Parallel Plate Relative Permeability Calculator

✖Capacitance of Specimen as Dielectric is defined as the capacitance of the given specimen or of the given electronic component.ⓘ Capacitance of Specimen as Dielectric [C_s]			+10% -10%
✖Distance between Electrodes is the space between two electrodes.ⓘ Distance between Electrodes [d]			+10% -10%
✖Effective Area of Electrode is the area of the electrode material that is accessible to the electrolyte that is used for charge transfer and/or storage.ⓘ Effective Area of Electrode [A]			+10% -10%

✖Parallel Plate Relative Permeability is a measure of the ability of a material placed between two parallel plates to concentrate magnetic field lines compared to a vacuum or air.ⓘ Parallel Plate Relative Permeability [εr]

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Formula

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Parallel Plate Relative Permeability

Formula

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

Example

`"41286.4"=("0.5μF"*"9.5m")/("13m²"*"[Permitivity-vacuum]")`

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Parallel Plate Relative Permeability Solution

STEP 0: Pre-Calculation Summary

Formula Used

Parallel Plate Relative Permeability = (Capacitance of Specimen as Dielectric*Distance between Electrodes)/(Effective Area of Electrode*[Permitivity-vacuum])
εr = (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

Parallel Plate Relative Permeability - Parallel Plate Relative Permeability is a measure of the ability of a material placed between two parallel plates to concentrate magnetic field lines compared to a vacuum or air.
Capacitance of Specimen as Dielectric - (Measured in Farad) - Capacitance of Specimen as Dielectric is defined as the capacitance of the given specimen or of the given electronic component.
Distance between Electrodes - (Measured in Meter) - Distance between Electrodes is the space between two electrodes.
Effective Area of Electrode - (Measured in Square Meter) - Effective Area of Electrode 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

Capacitance of Specimen as Dielectric: 0.5 Microfarad --> 5E-07 Farad (Check conversion here)
Distance between Electrodes: 9.5 Meter --> 9.5 Meter No Conversion Required
Effective Area of Electrode: 13 Square Meter --> 13 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

εr = (C_s*d)/(A*[Permitivity-vacuum]) --> (5E-07*9.5)/(13*[Permitivity-vacuum])

Evaluating ... ...

εr = 41286.3972186006

STEP 3: Convert Result to Output's Unit

41286.3972186006 --> No Conversion Required

FINAL ANSWER

41286.3972186006 ≈ 41286.4 <-- Parallel Plate Relative Permeability

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 5 Capacitance Calculators

Effective Capacitance of Cs and Co

Go Effective Capacitance = (Capacitance of Specimen as Dielectric*Capacitance due to Space between Specimen)/(Capacitance of Specimen as Dielectric+Capacitance due to Space between Specimen)

Capacitance with Specimen as Dielectric

Go Capacitance of Specimen as Dielectric = (Effective Capacitance*Capacitance due to Space between Specimen)/(Effective Capacitance-Capacitance due to Space between Specimen)

Capacitance due to Space between Specimen and Dielectric

Go Capacitance due to Space between Specimen = (Effective Capacitance*Capacitance of Specimen as Dielectric)/(Effective Capacitance-Capacitance of Specimen as Dielectric)

Capacitance of Specimen

Go Capacitance of Specimen as Dielectric = (Parallel Plate Relative Permeability*(Effective Area of Electrode*[Permitivity-vacuum]))/(Distance between Electrodes)

Parallel Plate Relative Permeability

Go Parallel Plate Relative Permeability = (Capacitance of Specimen as Dielectric*Distance between Electrodes)/(Effective Area of Electrode*[Permitivity-vacuum])

Parallel Plate Relative Permeability Formula

Parallel Plate Relative Permeability = (Capacitance of Specimen as Dielectric*Distance between Electrodes)/(Effective Area of Electrode*[Permitivity-vacuum])
εr = (C_s*d)/(A*[Permitivity-vacuum])

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How to Calculate Parallel Plate Relative Permeability?

Parallel Plate Relative Permeability calculator uses Parallel Plate Relative Permeability = (Capacitance of Specimen as Dielectric*Distance between Electrodes)/(Effective Area of Electrode*[Permitivity-vacuum]) to calculate the Parallel Plate Relative Permeability, The Parallel plate relative permeability formula is defined as The capacitance C of a capacitor is by definition Q / V, so that we find that the capacitance of a parallel-plate capacitor is linear in the relative permittivity ε_r: C = ε_r C_O with C_O ≡ ε_O A / d. Parallel Plate Relative Permeability is denoted by εr symbol.

How to calculate Parallel Plate Relative Permeability using this online calculator? To use this online calculator for Parallel Plate Relative Permeability, enter Capacitance of Specimen as Dielectric (C_s), Distance between Electrodes (d) & Effective Area of Electrode (A) and hit the calculate button. Here is how the Parallel Plate Relative Permeability calculation can be explained with given input values -> 41286.4 = (5E-07*9.5)/(13*[Permitivity-vacuum]).

FAQ

What is Parallel Plate Relative Permeability?

The Parallel plate relative permeability formula is defined as The capacitance C of a capacitor is by definition Q / V, so that we find that the capacitance of a parallel-plate capacitor is linear in the relative permittivity ε_r: C = ε_r C_O with C_O ≡ ε_O A / d and is represented as εr = (C_s*d)/(A*[Permitivity-vacuum]) or Parallel Plate Relative Permeability = (Capacitance of Specimen as Dielectric*Distance between Electrodes)/(Effective Area of Electrode*[Permitivity-vacuum]). Capacitance of Specimen as Dielectric is defined as the capacitance of the given specimen or of the given electronic component, Distance between Electrodes is the space between two electrodes & Effective Area of Electrode 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 Parallel Plate Relative Permeability?

The Parallel plate relative permeability formula is defined as The capacitance C of a capacitor is by definition Q / V, so that we find that the capacitance of a parallel-plate capacitor is linear in the relative permittivity ε_r: C = ε_r C_O with C_O ≡ ε_O A / d is calculated using Parallel Plate Relative Permeability = (Capacitance of Specimen as Dielectric*Distance between Electrodes)/(Effective Area of Electrode*[Permitivity-vacuum]). To calculate Parallel Plate Relative Permeability, you need Capacitance of Specimen as Dielectric (C_s), Distance between Electrodes (d) & Effective Area of Electrode (A). With our tool, you need to enter the respective value for Capacitance of Specimen as Dielectric, Distance between Electrodes & Effective Area of Electrode 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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