Electric Field Strength & Coulomb Force Calculator

Electrodynamics, Maxwell's Equations & Electric Field Metrology

Electric Field Strength is the electrostatic force experienced per unit positive test charge:

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• Universal Electric Field Conversion Formulas (SI Standards)**:

1 V/m 1 N/C = 10^-3 kV/m = 10^-6 MV/m = 0.010 V/cm

1 kV/cm = 100,000 V/m = 100 kV/m = 0.10 MV/m = 100 V/mm

1 MV/m = 1,000,000 V/m = 10 kV/cm = 1,000 kV/m

1 statV/cm = 29,979.25 V/m

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• Coulomb Force & Field Energy Density Equations**:

F = q × E (Coulomb Electrostatic Force in Newtons, N)

u_e = (1) / (2) _r _0 E^2

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• Standard Physical & Dielectric Field Benchmarks**:

• Cellular Tower RF Fringe: 1,000.0 µV/m 0.0010 V/m Weak radio reception

• Earth Natural Atmosphere: 120.0 V/m 0.120 kV/m Fair-weather ground gradient

• Ambient Air Breakdown: 3.0 MV/m 30.0 kV/cm Spark ionization limit

• Biological Cell Membrane: 10.0 MV/m 100.0 kV/cm 70 mV across 7 nm

• Silicon Dioxide Gate (SiO_2): 1,000.0 MV/m = 10.0 MV/cm Microchip gate limit

How to Use This Calculator

Enter your Electric Field Strength Magnitude (E) (e.g. 3.0 in E), From Electric Field Unit — choose from Megavolts per Meter (MV/m = 10⁶ V/m - Dielectric Breakdown), Volts per Meter (V/m = N/C - SI Base Unit), Kilovolts per Meter (kV/m = 1,000 V/m - Power Grid), To Electric Field Unit — choose from Kilovolts per Centimeter (kV/cm), Volts per Meter (V/m), Kilovolts per Meter (kV/m), Test Particle Charge (in elementary charges e⁻) (e.g. 1 in e⁻), Medium Dielectric Constant (ε_r, 1.0 = Air) (e.g. 1.0 in ε_r), and Physical & Dielectric Breakdown Benchmark — choose from Custom Electric Field, Ambient Air Breakdown Limit (3.0 MV/m = 30.0 kV/cm) → 3,000 kV/m | Spark / Arc breakdown threshold, Earth Fair-Weather Field (120.0 V/m downwards) → 0.120 kV/m | Natural atmospheric potential gradient. Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Coulomb Force on Particle: F = q * E (in Newtons)

Electrostatic Energy Density: u_e = 0.5 eps_r eps_0 * E^2 (in J/m^3)

Worked Example

A high-voltage engineer testing a switchgear busbar separated by a 1.0 cm air gap determines that applying 30 kV produces an electric field of 30.0 kV/cm, matching the exact threshold for dielectric breakdown sparking.

Understanding Your Result

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