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Relative Permittivity Formula

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Relative Permittivity is a measure of how much electric energy a material can store compared to a vacuum. It quantifies the ability of a material to allow the formation of an electric field within it. Check FAQs

ε r = \frac{C s \cdot d}{A \cdot [Permitivity-vacuum]}

ε_r - Relative Permittivity?C_s - Specimen Capacitance?d - Spacing between Electrodes?A - Electrode Effective Area?[Permitivity-vacuum] - Permittivity of vacuum?

Relative Permittivity Example

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Here is how the Relative Permittivity equation looks like with Values.

Here is how the Relative Permittivity equation looks like with Units.

Here is how the Relative Permittivity equation looks like.

199.4935 = \frac{6.4 \cdot 0.4}{1.45 \cdot 8.9E-12}

199.4935 = \frac{6.4μF \cdot 0.4mm}{1.45m² \cdot 8.9E-12F/m}

199.4935 = \frac{6.4 \cdot 0.4}{1.45 \cdot 8.9E-12}

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Relative Permittivity Solution

Follow our step by step solution on how to calculate Relative Permittivity?

FIRST Step Consider the formula

ε r = \frac{C s \cdot d}{A \cdot [Permitivity-vacuum]}

Next Step Substitute values of Variables

∴

ε r = \frac{6.4μF \cdot 0.4mm}{1.45m² \cdot [Permitivity-vacuum]}

Next Step Substitute values of Constants

∴

ε r = \frac{6.4μF \cdot 0.4mm}{1.45m² \cdot 8.9E-12F/m}

Next Step Convert Units

∴

ε r = \frac{6.4E-6F \cdot 0.0004m}{1.45m² \cdot 8.9E-12F/m}

Next Step Prepare to Evaluate

∴

ε r = \frac{6.4E-6 \cdot 0.0004}{1.45 \cdot 8.9E-12}

Next Step Evaluate

∴

ε r = 199.493473602182

LAST Step Rounding Answer

∴

ε r = 199.4935

Relative Permittivity Formula Elements

Variables

Constants

Relative Permittivity

Symbol: ε_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Permittivity

Specimen Capacitance

Specimen Capacitance is defined as the capacitance of the given specimen or of the given electronic component.

Symbol: C_s

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Specimen Capacitance

Spacing between Electrodes

Spacing between Electrodes is the distance between two electrodes forming a parallel plate capacitor.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Spacing between Electrodes

Electrode Effective Area

Electrode Effective Area is the area of the electrode material that is accessible to the electrolyte that is used for charge transfer and/or storage.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Electrode Effective Area

Permittivity of vacuum

Permittivity of vacuum is a fundamental physical constant that describes the ability of a vacuum to permit the transmission of electric field lines.

Symbol: [Permitivity-vacuum]

Value: 8.85E-12 F/m

Other formulas in Schering Bridge category

Go Unknown Resistance in Schering Bridge

r 1(sb) = (\frac{C 4(sb)}{C 2(sb)}) \cdot R 3(sb)

Go Unknown Capacitance in Schering Bridge

C 1(sb) = (\frac{R 4(sb)}{R 3(sb)}) \cdot C 2(sb)

Go Dissipation Factor in Schering Bridge

D 1(sb) = ω \cdot C 4(sb) \cdot R 4(sb)

Go Effective Area of Electrode in Schering Bridge

A = \frac{C s \cdot d}{ε r \cdot [Permitivity-vacuum]}

How to Evaluate Relative Permittivity?

Relative Permittivity evaluator uses Relative Permittivity = (Specimen Capacitance*Spacing between Electrodes)/(Electrode Effective Area*[Permitivity-vacuum]) to evaluate the Relative Permittivity, The Relative Permittivity formula is defined as a measure of how much electric energy a material can store compared to a vacuum. It quantifies the ability of a material to allow the formation of an electric field within it. The relative permittivity of a material is defined as the ratio of the permittivity of the material to the permittivity of free space (vacuum). Relative Permittivity is denoted by ε_r symbol.

How to evaluate Relative Permittivity using this online evaluator? To use this online evaluator for Relative Permittivity, enter Specimen Capacitance (C_s), Spacing between Electrodes (d) & Electrode Effective Area (A) and hit the calculate button.

FAQs on Relative Permittivity

What is the formula to find Relative Permittivity?

The formula of Relative Permittivity is expressed as Relative Permittivity = (Specimen Capacitance*Spacing between Electrodes)/(Electrode Effective Area*[Permitivity-vacuum]). Here is an example- 199.4935 = (6.4E-06*0.0004)/(1.45*[Permitivity-vacuum]).

How to calculate Relative Permittivity?

With Specimen Capacitance (C_s), Spacing between Electrodes (d) & Electrode Effective Area (A) we can find Relative Permittivity using the formula - Relative Permittivity = (Specimen Capacitance*Spacing between Electrodes)/(Electrode Effective Area*[Permitivity-vacuum]). This formula also uses Permittivity of vacuum constant(s).

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Relative Permittivity Formula

Relative Permittivity Example

Relative Permittivity Solution

Relative Permittivity Formula Elements

Other formulas in Schering Bridge category

How to Evaluate Relative Permittivity?

FAQs on Relative Permittivity

Variable Name