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Capacitance of Parallel Plate Capacitor Formula

GoCapacitance for Parallel Plate Capacitors with Dielectric between them Formula

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Parallel Plate Capacitance is the ability of a system of two parallel plates to store electric charge, commonly used in electronic devices and circuits. Check FAQs

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

C_∥ - Parallel Plate Capacitance?ε_r - Relative Permittivity?A_plate - Area of Plates?s - Distance between Deflecting Plates?[Permitivity-vacuum] - Permittivity of vacuum?

Capacitance of Parallel Plate Capacitor Example

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Here is how the Capacitance of Parallel Plate Capacitor equation looks like with Values.

Here is how the Capacitance of Parallel Plate Capacitor equation looks like with Units.

Here is how the Capacitance of Parallel Plate Capacitor equation looks like.

0.018 = \frac{4.5 \cdot 8.9E-12 \cdot 130000}{0.0003}

0.018F = \frac{4.5 \cdot 8.9E-12F/m \cdot 130000m²}{0.0003m}

0.018 = \frac{4.5 \cdot 8.9E-12 \cdot 130000}{0.0003}

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Capacitance of Parallel Plate Capacitor Solution

Follow our step by step solution on how to calculate Capacitance of Parallel Plate Capacitor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C ∥ = \frac{4.5 \cdot [Permitivity-vacuum] \cdot 130000m²}{0.0003m}

Next Step Substitute values of Constants

∴

C ∥ = \frac{4.5 \cdot 8.9E-12F/m \cdot 130000m²}{0.0003m}

Next Step Prepare to Evaluate

∴

C ∥ = \frac{4.5 \cdot 8.9E-12 \cdot 130000}{0.0003}

Next Step Evaluate

∴

C ∥ = 0.0180391986062718F

LAST Step Rounding Answer

∴

C ∥ = 0.018F

Capacitance of Parallel Plate Capacitor Formula Elements

Variables

Constants

Parallel Plate Capacitance

Parallel Plate Capacitance is the ability of a system of two parallel plates to store electric charge, commonly used in electronic devices and circuits.

Symbol: C_∥

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Parallel Plate Capacitance

Relative Permittivity

Relative Permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics.

Symbol: ε_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Permittivity

Area of Plates

Area of Plates is the total surface area of the plates in an electrostatic system, which affects the capacitance and electrostatic energy.

Symbol: A_plate

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Plates

Distance between Deflecting Plates

Distance between Deflecting Plates is the separation between two plates in an electrostatic setup, used to measure the deflection of charged particles.

Symbol: s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance between Deflecting Plates

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 to find Parallel Plate Capacitance

Go Capacitance for Parallel Plate Capacitors with Dielectric between them

C ∥ = \frac{ε \cdot ε r \cdot A}{s}

Other formulas in Capacitance category

Go Capacitance

C = ε r \cdot \frac{Q}{V}

Go Capacitance of Spherical Capacitor

C = \frac{ε r \cdot R s \cdot a shell}{[Coulomb] \cdot (a shell - R s)}

Go Capacitance of Cylindrical Capacitor

C = \frac{ε r \cdot L Cylinder}{2 \cdot [Coulomb] \cdot (r 2 - r 1)}

Go Capacitor with Dielectric

C = \frac{ε \cdot ε r \cdot A}{s}

How to Evaluate Capacitance of Parallel Plate Capacitor?

Capacitance of Parallel Plate Capacitor evaluator uses Parallel Plate Capacitance = (Relative Permittivity*[Permitivity-vacuum]*Area of Plates)/Distance between Deflecting Plates to evaluate the Parallel Plate Capacitance, Capacitance of Parallel Plate Capacitor formula is defined as a measure of the ability of a parallel plate capacitor to store electric charge, which depends on the permittivity of the material, the area of the plates, and the distance between them, and is a crucial parameter in understanding the behavior of electrical circuits. Parallel Plate Capacitance is denoted by C_∥ symbol.

How to evaluate Capacitance of Parallel Plate Capacitor using this online evaluator? To use this online evaluator for Capacitance of Parallel Plate Capacitor, enter Relative Permittivity (ε_r), Area of Plates (A_plate) & Distance between Deflecting Plates (s) and hit the calculate button.

FAQs on Capacitance of Parallel Plate Capacitor

What is the formula to find Capacitance of Parallel Plate Capacitor?

The formula of Capacitance of Parallel Plate Capacitor is expressed as Parallel Plate Capacitance = (Relative Permittivity*[Permitivity-vacuum]*Area of Plates)/Distance between Deflecting Plates. Here is an example- 0.018039 = (4.5*[Permitivity-vacuum]*130000)/0.000287.

How to calculate Capacitance of Parallel Plate Capacitor?

With Relative Permittivity (ε_r), Area of Plates (A_plate) & Distance between Deflecting Plates (s) we can find Capacitance of Parallel Plate Capacitor using the formula - Parallel Plate Capacitance = (Relative Permittivity*[Permitivity-vacuum]*Area of Plates)/Distance between Deflecting Plates. This formula also uses Permittivity of vacuum constant(s).

What are the other ways to Calculate Parallel Plate Capacitance?

Here are the different ways to Calculate Parallel Plate Capacitance-

Parallel Plate Capacitance=(Permittivity*Relative Permittivity*Area)/Distance between Deflecting Plates

Can the Capacitance of Parallel Plate Capacitor be negative?

No, the Capacitance of Parallel Plate Capacitor, measured in Capacitance cannot be negative.

Which unit is used to measure Capacitance of Parallel Plate Capacitor?

Capacitance of Parallel Plate Capacitor is usually measured using the Farad[F] for Capacitance. Kilofarad[F], Millifarad[F], Microfarad[F] are the few other units in which Capacitance of Parallel Plate Capacitor can be measured.

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