Capacitance with Specimen as Dielectric Calculator

✖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]			+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%
✖Spacing between Electrodes is the distance between two electrodes forming a parallel plate capacitor.ⓘ Spacing between Electrodes [d]			+10% -10%

✖Specimen Capacitance is defined as the capacitance of the given specimen or of the given electronic component.ⓘ Capacitance with Specimen as Dielectric [C_s]

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Formula

✖

Capacitance with Specimen as Dielectric

Formula

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

Example

6.384169 μF = \frac{199 \cdot [Permitivity-vacuum] \cdot 1.45 m²}{0.4 mm}

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Capacitance with Specimen as Dielectric Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Relative Permittivity: 199 --> No Conversion Required
Electrode Effective Area: 1.45 Square Meter --> 1.45 Square Meter No Conversion Required
Spacing between Electrodes: 0.4 Millimeter --> 0.0004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_s = (ε_r*[Permitivity-vacuum]*A)/(d) --> (199*[Permitivity-vacuum]*1.45)/(0.0004)

Evaluating ... ...

C_s = 6.38416875E-06

STEP 3: Convert Result to Output's Unit

6.38416875E-06 Farad -->6.38416875 Microfarad (Check conversion here)

FINAL ANSWER

6.38416875 ≈ 6.384169 Microfarad <-- Specimen Capacitance

(Calculation completed in 00.004 seconds)

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< Schering Bridge Calculators

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])

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

Capacitance with Specimen as Dielectric Formula

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

What is Schering Bridge?

The Schering Bridge is an AC (alternating current) bridge circuit used to measure the capacitance and dissipation factor (dielectric loss) of a capacitor. It is particularly useful for testing the quality of high-voltage capacitors and insulating materials.

How to Calculate Capacitance with Specimen as Dielectric?

Capacitance with Specimen as Dielectric calculator uses Specimen Capacitance = (Relative Permittivity*[Permitivity-vacuum]*Electrode Effective Area)/(Spacing between Electrodes) to calculate the Specimen Capacitance, The Capacitance with Specimen as Dielectric formula is defined as the capacitance of the specimen with dielectric material present in space between the two electrodes of parallel plate capacitor having some relative permittivity. Specimen Capacitance is denoted by C_s symbol.

How to calculate Capacitance with Specimen as Dielectric using this online calculator? To use this online calculator for Capacitance with Specimen as Dielectric, enter Relative Permittivity (ε_r), Electrode Effective Area (A) & Spacing between Electrodes (d) and hit the calculate button. Here is how the Capacitance with Specimen as Dielectric calculation can be explained with given input values -> 6.4E+6 = (199*[Permitivity-vacuum]*1.45)/(0.0004).

FAQ

What is Capacitance with Specimen as Dielectric?

The Capacitance with Specimen as Dielectric formula is defined as the capacitance of the specimen with dielectric material present in space between the two electrodes of parallel plate capacitor having some relative permittivity and is represented as C_s = (ε_r*[Permitivity-vacuum]*A)/(d) or Specimen Capacitance = (Relative Permittivity*[Permitivity-vacuum]*Electrode Effective Area)/(Spacing between Electrodes). 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, 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 & Spacing between Electrodes is the distance between two electrodes forming a parallel plate capacitor.

How to calculate Capacitance with Specimen as Dielectric?

The Capacitance with Specimen as Dielectric formula is defined as the capacitance of the specimen with dielectric material present in space between the two electrodes of parallel plate capacitor having some relative permittivity is calculated using Specimen Capacitance = (Relative Permittivity*[Permitivity-vacuum]*Electrode Effective Area)/(Spacing between Electrodes). To calculate Capacitance with Specimen as Dielectric, you need Relative Permittivity (ε_r), Electrode Effective Area (A) & Spacing between Electrodes (d). With our tool, you need to enter the respective value for Relative Permittivity, Electrode Effective Area & Spacing between Electrodes and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Specimen Capacitance?

In this formula, Specimen Capacitance uses Relative Permittivity, Electrode Effective Area & Spacing between Electrodes. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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