✖Specimen Capacitance is defined as the capacitance of the given specimen or of the given electronic component.ⓘ Specimen Capacitance [C_s]			+10% -10%
✖Spacing between Electrodes is the distance between two electrodes forming a parallel plate capacitor.ⓘ Spacing between Electrodes [d]			+10% -10%
✖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.ⓘ Electrode Effective Area [A]			+10% -10%

✖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.ⓘ Relative Permittivity [ε_r]

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Formula

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Relative Permittivity

Formula

`"ε"_{"r"} = ("C"_{"s"}*"d")/("A"*"[Permitivity-vacuum]")`

Example

`"199.4935"=("6.4μF"*"0.4mm")/("1.45m²"*"[Permitivity-vacuum]")`

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Relative Permittivity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Permittivity = (Specimen Capacitance*Spacing between Electrodes)/(Electrode Effective Area*[Permitivity-vacuum])
ε_r = (C_s*d)/(A*[Permitivity-vacuum])
This formula uses 1 Constants, 4 Variables

Constants Used

[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12

Variables Used

Relative Permittivity - 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.
Specimen Capacitance - (Measured in Farad) - Specimen Capacitance is defined as the capacitance of the given specimen or of the given electronic component.
Spacing between Electrodes - (Measured in Meter) - Spacing between Electrodes is the distance between two electrodes forming a parallel plate capacitor.
Electrode Effective Area - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Specimen Capacitance: 6.4 Microfarad --> 6.4E-06 Farad (Check conversion here)
Spacing between Electrodes: 0.4 Millimeter --> 0.0004 Meter (Check conversion here)
Electrode Effective Area: 1.45 Square Meter --> 1.45 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_r = (C_s*d)/(A*[Permitivity-vacuum]) --> (6.4E-06*0.0004)/(1.45*[Permitivity-vacuum])

Evaluating ... ...

ε_r = 199.493473602182

STEP 3: Convert Result to Output's Unit

199.493473602182 --> No Conversion Required

FINAL ANSWER

199.493473602182 ≈ 199.4935 <-- Relative Permittivity

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Bridge Circuits » AC Bridge Circuits » Schering Bridge » Relative Permittivity

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< 10+ Schering Bridge Calculators

Capacitance of Specimen

Go Specimen Capacitance = (Effective Capacitance*Capacitance between Specimen and Dielectric)/(Capacitance between Specimen and Dielectric-Effective Capacitance)

Effective Capacitance in Schering Bridge

Go Effective Capacitance = (Specimen Capacitance*Capacitance between Specimen and Dielectric)/(Specimen Capacitance+Capacitance between Specimen and Dielectric)

Capacitance due to Space between Specimen and Dielectric

Go Capacitance between Specimen and Dielectric = (Effective Capacitance*Specimen Capacitance)/(Specimen Capacitance-Effective Capacitance)

Unknown Resistance in Schering Bridge

Go Series Resistance 1 in Schering Bridge = (Known Capacitance 4 in Schering Bridge/Known Capacitance 2 in Schering Bridge)*Known Resistance 3 in Schering Bridge

Unknown Capacitance in Schering Bridge

Go Unknown Capacitance in Schering Bridge = (Known Resistance 4 in Schering Bridge/Known Resistance 3 in Schering Bridge)*Known Capacitance 2 in Schering Bridge

Effective Area of Electrode in Schering Bridge

Go Electrode Effective Area = (Specimen Capacitance*Spacing between Electrodes)/(Relative Permittivity*[Permitivity-vacuum])

Spacing between Electrodes in Schering Bridge

Go Spacing between Electrodes = (Relative Permittivity*[Permitivity-vacuum]*Electrode Effective Area)/(Specimen Capacitance)

Capacitance with Specimen as Dielectric

Go Specimen Capacitance = (Relative Permittivity*[Permitivity-vacuum]*Electrode Effective Area)/(Spacing between Electrodes)

Relative Permittivity

Go Relative Permittivity = (Specimen Capacitance*Spacing between Electrodes)/(Electrode Effective Area*[Permitivity-vacuum])

Dissipation Factor in Schering Bridge

Go Dissipation Factor in Schering Bridge = Angular Frequency*Known Capacitance 4 in Schering Bridge*Known Resistance 4 in Schering Bridge

Relative Permittivity Formula

Relative Permittivity = (Specimen Capacitance*Spacing between Electrodes)/(Electrode Effective Area*[Permitivity-vacuum])
ε_r = (C_s*d)/(A*[Permitivity-vacuum])

Importance of Relative Permittivity.

Relative permittivity, also known as the dielectric constant, is a crucial parameter in both scientific and engineering disciplines because it measures a material's ability to store electrical energy in an electric field. This property significantly influences the behavior of capacitors, which are fundamental components in electronic circuits. High relative permittivity materials are essential in designing capacitors with greater capacitance in a compact size, thereby enhancing the performance and efficiency of electronic devices. Additionally, relative permittivity affects signal propagation speed and attenuation in communication systems, impacting the design of transmission lines and insulating materials. In sensor technology and high-frequency applications, materials with appropriate relative permittivity values are chosen to ensure optimal sensitivity and accuracy. Overall, understanding and utilizing the relative permittivity of materials enable advancements in various technologies, from consumer electro

How to Calculate Relative Permittivity?

Relative Permittivity calculator uses Relative Permittivity = (Specimen Capacitance*Spacing between Electrodes)/(Electrode Effective Area*[Permitivity-vacuum]) to calculate 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 calculate Relative Permittivity using this online calculator? To use this online calculator for Relative Permittivity, enter Specimen Capacitance (C_s), Spacing between Electrodes (d) & Electrode Effective Area (A) and hit the calculate button. Here is how the Relative Permittivity calculation can be explained with given input values -> 199.4935 = (6.4E-06*0.0004)/(1.45*[Permitivity-vacuum]).

FAQ

What is 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) and is represented as ε_r = (C_s*d)/(A*[Permitivity-vacuum]) or Relative Permittivity = (Specimen Capacitance*Spacing between Electrodes)/(Electrode Effective Area*[Permitivity-vacuum]). Specimen Capacitance is defined as the capacitance of the given specimen or of the given electronic component, Spacing between Electrodes is the distance between two electrodes forming a parallel plate capacitor & 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.

How to calculate 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) is calculated using Relative Permittivity = (Specimen Capacitance*Spacing between Electrodes)/(Electrode Effective Area*[Permitivity-vacuum]). To calculate Relative Permittivity, you need Specimen Capacitance (C_s), Spacing between Electrodes (d) & Electrode Effective Area (A). With our tool, you need to enter the respective value for Specimen Capacitance, Spacing between Electrodes & Electrode Effective Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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