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Capacitance Dielectric Formula

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Capacitance Of Dielectric is the amount of charge that can be stored at a given voltage by a dielectric. Check FAQs

C d = \frac{ε r \cdot 8.85 \cdot 10^{- 12} \cdot A}{4 \cdot π \cdot t d}

C_d - Capacitance of Dielectric?ε_r - Relative Permittivity?A - Surface Area?t_d - Thickness of Dielectric?π - Archimedes' constant?

Capacitance Dielectric Example

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Here is how the Capacitance Dielectric equation looks like with Values.

Here is how the Capacitance Dielectric equation looks like with Units.

Here is how the Capacitance Dielectric equation looks like.

0.7001 = \frac{3.14 \cdot 8.85 \cdot 10^{- 12} \cdot 13}{4 \cdot 3.1416 \cdot 41.06}

0.7001μF = \frac{3.14 \cdot 8.85 \cdot 10^{- 12} \cdot 13m²}{4 \cdot 3.1416 \cdot 41.06μm}

0.7001 = \frac{3.14 \cdot 8.85 \cdot 10^{- 12} \cdot 13}{4 \cdot 3.1416 \cdot 41.06}

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Capacitance Dielectric Solution

Follow our step by step solution on how to calculate Capacitance Dielectric?

FIRST Step Consider the formula

C d = \frac{ε r \cdot 8.85 \cdot 10^{- 12} \cdot A}{4 \cdot π \cdot t d}

Next Step Substitute values of Variables

∴

C d = \frac{3.14 \cdot 8.85 \cdot 10^{- 12} \cdot 13m²}{4 \cdot π \cdot 41.06μm}

Next Step Substitute values of Constants

∴

C d = \frac{3.14 \cdot 8.85 \cdot 10^{- 12} \cdot 13m²}{4 \cdot 3.1416 \cdot 41.06μm}

Next Step Convert Units

∴

C d = \frac{3.14 \cdot 8.85 \cdot 10^{- 12} \cdot 13m²}{4 \cdot 3.1416 \cdot 4.1E-5m}

Next Step Prepare to Evaluate

∴

C d = \frac{3.14 \cdot 8.85 \cdot 10^{- 12} \cdot 13}{4 \cdot 3.1416 \cdot 4.1E-5}

Next Step Evaluate

∴

C d = 7.00144146085592E-07F

Next Step Convert to Output's Unit

∴

C d = 0.700144146085592μF

LAST Step Rounding Answer

∴

C d = 0.7001μF

Capacitance Dielectric Formula Elements

Variables

Constants

Capacitance of Dielectric

Capacitance Of Dielectric is the amount of charge that can be stored at a given voltage by a dielectric.

Symbol: C_d

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Capacitance of Dielectric

Relative Permittivity

Relative Permittivity is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.

Symbol: ε_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Permittivity

Surface Area

Surface Area is the effective surface area of the electrodes.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area

Thickness of Dielectric

Thickness of Dielectric is the thickness of the used dielectric.

Symbol: t_d

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Thickness of Dielectric

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Dielectric Heating category

Go Power Loss Density

P d = f \cdot ε r ″ \cdot 8.85418782 \cdot 10^{- 12} \cdot F^{2}

Go Loss Tangent

tan δ = \frac{X c}{R}

Go Net Resistance

R = \frac{X c}{tan δ}

Go Dielectric Loss

P l = \frac{V^{2}}{2 \cdot X c} \cdot \sin (2 \cdot Φ)

How to Evaluate Capacitance Dielectric?

Capacitance Dielectric evaluator uses Capacitance of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Thickness of Dielectric) to evaluate the Capacitance of Dielectric, The Capacitance Dielectric formula refers to an insulating material that is placed between the plates of a capacitor. The dielectric material serves to increase the capacitance of the capacitor by reducing the electric field strength and enhancing the ability to store electrical energy. The presence of a dielectric material between the plates of a capacitor increases its capacitance compared to an air or vacuum-filled capacitor. Capacitance of Dielectric is denoted by C_d symbol.

How to evaluate Capacitance Dielectric using this online evaluator? To use this online evaluator for Capacitance Dielectric, enter Relative Permittivity (ε_r), Surface Area (A) & Thickness of Dielectric (t_d) and hit the calculate button.

FAQs on Capacitance Dielectric

What is the formula to find Capacitance Dielectric?

The formula of Capacitance Dielectric is expressed as Capacitance of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Thickness of Dielectric). Here is an example- 700144.1 = (3.14*8.85*10^-12*13)/(4*pi*4.106E-05).

How to calculate Capacitance Dielectric?

With Relative Permittivity (ε_r), Surface Area (A) & Thickness of Dielectric (t_d) we can find Capacitance Dielectric using the formula - Capacitance of Dielectric = (Relative Permittivity*8.85*10^-12*Surface Area)/(4*pi*Thickness of Dielectric). This formula also uses Archimedes' constant .

Can the Capacitance Dielectric be negative?

No, the Capacitance Dielectric, measured in Capacitance cannot be negative.

Which unit is used to measure Capacitance Dielectric?

Capacitance Dielectric is usually measured using the Microfarad[μF] for Capacitance. Farad[μF], Kilofarad[μF], Millifarad[μF] are the few other units in which Capacitance Dielectric can be measured.

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Capacitance Dielectric Formula

Capacitance Dielectric Example

Capacitance Dielectric Solution

Capacitance Dielectric Formula Elements

Other formulas in Dielectric Heating category

How to Evaluate Capacitance Dielectric?

FAQs on Capacitance Dielectric

Variable Name