Permittivity Converter

Convert between permittivity units including F/m, pF/m, nF/m, and more.

8.854 pF/m =

8.854000e-12

Farads per meter (F/m)

8.854 pF/m in all units

Farads per meter (F/m)8.854000e-12
Picofarads per meter (pF/m)8.854
Nanofarads per meter (nF/m)0.008854
Microfarads per meter (uF/m)0.000009
Farads per centimeter (F/cm)8.854000e-14
Picofarads per cm (pF/cm)0.08854
Abfarads per cm (abF/cm)8.854000e-23
Statfarads per cm (statF/cm)0.079579

Quick Reference

Vacuum (epsilon_0)

8.854e-12 F/m

Symbol

epsilon (permittivity)

Relation

epsilon = epsilon_r * epsilon_0

Also

D = epsilon * E

What is Electric Permittivity?

Electric permittivity (ε) is a measure of how easily a material can be polarized by an electric field, effectively describing how much the material resists the formation of an electric field within it. It is a fundamental property in electromagnetism that determines the capacitance of capacitors, the propagation of electromagnetic waves, and the behavior of electric fields in different media.

Permittivity is expressed in Farads per meter (F/m) in the SI system. The permittivity of free space (vacuum), denoted ε₀, is a physical constant equal to approximately 8.854 × 10⁻¹² F/m. Materials with permittivity greater than ε₀ are called dielectrics, and they are used in capacitors to increase capacitance without increasing physical size.

The relationship between permittivity and electric displacement is expressed as D = εE, where D is the electric displacement field and E is the electric field strength. The relative permittivity (εᵣ), also known as the dielectric constant, is the ratio of a material's permittivity to that of vacuum: εᵣ = ε/ε₀. This dimensionless number is commonly used to specify dielectric materials in electronics.

Permittivity Relationships

Permittivity relates to electric displacement and field strength through a fundamental electromagnetic equation.

Electric Permittivity Formula

D = ε × E, where ε = ε₀ × εᵣ

Where:

  • D= Electric displacement field (C/m²)
  • ε= Absolute permittivity of the material (F/m)
  • ε₀= Permittivity of free space (8.854 × 10⁻¹² F/m)
  • εᵣ= Relative permittivity / dielectric constant (dimensionless)
  • E= Electric field strength (V/m)

Permittivity of Common Materials

Understanding relative permittivity values helps in selecting materials for electronic applications.

Material Relative Permittivity (εᵣ) Common Use
Vacuum1 (exactly)Reference standard
Air1.0006Approximately vacuum
Paper3.7Capacitor dielectric
Glass4-10Varies by type
Silicon11.7Semiconductor substrate
Water80.1High dielectric constant

How to Use This Calculator

Converting between permittivity units is simple:

  1. Enter the value: Type the permittivity value you want to convert.
  2. Select the source unit: Choose from F/m, pF/m, nF/m, μF/m, F/cm, and more.
  3. Select the target unit: Choose the unit you want to convert to.
  4. View all conversions: The comprehensive table displays the same value in all supported units.

Real-World Applications

Permittivity is essential in capacitor design and electronics. Capacitors store energy in electric fields, and their capacitance is directly proportional to the dielectric material's permittivity. A higher permittivity dielectric allows more charge storage in the same physical volume. Engineers select dielectric materials based on their permittivity values, converting between units when comparing datasheets from different manufacturers.

In telecommunications and RF engineering, the permittivity of PCB substrates affects signal propagation speed and impedance. The dielectric constant of FR-4 (a common circuit board material, εᵣ ≈ 4.5) determines the physical dimensions needed for transmission lines and antenna elements. Converting permittivity units ensures accurate RF design calculations.

Materials science and semiconductor manufacturing require precise permittivity measurements. The permittivity of gate dielectrics in transistors determines their performance characteristics. As transistors shrink, new high-κ dielectric materials with permittivity values much higher than silicon dioxide are used. Accurate permittivity conversion enables proper material selection and process control.

Worked Examples

Converting Picofarads to Farads

Problem:

Convert 8.854 pF/m to F/m.

Solution Steps:

  1. 1Identify the conversion factor: 1 pF/m = 10⁻¹² F/m
  2. 2Multiply: 8.854 × 10⁻¹²
  3. 38.854 × 10⁻¹² = 8.854 × 10⁻¹² F/m

Result:

8.854 pF/m = 8.854 × 10⁻¹² F/m (permittivity of free space)

Converting Farads to Nanofarads

Problem:

Convert 4.5 × 10⁻¹¹ F/m to nF/m.

Solution Steps:

  1. 1Identify the conversion factor: 1 F/m = 10⁹ nF/m
  2. 2Multiply: 4.5 × 10⁻¹¹ × 10⁹
  3. 34.5 × 10⁻¹¹ × 10⁹ = 0.045 nF/m

Result:

4.5 × 10⁻¹¹ F/m = 0.045 nF/m

Dielectric Constant Calculation

Problem:

If a material has permittivity 3.54 × 10⁻¹¹ F/m, what is its dielectric constant?

Solution Steps:

  1. 1Identify ε₀ = 8.854 × 10⁻¹² F/m
  2. 2Calculate εᵣ = ε / ε₀
  3. 3εᵣ = 3.54 × 10⁻¹¹ / 8.854 × 10⁻¹² = 4.0

Result:

Dielectric constant (εᵣ) = 4.0 (typical for certain glass types)

Tips & Best Practices

  • ε₀ (vacuum permittivity) ≈ 8.854 × 10⁻¹² F/m ≈ 8.854 pF/m
  • Higher permittivity means the material stores more electrical energy
  • Use pF/m for very small values and F/m for larger values
  • D = εE is the fundamental equation relating displacement to field strength
  • Dielectric constant is dimensionless and always ≥ 1 for real materials
  • High-κ dielectrics are replacing SiO₂ in modern transistor gate oxides

Frequently Asked Questions

The permittivity of free space (ε₀) is a fundamental physical constant equal to approximately 8.854 × 10⁻¹² F/m, or about 8.854 pF/m. It represents how easily an electric field can be established in a vacuum and serves as the reference for calculating the dielectric constant of materials.
Permittivity (ε) is the absolute measure of a material's ability to store electric energy in an electric field, measured in F/m. The dielectric constant (εᵣ or κ) is the relative permittivity — the ratio of a material's permittivity to that of vacuum. It is a dimensionless number that indicates how many times better the material is at storing energy compared to vacuum.
Capacitance is directly proportional to the dielectric permittivity. Using a higher permittivity material allows more charge storage in the same physical volume, enabling smaller capacitors with the same capacitance. This is why modern electronics use high-κ dielectrics to achieve high capacitance in tiny chip capacitors.
In transmission lines and PCB traces, the signal propagation speed is inversely proportional to the square root of the dielectric permittivity. Higher permittivity substrates slow down signals, requiring physical length adjustments for timing-critical designs. This is essential in high-speed digital and RF circuit design.
Certain ceramic materials like barium titanate (BaTiO₃) can have permittivity values in the thousands. Water has a notably high dielectric constant of about 80. These high-permittivity materials are used in capacitors, energy storage devices, and applications requiring strong electric field interactions.

Sources & References

Last updated: 2026-06-06

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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

Source

Formula Source: NIST Guide to SI Units

by National Institute of Standards

UpdatedLast reviewed: May 2026
CheckedFormula checks are based on standard references and internal QA review.