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
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
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 |
|---|---|---|
| Vacuum | 1 (exactly) | Reference standard |
| Air | 1.0006 | Approximately vacuum |
| Paper | 3.7 | Capacitor dielectric |
| Glass | 4-10 | Varies by type |
| Silicon | 11.7 | Semiconductor substrate |
| Water | 80.1 | High dielectric constant |
How to Use This Calculator
Converting between permittivity units is simple:
- Enter the value: Type the permittivity value you want to convert.
- Select the source unit: Choose from F/m, pF/m, nF/m, μF/m, F/cm, and more.
- Select the target unit: Choose the unit you want to convert to.
- 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:
- 1Identify the conversion factor: 1 pF/m = 10⁻¹² F/m
- 2Multiply: 8.854 × 10⁻¹²
- 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:
- 1Identify the conversion factor: 1 F/m = 10⁹ nF/m
- 2Multiply: 4.5 × 10⁻¹¹ × 10⁹
- 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:
- 1Identify ε₀ = 8.854 × 10⁻¹² F/m
- 2Calculate εᵣ = ε / ε₀
- 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
Sources & References
Last updated: 2026-06-06
Help us improve!
How would you rate the Permittivity Converter?
Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: NIST Guide to SI Units
by National Institute of Standards