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Spacing between Centers of Metallic Sphere Formula

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

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

s - Spacing between Centers of Metallic Sphere?λ_m - Incident Wave Wavelength?η_m - Metal Plate Refractive Index?

Spacing between Centers of Metallic Sphere Example

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Here is how the Spacing between Centers of Metallic Sphere equation looks like with Values.

Here is how the Spacing between Centers of Metallic Sphere equation looks like with Units.

Here is how the Spacing between Centers of Metallic Sphere equation looks like.

72.8021 = \frac{20.54}{2 \cdot \sqrt{1 - {0.99}^{2}}}

72.8021μm = \frac{20.54μm}{2 \cdot \sqrt{1 - {0.99}^{2}}}

72.8021 = \frac{20.54}{2 \cdot \sqrt{1 - {0.99}^{2}}}

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Spacing between Centers of Metallic Sphere Solution

Follow our step by step solution on how to calculate Spacing between Centers of Metallic Sphere?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s = \frac{20.54μm}{2 \cdot \sqrt{1 - {0.99}^{2}}}

Next Step Convert Units

∴

s = \frac{2.1E-5m}{2 \cdot \sqrt{1 - {0.99}^{2}}}

Next Step Prepare to Evaluate

∴

s = \frac{2.1E-5}{2 \cdot \sqrt{1 - {0.99}^{2}}}

Next Step Evaluate

∴

s = 7.2802099754356E-05m

Next Step Convert to Output's Unit

∴

s = 72.802099754356μm

LAST Step Rounding Answer

∴

s = 72.8021μm

Spacing between Centers of Metallic Sphere Formula Elements

Variables

Functions

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

Incident Wave Wavelength

Incident Wave Wavelength refers to the physical length of one complete cycle of an electromagnetic wave incident on the Metallic Plate Lens.

Symbol: λ_m

Measurement: WavelengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Incident Wave Wavelength

Metal Plate Refractive Index

Metal Plate Refractive Index describes how much light or other electromagnetic waves slow down or change their speed when they pass through that material compared to their speed in a vacuum.

Symbol: η_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Metal Plate Refractive Index

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Radar Antennas Reception category

Go Directive Gain

G d = \frac{4 \cdot π}{θ b \cdot φ b}

Go Effective Aperture of Lossless Antenna

A e = η a \cdot A

Go Dielectric Constant of Artificial Dielectric

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

Go Metal-Plate Lens Refractive Index

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

How to Evaluate Spacing between Centers of Metallic Sphere?

Spacing between Centers of Metallic Sphere evaluator uses Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2)) to evaluate the Spacing between Centers of Metallic Sphere, Spacing between Centers of Metallic Sphere of a Metal Plate Lens are often engineered to serve as subwavelength resonators and are a key component of the metamaterial design and are usually very small compared to the incident wave wavelength. Spacing between Centers of Metallic Sphere is denoted by s symbol.

How to evaluate Spacing between Centers of Metallic Sphere using this online evaluator? To use this online evaluator for Spacing between Centers of Metallic Sphere, enter Incident Wave Wavelength (λ_m) & Metal Plate Refractive Index (η_m) and hit the calculate button.

FAQs on Spacing between Centers of Metallic Sphere

What is the formula to find Spacing between Centers of Metallic Sphere?

The formula of Spacing between Centers of Metallic Sphere is expressed as Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2)). Here is an example- 2E-5 = 2.054E-05/(2*sqrt(1-0.99^2)).

How to calculate Spacing between Centers of Metallic Sphere?

With Incident Wave Wavelength (λ_m) & Metal Plate Refractive Index (η_m) we can find Spacing between Centers of Metallic Sphere using the formula - Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2)). This formula also uses Square Root (sqrt) function(s).

Can the Spacing between Centers of Metallic Sphere be negative?

No, the Spacing between Centers of Metallic Sphere, measured in Length cannot be negative.

Which unit is used to measure Spacing between Centers of Metallic Sphere?

Spacing between Centers of Metallic Sphere is usually measured using the Micrometer[μm] for Length. Meter[μm], Millimeter[μm], Kilometer[μm] are the few other units in which Spacing between Centers of Metallic Sphere can be measured.

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Spacing between Centers of Metallic Sphere Formula

Spacing between Centers of Metallic Sphere Example

Spacing between Centers of Metallic Sphere Solution

Spacing between Centers of Metallic Sphere Formula Elements

Other formulas in Radar Antennas Reception category

How to Evaluate Spacing between Centers of Metallic Sphere?

FAQs on Spacing between Centers of Metallic Sphere

Variable Name