Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 376 of 494
When a silicon diode conducts in its forward-biased region well above the knee voltage (e.g., \( V_f > 0.8\text{ V} \)), its forward dynamic resistance (\( r_d \)):
A
Increases toward infinity, blocking further current flow
B
Approaches a very small value, typically between \( 1\text{ }\Omega \) and \( 25\text{ }\Omega \)
C
Remains fixed at its reverse-bias value of several mega-ohms
D
Becomes purely imaginary and causes high-frequency self-oscillation
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: Approaches a very small value, typically between \( 1\text{ }\Omega \) and \( 25\text{ }\Omega \)
Concept:

Above the knee voltage, the internal potential barrier is fully overcome. The dynamic resistance is then determined primarily by the small resistance of the neutral bulk semiconductor regions.

Formula:

$$r_d = \frac{\Delta V_f}{\Delta I_f} = \frac{\eta V_T}{I_f} + r_{\text{bulk}} \approx r_{\text{bulk}} \quad (\text{at high } I_f)$$

Solution:

  • As forward current \( I_f \) increases into the tens of milliamperes, \( \frac{\eta V_T}{I_f} \) becomes very small.


  • The dynamic resistance approaches the small bulk resistance of the semiconductor material, typically between \( 1\text{ }\Omega \) and \( 25\text{ }\Omega \).


  • The forward I-V curve becomes steep and nearly linear in this region.


Why other options are incorrect:

  • Option A: Dynamic resistance decreases with increasing forward current rather than approaching infinity.
  • Option C: Mega-ohm resistance values occur under reverse bias, not forward bias.
  • Option D: The forward dynamic resistance is a real ohmic quantity representing resistive dissipation.

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