PN Junction Voltage Calculator

Analyze diode voltage, current, built-in potential, depletion width, temperature behavior, series resistance, material presets, graphs, comparisons, and detailed calculation steps in seconds with accuracy.

Calculator inputs

Typical values range from one through two.
Positive values represent forward bias.

Advanced options

Values save locally after each change. Use clear saved values when needed.

Formula used

I = IS[eqV/(nkT) − 1]
V = n(kT/q) ln(I/IS + 1)
VT = kT/q
Vbi = VT ln(NAND/ni2)
W = √[(2εs/q)((NA+ND)/(NAND))(Vbi−VA)]
Vterminal = Vj + IRs

The Shockley equation models ideal diode behavior. Series resistance improves high-current voltage estimates. Real breakdown needs a separate physical device model.

How to use this calculator

  1. Select the calculation mode matching your unknown value.
  2. Choose a material preset or enter custom properties.
  3. Enter current, voltage, temperature, and saturation current.
  4. Add doping, permittivity, bias, and junction-area values.
  5. Enable comparison, resistance, or custom sweep options.
  6. Press calculate and review results, warnings, and graphs.
  7. Copy results or export them as CSV or PDF.

Use consistent physical inputs for meaningful results. Material presets provide practical starting values. Manufacturer data remains essential for final engineering decisions.

Example data

Example Material Current or voltage Temperature Main purpose
Silicon at 1 mASilicon1 mA25 °CForward voltage
Silicon at 10 mASilicon10 mA25 °CSeries loss comparison
Germanium junctionGermanium1 mA25 °CLower voltage material
High-temperature diodeSilicon1 mA125 °CTemperature influence
Reverse leakageSilicon−5 V25 °CReverse current estimate
Built-in potentialSilicon10¹⁶ cm⁻³ doping25 °CBarrier voltage
Depletion analysisSilicon5 V reverse bias25 °CWidth and field

Frequently asked questions

What is PN junction voltage?

It is the voltage across a semiconductor junction. Its value depends on current and temperature. Material properties also affect the measured operating voltage.

What is the built-in potential?

It is the equilibrium barrier inside the junction. Doping and intrinsic concentration determine its magnitude. No external current is required for its existence.

How is diode forward voltage calculated?

The calculator rearranges the Shockley diode equation. It uses current, saturation current, temperature, and ideality. Series resistance can increase the terminal voltage.

What is reverse saturation current?

It is a small model current parameter. It strongly affects calculated forward junction voltage. Temperature changes its real value substantially.

What does the ideality factor mean?

It adjusts the diode equation for recombination behavior. Ideal diffusion often approaches a value near one. Practical junctions commonly use values between one and two.

How does temperature affect junction voltage?

Thermal voltage rises as absolute temperature increases. Real saturation current also increases strongly. Device voltage usually falls at constant forward current.

Why is silicon voltage often near 0.7 volts?

That value is a common practical approximation. Actual voltage changes with current and device construction. Temperature and resistance also shift it.

What is thermal voltage?

Thermal voltage equals Boltzmann's constant times temperature, divided by charge. It is about 25.7 millivolts near room temperature. Diode equations scale voltage using this quantity.

What is depletion width?

It is the carrier-depleted region around the junction. Reverse bias usually makes this region wider. Doping and permittivity control the calculated width.

Does the Shockley equation include breakdown?

No, ordinary Shockley modeling excludes avalanche breakdown. Large reverse voltages therefore need another model. Heed the warning shown by this calculator.

Why can measured voltage differ from calculation?

Real devices include resistance, self-heating, and leakage. Parameters also vary between manufacturing batches. Use datasheets for final circuit design verification.

Engineering note

This calculator provides educational and preliminary engineering estimates. It does not replace verified semiconductor models. Confirm critical designs using manufacturer specifications and laboratory measurements.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.