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Question

Consider a p-n junction diode when it is forward biased with 2 V.
Which of the following is/are the correct magnitude(s) of the energy difference between quasi Fermi-levels, $E_{fn}$ in the n-side and $E_{fp}$ in the p-side?

The correct answer is
2 eV

Forward Bias p-n Junction Fermi Level Energy Difference

For a p-n junction diode under forward bias, the energy difference between the quasi-Fermi level for electrons ($E_{fn}$) and the quasi-Fermi level for holes ($E_{fp}$) is directly proportional to the applied bias voltage ($V$).

Quasi-Fermi Level Energy Difference Calculation

The relationship is defined by the equation:

$E_{fn} - E_{fp} = qV$

Where:

  • $E_{fn}$ is the quasi-Fermi level for electrons.
  • $E_{fp}$ is the quasi-Fermi level for holes.
  • $q$ is the elementary charge (magnitude of electron charge, $1e$).
  • $V$ is the applied forward bias voltage.

Applying Given Voltage

Given the forward bias voltage $V = 2$ V. Substituting this value into the equation:

$E_{fn} - E_{fp} = (1e) \times (2 \text{ V})$

The result is expressed in electron volts (eV) because the charge $q$ is $1e$.

$E_{fn} - E_{fp} = 2 \text{ eV}$

Conclusion

Therefore, the energy difference between the quasi-Fermi levels $E_{fn}$ and $E_{fp}$ is 2 eV when the p-n junction diode is forward biased with 2 V. This matches option A.

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Important Questions from PN Junction

  1. In a semiconductor diode, the cut-in voltage is the voltage:

  2. The leakage current in a pn junction is of the order of:

  3. Diode junction breakdowns above 5 V are caused by:

  4. The width of the depletion layer in a P-N junction diode

  5. ln a p-n junction diode the forward current

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