Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 4 of 494
Under standard operating conditions, the forward dynamic resistance of a silicon \(\text{p-n}\) junction diode beyond its knee voltage is typically on the order of:
A
A few mega-ohms (\(\text{M}\Omega\))
B
A few kilo-ohms (\(\text{k}\Omega\))
C
Zero ohms at all current levels
D
A few ohms (\(\Omega\)) to tens of ohms
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: A few ohms (\(\Omega\)) to tens of ohms
Concept:

Once the applied forward bias voltage exceeds the junction threshold (knee voltage), the potential barrier is largely overcome, allowing large increases in forward current for very small increases in voltage, resulting in a very low forward dynamic resistance.

Formula:

$$r_f = \frac{\Delta V_f}{\Delta I_f}$$

Solution:

  • Beyond the threshold voltage (\(0.7\text{ V}\) for Si, \(0.3\text{ V}\) for Ge), the \(I\)-\(V\) characteristic curve becomes nearly vertical.


  • The dynamic resistance \(r_f = \Delta V_f / \Delta I_f\) falls to a range of approximately \(1\text{ to }25\,\Omega\).


Why other options are incorrect:

  • Option A: Mega-ohm resistance is characteristic of a reverse-biased diode.
  • Option B: Kilo-ohm resistance occurs only at voltages well below the knee threshold.
  • Option C: A real diode contains bulk semiconductor and contact resistance, so resistance is never identically zero.

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