Q.When a forward bias is applied to a p-n junction, it
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P-N Junction Biasing: The First Meeting
Imagine you have two rooms separated by a door. One room is full of people who want to leave (electrons in the N-side), and the other room is full of empty chairs (holes in the P-side). The door is initially locked — that's the depletion region, a zone with no free charges. Now, what happens if you push on the door from one side, or pull it from the other? That's exactly what biasing does to a P-N junction.
The Unbiased Junction (The Starting Point)
When you bring P-type and N-type semiconductors together, something interesting happens at the boundary. Electrons from the N-side (which has extra electrons) rush toward the P-side (which has extra holes). Holes from the P-side rush toward the N-side. They meet and recombine — an electron falls into a hole, and both disappear as free charges.
This leaves behind a region near the junction with no free charges — just fixed positive ions on the N-side (where electrons left) and fixed negative ions on the P-side (where holes left). This is the depletion region. It acts like a tiny battery: the N-side is positive relative to the P-side, creating a built-in electric field that stops further diffusion. The voltage across this region is about 0.7 V for silicon, 0.3 V for germanium.
The depletion region is not a physical gap — it's a region depleted of mobile charge carriers. The crystal is still continuous.
Forward Bias: Pushing the Door Open
Connect the positive terminal of a battery to the P-side and the negative terminal to the N-side. This is forward bias.
What happens? The external battery's positive terminal repels holes in the P-side toward the junction. The negative terminal repels electrons in the N-side toward the junction. Both carriers are pushed toward each other — they overcome the built-in electric field. The depletion region shrinks.
When the applied voltage exceeds about 0.7 V (for silicon), the depletion region becomes so thin that carriers can cross freely. A large current flows. The junction is now "on" — like a switch closed.
Never apply forward bias without a current-limiting resistor. The junction has very low resistance once forward-biased, and the current can destroy it instantly.
Reverse Bias: Pulling the Door Shut
Now reverse the battery: positive to N-side, negative to P-side. This is reverse bias.
The positive terminal attracts electrons from the N-side away from the junction. The negative terminal attracts holes from the P-side away from the junction. Both carriers are pulled apart. The depletion region widens.
The built-in electric field is now reinforced by the external field. Only a tiny current flows — the reverse saturation current, caused by thermally generated electron-hole pairs in the depletion region. This current is typically in the nanoampere range and is almost independent of the applied voltage (until breakdown).
The junction is "off" — like a switch open.
In reverse bias, the depletion region acts as an insulator. The junction blocks current flow except for a negligible leakage current.
The Precise Statement
I=IS(enkTqV−1)
This is the Shockley diode equation. Here:
- I = diode current
- IS = reverse saturation current (very small, typically 10−12 to 10−15 A for silicon)
- q = electron charge (1.6×10−19 C)
- V = applied voltage (positive for forward bias, negative for reverse bias)
- n = ideality factor (1 for ideal, 1–2 for real diodes)
- k = Boltzmann constant (1.38×10−23 J/K) …
Why this formula?
Why a PN Junction Biases the Way It Does
A PN junction is not a resistor. Its current-voltage behaviour is fundamentally asymmetric — and that asymmetry comes directly from the physics of the depletion region and the energy barrier it creates.
The Unbiased Junction: A Built-in Barrier
When P-type and N-type semiconductors are joined, holes from the P-side diffuse into the N-side, and electrons from the N-side diffuse into the P-side. This diffusion leaves behind fixed, charged ions: negative acceptor ions on the P-side, positive donor ions on the N-side. These ions create an electric field that opposes further diffusion.
The result is a depletion region — a zone with no free carriers — and a built-in potential V0 across it. This potential acts as an energy barrier that prevents net current flow at equilibrium.
At equilibrium (zero bias), the net current is zero. The diffusion current (due to concentration gradient) is exactly balanced by the drift current (due to the built-in electric field).
Forward Bias: Lowering the Barrier
Apply a positive voltage V to the P-side relative to the N-side. This external voltage opposes the built-in potential. The net barrier becomes:
Vnet=V0−V
The depletion width shrinks. More importantly, the energy barrier for majority carriers (holes from P-side, electrons from N-side) is reduced. A larger number of carriers now have enough energy to cross the junction.
The current that flows is diffusion current — carriers injected across the junction become minority carriers on the other side, where they recombine. The relationship is exponential because the number of carriers with energy above the barrier follows a Boltzmann distribution.
I=I0(eqV/kT−1)
Here I0 is the reverse saturation current (very small), q is the electron charge, k is Boltzmann's constant, and T is absolute temperature.
Why the exponential? The fraction of carriers with enough energy to surmount a barrier of height q(V0−V) is proportional to e−q(V0−V)/kT. At equilibrium (V=0), this gives a current that exactly cancels the drift current. When V>0, the barrier drops, and the net current becomes proportional to eqV/kT.
Reverse Bias: Raising the Barrier
Apply a negative voltage to the P-side relative to the N-side. Now the external voltage adds to the built-in potential:
Vnet=V0+VR
The barrier becomes higher. The depletion region widens. Diffusion of majority carriers is almost completely suppressed. The only current that flows is a tiny reverse saturation current I0, carried by minority carriers (electrons from the P-side, holes from the N-side) that are swept across by the electric field.
This current is essentially constant with voltage because the number of minority carriers is fixed by thermal generation — it does not depend on the barrier height once the barrier is large enough to block majority carriers. …
The key idea is P-N junction biasing: forward bias reduces the built-in potential barrier, allowing majority carriers to flow across the junction.
- In a p-n junction, the built-in potential barrier opposes the diffusion of majority carriers (holes from p-side, electrons from n-side). …
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
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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 V0 is determined by the doping concentrations and temperature. In equilibrium (no external bias), this barrier is fixed.
-
Effect of forward bias on the barrier
When forward bias is applied, the external voltage Vf 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−Vf.
Vbarrier (forward)=V0−Vf
The barrier decreases as forward voltage increases.
-
Consequence of lowering the barrier …
Method: Energy-Band / Barrier-Height Analysis
This is the most direct way to think about biasing effects on a p-n junction. The key idea is that the potential barrier at the junction is what prevents majority carriers from crossing freely.
Step 1 – Recall the unbiased state.
In an unbiased p-n junction, diffusion of majority carriers (holes from p-side, electrons from n-side) creates a depletion region. The built-in potential V0 (typically 0.6–0.7 V for silicon) acts as a barrier that stops further net diffusion.
Step 2 – Apply forward bias.
Forward bias means connecting the p-side to the positive terminal of a battery and the n-side to the negative terminal. This external voltage VF opposes the built-in field.
Step 3 – Determine the net barrier.
The effective barrier height becomes V0−VF. Since VF is positive, the barrier decreases. For example, if V0=0.7 V and VF=0.5 V, the net barrier is only 0.2 V.
Step 4 – Consequence.
A lower barrier allows more majority carriers to diffuse across the junction, producing a large forward current. The barrier is not raised — it is lowered. …
The most common mistake here is picking (a) — "raises the potential barrier." That error comes from mixing up forward and reverse bias. In forward bias, the external voltage opposes the built-in field, so the barrier drops, not rises. Students often memorise "bias increases barrier" without checking direction.
Another frequent error is choosing (b) — "reduces the majority carrier current to zero." That would describe a reverse bias condition where current is nearly zero. In forward bias, majority carriers are pushed across the junction, so current actually increases sharply.
The correct answer is (c) — forward bias lowers the potential barrier.
Do not confuse "forward" with "reverse." Forward bias = barrier lowered, current flows. Reverse bias = barrier raised, current blocked (except leakage).
To avoid these mistakes: …
- GUJCET 2026Set x1 markMCQQ.When a forward bias is applied to a p-n junction. It ______. (A) raises the potential barrier (B) lowers the potential barrier (C) reduces the majority carrier current to zero (D) none of the above
›Reveal solutionSolution
Forward bias lowers the potential barrier of a p–n junction.
The depletion region carries a built-in potential barrier V0. In forward bias the external field opposes the built-in field, reducing the net barrier to V0−V. This narrows the depletion layer and allows …
- GSEB Higher Secondary Certificate (HSC) Examination 2026Set ANNUAL1 markMCQQ.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
›Reveal solutionSolution
Forward bias connects the p-side to the positive terminal and n-side to the negative terminal, so the applied field opposes the junction's internal built-in field, reducing the potential barrier at the depletion region.
At equilibrium, a p-n junction has a built-in potential barrier (due to the depletion region) that opposes further diffusion of majority carriers. Applying forward bias pushes holes in the p-region and electrons in the n-region toward the junction, opposing a …
- GUJCET 2025Set 031 markMCQQ.When a reverse bias is applied to a p-n junction, it ______. (A) increases the majority carrier current and lowers the potential barrier (B) increases the majority carrier current (C) lowers the potential barrier (D) raises the potential barrier
›Reveal solutionSolution
Reverse bias adds to the built-in barrier, so it is raised (and only tiny minority-carrier current flows).
Concept — biasing a p–n junction. In reverse bias the external field is in the same direction as the junction's built-in field.
Steps.
- The depletion layer widens.
- The potential barrier increases (is raised). …
- GSEB Higher Secondary Certificate (HSC) Examination 2025Set ANNUAL1 markMCQQ.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
›Reveal solutionSolution
Forward bias connects the p-side to the positive terminal and n-side to the negative terminal, opposing the junction's built-in field.
…
- GSEB Higher Secondary Certificate (HSC) Examination 2024Set ANNUAL1 markMCQQ.When a forward bias is applied to a p-n junction it ___.(a) raises the potential barrier(b) reduces the majority carrier to zero(c) lowers the potential barrier(d) potential barrier remain same
›Reveal solutionSolution
Forward bias connects the p-side to the positive terminal and n-side to the negative terminal of the battery, opposing the built-in field at the junction.
The applied forward voltage drives majority carriers toward the junction, narrowing the depletion region and reducing the height of the potential barrier, which allows current …
- GSEB Higher Secondary Certificate (HSC) Examination 2023Set ANNUAL1 markMCQQ.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
›Reveal solutionSolution
Forward bias opposes the built-in field, so the potential barrier at the junction is lowered and majority-carrier current increases sharply.
In a p-n junction, the depletion region has a built-in potential barrier. Applying forward bias (p to +, n to -) sets up an external field opposing the built-in field, so the net barrier is reduced.
…
- GUJCET 2022Set 171 markMCQQ.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
›Reveal solutionSolution
Forward bias opposes the built-in field, so it lowers the potential barrier and increases majority-carrier current.
Concept: In forward bias the external field opposes the junction's built-in barrier field, narrowing the depletion region and reducing the barrier height, whic …
- GSEB Higher Secondary Certificate (HSC) Examination 2022Set ANNUAL1 markMCQQ.When a p-n junction is given forward bias, then it ______.(a) increases the potential barrier(b) decreases the flow of majority carriers(c) decreases the potential barrier(d) none of the given options
›Reveal solutionSolution
Forward biasing a p-n junction (p to +, n to -) opposes the internal field of the depletion region, narrowing it and lowering the potential barrier.
At equilibrium (no bias), a depletion region forms at the p-n junction with a built-in potential barrier that opposes further diffusion of majority carriers.
When forward biased, the external battery's field points from n to p — opposite to the internal junction field. This:
- Reduces the net electric field across the junction. …
- GUJCET 2020Set 071 markMCQQ.In diode, Increasing the Forward voltage, the thickness of depletion layer ______. (A) Decreases (B) Does not change (C) Increases (D) Cannot be decided
›Reveal solutionSolution
Forward voltage opposes the barrier field, shrinking the depletion layer.
Concept: In forward bias the applied voltage reduces the built-in potential barrier, allowing majority carriers to cross the junction. This narrows the depletion (space-charge) …
- GSEB Higher Secondary Certificate (HSC) Examination 2020Set ANNUAL1 markMCQQ.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
›Reveal solutionSolution
Forward bias connects the external field opposite to the junction's built-in field, so it lowers (not raises) the potential barrier and allows majority-carrier current to flow easily.
In forward bias, the p-side is connected to the positive terminal and the n-side to the negative terminal of the battery. This drives majority carriers (holes from p, electrons from n) toward the junction, …
- GUJCET 2014Set A1 markMCQQ.In a zener diode, the reverse bias voltage is 3V and the width of the depletion region is 300 A°, the electric field intensity will be __________ V/cm. (A) 104 (B) 106 (C) 108 (D) 10−2
›Reveal solutionSolution
[!TLDR]
E=106 V/cm.
Concept
Inside a thin depletion region the field is approximately uniform, E=V/d, where V is the voltage across it and d its width. Note 1A˚=10−10 m and 1V/m=10−2V/cm.
Solution
d=300 A˚=300×10−10m=3×10−8m. …
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