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PN Junction Built-In Potential & Depletion Width Calculator

Easily calculate and compute pn junction built-in potential & depletion width calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
0.91 um

Depletion Layer Width W

Depletion Layer Width W

0.91 um

Depletion Width Um

0.906

Built In Potential V

0.774

Peak Electric Field Kv Per Cm

127.4

Junction Capacitance Ff

114.31

0.91 — um

Calculation Breakdown

  1. Applied FormulaCalculates the equilibrium built-in contact potential Vbi, total depletion space-charge layer width W, junction capacitance Cj, and peak electric field for a silicon PN junction diode.V_{\text{bi}} = \frac{k_B T}{q}\ln\left(\frac{N_A N_D}{n_i^2}\right), \quad W = \sqrt{\frac{2 \epsilon_s}{q}\left(\frac{1}{N_A} + \frac{1}{N_D}\right)(V_{\text{bi}} - V)}

PN Junction Vbi & W_dep Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Depletion Layer Width W

What Is the PN Junction Built-In Potential & Depletion Width Calculator?

This tool computes pn junction built-in potential & depletion width calculator with high precision arithmetic.

How Does the PN Junction Built-In Potential & Depletion Width Calculator Work?

Calculates the equilibrium built-in contact potential Vbi, total depletion space-charge layer width W, junction capacitance Cj, and peak electric field for a silicon PN junction diode.

PN Junction Built-In Potential & Depletion Width Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Vbi=kBTqln⁡(NANDni2),W=2ϵsq(1NA+1ND)(Vbi−V)V_{\text{bi}} = \frac{k_B T}{q}\ln\left(\frac{N_A N_D}{n_i^2}\right), \quad W = \sqrt{\frac{2 \epsilon_s}{q}\left(\frac{1}{N_A} + \frac{1}{N_D}\right)(V_{\text{bi}} - V)}

Calculates the equilibrium built-in contact potential Vbi, total depletion space-charge layer width W, junction capacitance Cj, and peak electric field for a silicon PN junction diode.

How to Use the PN Junction Built-In Potential & Depletion Width Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

PN Junction Built-In Potential & Depletion Width Calculator Example

Input Values:

acceptorNaCm3:100000000000000000
donorNdCm3:10000000000000000
reverseBiasVrVolts:5
junctionAreaUm2:1000
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required um.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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