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
-
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: …
- KEAM 2026Set eng-2026-04174 marksMCQQ.When a PN junction diode is forward biased, the CORRECT statement is (A) the majority carrier current is zero (B) the junction resistance is large (C) the width of depletion layer is reduced (D) the width of depletion layer is increased (E) the minority carrier current is large
›Reveal solutionSolution
Forward biasing lowers the potential barrier, narrows the depletion region, and lets a large majority-carrier current flow.
Under forward bias the external field opposes the junction's built-in potential. This pushes majority carriers toward the junction, neutralising some of the immobile charge in the depletion region, so the depletion layer width decreases and the barrier potential drops. Consequently the junction resistance is low and a large majority-carrie …
- KEAM 2026Set eng-2026-04184 marksMCQQ.Choose the correct statement (A) An intrinsic semiconductor has trivalent or pentavalent impurities. (B) Pure Ge or Si is an extrinsic semiconductor. (C) The conductivity of a semiconductor can be increased by reducing its temperature. (D) A rectifier circuit does not use p-n junction diodes. (E) The potential barrier in a forward biased p-n junction gets reduced.
›Reveal solutionSolution
Forward biasing lowers the junction's potential barrier; the other statements misdescribe intrinsic/extrinsic semiconductors, conductivity, and rectifiers.
Evaluating each option:
- (A) False — an extrinsic (doped) semiconductor has trivalent/pentavalent impurities; intrinsic is pure.
- (B) False — pure Ge or Si is an intrinsic semiconductor.
- (C) False — semiconductor conductivity increases with temperature. …
- KEAM 2026Set eng-2026-04204 marksMCQQ.Identify the incorrectly matched pair about the characteristics of a pn junction diode (A) Cut-in voltage – Voltage up to which voltage-independent reverse current exists (B) Reverse bias - Leakage current region below breakdown voltage (C) No bias - No net current due to diffusion and drift (D) Breakdown Voltage - Sudden large current due to avalanche effect occurs (E) Forward bias - moderate ohmic region above barrier voltage
›Reveal solutionSolution
The cut-in voltage is a forward-bias threshold, not a reverse-current region — so pair (A) is the incorrectly matched one.
Assess each pair:
- (A) Cut-in voltage described as the voltage up to which a voltage-independent reverse current exists — wrong; cut-in (threshold) voltage is the forward voltage beyond which the diode conducts strongly. The description actually fits the reverse-saturation region.
- (B) Reverse bias — small leakage current below breakdown. Correct. …
- KEAM 2026Set eng-2026-04224 marksMCQQ.If 5 mA current is drawn from the voltage source in the circuit connected with two resistors each of 2.4 kΩ and four ideal diodes, then the source voltage is (A) 12 V (B) 6 V (C) 24 V (D) 10 V (E) 8 V
›Reveal solutionSolution
The upper branch is blocked by its reverse-biased diode, so the entire 5 mA passes through the lower branch's single 2.4 kΩ resistor (ideal diodes drop 0 V): V=IR=12 V. …
- KEAM 2025Set eng-2025-04234 marksMCQQ.The reverse biasing in a junction diode, (A) increases the number of majority charge carriers (B) increases the number of minority charge carriers (C) reduces the number of minority charge carriers (D) decreases the potential barrier (E) increases the potential barrier
›Reveal solutionSolution
Reverse biasing a junction diode increases the potential barrier at the junction.
Concept and Intuition
In reverse bias the external field aligns with the built-in junction field, widening the depletion region and raising the potential barrier. This suppresses majority-carrier flow, allowing only a tiny minority-carrier (reverse saturation) current.
Step-by-Step Solution
- Reverse bias adds to the built-in field.
- Depletion width increases.
- Potential barrier height increases.
Common Mistakes …
- KEAM 2025Set eng-2025-04264 marksMCQQ.A pn junction diode without any voltage biasing acts as a (A) rectifier (B) resistor (C) ac generator (D) voltage regulator (E) transformer
›Reveal solutionSolution
[!TLDR]
With no external bias to switch it between conducting and blocking, a pn junction diode has no rectifying action and merely presents an ohmic resistance.
Concept
A pn junction develops a depletion region and a built-in potential at equilibrium. Its device functions (rectification, voltage regulation, etc.) all depend on an applied bias that either lowers the barrier (forward) or widens it (reverse). Remove the bias and none of those functions can operate.
Solution
- Rectifier (A): needs an alternating applied voltage so the diode is alternately forward- and reverse-biased; impossible with no bias.
- AC generator (C): a diode cannot generate emf.
- Voltage regulator (D): a Zener diode regulates only when reverse-biased in breakdown. …
- KEAM 2025Set eng-2025-04284 marksMCQQ.The I-V characteristic of a semiconductor diode in forward bias is a/an: (A) straight line (B) parabolic curve (C) exponentially decreasing curve (D) exponentially increasing curve (E) sinusoidal curve
›Reveal solutionSolution
In forward bias the diode current increases exponentially with applied voltage.
The diode equation I=I0(eeV/kT−1) gives, for forward bias (V>0), a current that rises exponentially with voltage. Hence the I–V charact …
- KEAM 2025Set pha-2025-0424A4 marksMCQQ.If a diode is forward biased, then the (A) p-n junction provides very low resistance (B) width of the depletion layer increases (C) potential barrier increases (D) amount of current flow is in the range of microampere (E) current flow is due to minority carriers only
›Reveal solutionSolution
Forward bias narrows the depletion region and lowers the barrier, giving the junction very low resistance.
When a p–n junction diode is forward biased (p connected to +, n to −):
- the applied field opposes the built-in field, so the depletion layer narrows;
- the potential barrier decreases;
- majority carriers cross the junction easily, giving a large forward current (milliamperes);
- the junction therefore presents very low resistance. …
- KEAM 2024Set eng-2024-06064 marksMCQQ.An external voltage V is supplied to a semiconductor diode having built-in potential VO. The effective barrier height under forward bias is (A) V0+V (B) (2V0+V) (C) V0−V (D) (2V0−V) (E) 2V0+V
›Reveal solutionSolution
Under forward bias the applied voltage subtracts from the built-in potential: barrier =V0−V.
The built-in potential V0 opposes majority-carrier flow. A forward-bias voltage V is applied so as to oppose V0, reducing the net potential acros …
- KEAM 2024Set eng-2024-06074 marksMCQQ.When a diode is reverse biased (A) applied voltage in the p - side is positive (B) the depletion layer width decreases (C) the applied voltage is in the opposite direction of barrier potential (D) minority carriers are not allowed to cross the barrier (E) the barrier height increases
›Reveal solutionSolution
In reverse bias the external voltage aids the built-in field, widening the depletion region and increasing the barrier height.
Under reverse bias the p-side is made negative and the n-side positive, so the applied field is in the same direction as the built-in barrier field (not opposite). This widens the depletion layer and raises the potential barrier. Hence the correct statement is that the barrier height …
- KEAM 2024Set pha-2024-06104 marksMCQQ.In a p-n junction diode, reverse biasing (A) increases the number of majority charge carriers (B) decreases the number of minority charge carriers (C) increases the potential barrier (D) decreases the potential barrier (E) increases the number of both majority and minority charge carriers
›Reveal solutionSolution
Reverse biasing opposes majority-carrier flow and increases the barrier.
In reverse bias, the external field aids the built-in field of the junction. This widens the depletion layer and increases the potential barrier, so majority-carrier current is (nearly) blocked; only a small minority-carrier reverse (leakage) current flows. It …
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