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Dielectric Constant of Artificial Dielectric Formula

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Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field. Check FAQs

e = 1 + \frac{4 \cdot π \cdot a^{3}}{s^{3}}

e - Dielectric Constant of Artificial Dielectric?a - Radius of Metallic Spheres?s - Spacing between Centers of Metallic Sphere?π - Archimedes' constant?

Dielectric Constant of Artificial Dielectric Example

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Here is how the Dielectric Constant of Artificial Dielectric equation looks like with Values.

Here is how the Dielectric Constant of Artificial Dielectric equation looks like with Units.

Here is how the Dielectric Constant of Artificial Dielectric equation looks like.

1.0063 = 1 + \frac{4 \cdot 3.1416 \cdot {1.55}^{3}}{{19.56}^{3}}

1.0063 = 1 + \frac{4 \cdot 3.1416 \cdot {1.55μm}^{3}}{{19.56μm}^{3}}

1.0063 = 1 + \frac{4 \cdot 3.1416 \cdot {1.55}^{3}}{{19.56}^{3}}

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Dielectric Constant of Artificial Dielectric Solution

Follow our step by step solution on how to calculate Dielectric Constant of Artificial Dielectric?

FIRST Step Consider the formula

e = 1 + \frac{4 \cdot π \cdot a^{3}}{s^{3}}

Next Step Substitute values of Variables

∴

e = 1 + \frac{4 \cdot π \cdot {1.55μm}^{3}}{{19.56μm}^{3}}

Next Step Substitute values of Constants

∴

e = 1 + \frac{4 \cdot 3.1416 \cdot {1.55μm}^{3}}{{19.56μm}^{3}}

Next Step Convert Units

∴

e = 1 + \frac{4 \cdot 3.1416 \cdot {1.6E-6m}^{3}}{{2E-5m}^{3}}

Next Step Prepare to Evaluate

∴

e = 1 + \frac{4 \cdot 3.1416 \cdot {1.6E-6}^{3}}{{2E-5}^{3}}

Next Step Evaluate

∴

e = 1.0062531436727

LAST Step Rounding Answer

∴

e = 1.0063

Dielectric Constant of Artificial Dielectric Formula Elements

Variables

Constants

Dielectric Constant of Artificial Dielectric

Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dielectric Constant of Artificial Dielectric

Radius of Metallic Spheres

Radius of Metallic Spheres is the measure of distance between the centre and the circumference of the metallic sphere used in artificial dielectric.

Symbol: a

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Radius of Metallic Spheres

Spacing between Centers of Metallic Sphere

Spacing between Centers of Metallic Sphere is the measure of distance between centers of the metallic spheres.

Symbol: s

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Spacing between Centers of Metallic Sphere

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 Radar Antennas Reception category

Go Directive Gain

G d = \frac{4 \cdot π}{θ b \cdot φ b}

Go Spacing between Centers of Metallic Sphere

s = \frac{λ m}{2 \cdot \sqrt{1 - {η m}^{2}}}

Go Effective Aperture of Lossless Antenna

A e = η a \cdot A

Go Metal-Plate Lens Refractive Index

η m = \sqrt{1 - {(\frac{λ m}{2 \cdot s})}^{2}}

How to Evaluate Dielectric Constant of Artificial Dielectric?

Dielectric Constant of Artificial Dielectric evaluator uses Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3) to evaluate the Dielectric Constant of Artificial Dielectric, Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field, and it influences how waves, such as electromagnetic waves, propagate through the material, and in this case it can be both positive as well as negative and it can also be anisotropic, meaning it may have different values along different axes. Dielectric Constant of Artificial Dielectric is denoted by e symbol.

How to evaluate Dielectric Constant of Artificial Dielectric using this online evaluator? To use this online evaluator for Dielectric Constant of Artificial Dielectric, enter Radius of Metallic Spheres (a) & Spacing between Centers of Metallic Sphere (s) and hit the calculate button.

FAQs on Dielectric Constant of Artificial Dielectric

What is the formula to find Dielectric Constant of Artificial Dielectric?

The formula of Dielectric Constant of Artificial Dielectric is expressed as Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3). Here is an example- 1.030292 = 1+(4*pi*1.55E-06^3)/(1.956E-05^3).

How to calculate Dielectric Constant of Artificial Dielectric?

With Radius of Metallic Spheres (a) & Spacing between Centers of Metallic Sphere (s) we can find Dielectric Constant of Artificial Dielectric using the formula - Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3). This formula also uses Archimedes' constant .

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Dielectric Constant of Artificial Dielectric Formula

Dielectric Constant of Artificial Dielectric Example

Dielectric Constant of Artificial Dielectric Solution

Dielectric Constant of Artificial Dielectric Formula Elements

Other formulas in Radar Antennas Reception category

How to Evaluate Dielectric Constant of Artificial Dielectric?

FAQs on Dielectric Constant of Artificial Dielectric

Variable Name