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Paschen’s Law Gas Spark Breakdown Voltage Calculator

Easily calculate and compute paschen’s law gas spark breakdown voltage calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
5,035 V

Spark Breakdown Voltage (V_B)

Spark Breakdown Voltage (V_B)

5,035 V

Spark Breakdown Voltage Volts

5035

Spark Breakdown Kilo Volts

5.03

Dielectric Breakdown Field K V Per Mm

5.03

Pressure Gap Product Torr Cm

76

5,035 — V

Calculation Breakdown

  1. Applied FormulaCalculates the electrostatic dielectric spark breakdown voltage in gases as a function of the pressure-gap product (p·d) using Paschen’s Law constants A, B, and Townsend secondary coefficient gamma.V_B = \frac{B \cdot p d}{\ln(A \cdot p d) - \ln\left(\ln(1 + 1/\gamma_{\text{se}})\right)}, \quad V_{B,\text{min}} \approx 327 \text{ V in air}

Paschen Law Breakdown Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.3k2.5k3.8k5.0kSpark Breakdown Voltage (V_B)

What Is the Paschen’s Law Gas Spark Breakdown Voltage Calculator?

This tool computes paschen’s law gas spark breakdown voltage calculator with high precision arithmetic.

How Does the Paschen’s Law Gas Spark Breakdown Voltage Calculator Work?

Calculates the electrostatic dielectric spark breakdown voltage in gases as a function of the pressure-gap product (p·d) using Paschen’s Law constants A, B, and Townsend secondary coefficient gamma.

Paschen’s Law Gas Spark Breakdown Voltage Calculator Formula & Variables

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

VB=B⋅pdln⁡(A⋅pd)−ln⁡(ln⁡(1+1/γse)),VB,min≈327 V in airV_B = \frac{B \cdot p d}{\ln(A \cdot p d) - \ln\left(\ln(1 + 1/\gamma_{\text{se}})\right)}, \quad V_{B,\text{min}} \approx 327 \text{ V in air}

Calculates the electrostatic dielectric spark breakdown voltage in gases as a function of the pressure-gap product (p·d) using Paschen’s Law constants A, B, and Townsend secondary coefficient gamma.

How to Use the Paschen’s Law Gas Spark Breakdown Voltage Calculator

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

Step-by-Step Example Calculation

Paschen’s Law Gas Spark Breakdown Voltage Calculator Example

Input Values:

pressureTorr:760
gapDistanceMm:1
gasTypeSelector:1
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required V.

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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