nominal values widely used are about 0.3 V for Ge and about 0.7 V for Si under modest current levels.
Step-by-Step Solution:1) Identify material: Ge vs. Si.2) Recall typical thresholds: Ge ≈ 0.3 V, Si ≈ 0.7 V.3) Match with the option set.Verification / Alternative check:Datasheets and lab experiments consistently show lower forward drops for Ge. Silicon’s higher drop is standard in rectifier and logic diode tutorials.
Why Other Options Are Wrong:- 0.7 V and 0.3 V: reversed order.
- 0.6 V and 0.9 V: too high for Si and unusually high for Ge.
- 0.5 V and 0.7 V: Ge value is too high.
- 0.2 V and 0.4 V: unrealistically low for typical room-temperature conduction points.
Common Pitfalls:- Confusing Schottky diodes (lower drops) with Ge/Si PN diodes.
- Assuming constant drop; actual forward voltage depends on current and temperature.
Final Answer:0.3 V (Ge) and 0.7 V (Si) (Option A).
Discussion & Comments