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Exercises · 14.5

Q.When a forward bias is applied to a p-n junction, it

(a) raises the potential barrier.
(b) reduces the majority carrier current to zero.
(c) lowers the potential barrier.
(d) None of the above.
Yanam BieapTextbookSubjective· 1mImportance★★★★★
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Forward bias reduces the potential barrier at a p-n junction, allowing majority carriers to flow easily across the junction. The correct option is (c).

Understanding P-N Junction Biasing

A p-n junction is formed when p-type and n-type semiconductors are joined. At the junction, electrons from the n-side diffuse into the p-side, and holes from the p-side diffuse into the n-side. This diffusion leaves behind immobile charged ions, creating a depletion region with an internal electric field. This field opposes further diffusion and gives rise to a potential barrier (typically about 0.7 V for silicon).

Now, biasing means applying an external voltage across the junction. The effect depends on the polarity:

  • Forward bias: p-side connected to positive terminal, n-side to negative terminal.
  • Reverse bias: p-side connected to negative terminal, n-side to positive terminal.

The key question is: what happens to the potential barrier in each case?

Step-by-Step Reasoning

  1. What the potential barrier represents

    The potential barrier is the voltage difference across the depletion region that prevents majority carriers from crossing freely. For a p-n junction, the built-in potential V0V_0 is determined by the doping concentrations and temperature. In equilibrium (no external bias), this barrier is fixed.

  2. Effect of forward bias on the barrier

    When forward bias is applied, the external voltage VfV_f opposes the internal electric field. The positive terminal repels holes in the p-side toward the junction, and the negative terminal repels electrons in the n-side toward the junction. This reduces the width of the depletion region and lowers the effective potential barrier to V0−VfV_0 - V_f.

    Vbarrier (forward)=V0−VfV_{\text{barrier (forward)}} = V_0 - V_f

    The barrier decreases as forward voltage increases.

  3. Consequence of lowering the barrier …

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