Polarization due to Sphere using Local field and Incident Field Calculator

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✖The Local Field is related to the incident field due in the Lorentz–Lorenz expression and also related to the polarization.ⓘ Local Field [E₁]			+10% -10%
✖The Incident Field is the subtraction of the polarization factor from the local field in the Lorentz–Lorenz expression.ⓘ Incident Field [E]			+10% -10%
✖The Real Dielectric Constant is the ratio of the electric permeability of a material to the electric permeability of a vacuum.ⓘ Real Dielectric Constant [ε_m]			+10% -10%
✖The Vacuum Dielectric Constant is the ratio of the permittivity of a substance to the permittivity of space or vacuum.ⓘ Vacuum Dielectric Constant [ε₀]			+10% -10%

✖The Polarization due to Sphere is the the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form.ⓘ Polarization due to Sphere using Local field and Incident Field [P_sph]

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Formula

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Polarization due to Sphere using Local field and Incident Field

Formula

`"P"_{"sph"} = ("E"_{"1"}-"E")*3*"ε"_{"m"}*"ε"_{"0"}`

Example

`"324000C/m²"=("100J"-"40J")*3*"60"*"30"`

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Polarization due to Sphere using Local field and Incident Field Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polarization due to Sphere = (Local Field-Incident Field)*3*Real Dielectric Constant*Vacuum Dielectric Constant
P_sph = (E₁-E)*3*ε_m*ε₀
This formula uses 5 Variables

Variables Used

Polarization due to Sphere - (Measured in Coulomb per Square Meter) - The Polarization due to Sphere is the the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form.
Local Field - (Measured in Joule) - The Local Field is related to the incident field due in the Lorentz–Lorenz expression and also related to the polarization.
Incident Field - (Measured in Joule) - The Incident Field is the subtraction of the polarization factor from the local field in the Lorentz–Lorenz expression.
Real Dielectric Constant - The Real Dielectric Constant is the ratio of the electric permeability of a material to the electric permeability of a vacuum.
Vacuum Dielectric Constant - The Vacuum Dielectric Constant is the ratio of the permittivity of a substance to the permittivity of space or vacuum.

STEP 1: Convert Input(s) to Base Unit

Local Field: 100 Joule --> 100 Joule No Conversion Required
Incident Field: 40 Joule --> 40 Joule No Conversion Required
Real Dielectric Constant: 60 --> No Conversion Required
Vacuum Dielectric Constant: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_sph = (E₁-E)*3*ε_m*ε₀ --> (100-40)*3*60*30

Evaluating ... ...

P_sph = 324000

STEP 3: Convert Result to Output's Unit

324000 Coulomb per Square Meter --> No Conversion Required

FINAL ANSWER

324000 Coulomb per Square Meter <-- Polarization due to Sphere

(Calculation completed in 00.004 seconds)

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< 23 Optical Properties of Metallic Nanoparticles Calculators

Total Polarization of Composite Material using Dielectric Constants and Incident Field

Go Total polarization of Composite Material = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field+((Volume Fraction*Dipole Moment of Sphere)/Volume of Nanoparticle)

Total Collision Rate using Intrinsic Electron Collision Frequency

Go Total Collision Rate = Intrinsic Electron Collision Rate+(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres

Intrinsic Electron Collision Frequency using Total Collision Rate

Go Intrinsic Electron Collision Rate = Total Collision Rate-(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres

Local field using Incident Field and Polarization

Go Local Field = Incident Field+(Polarization due to Sphere/(3*Real Dielectric Constant*Vacuum Dielectric Constant))

Incident Field using Local Field and Polarization

Go Incident Field = Local Field-(Polarization due to Sphere/(3*Real Dielectric Constant*Vacuum Dielectric Constant))

Polarization due to Sphere using Local field and Incident Field

Go Polarization due to Sphere = (Local Field-Incident Field)*3*Real Dielectric Constant*Vacuum Dielectric Constant

Polarization Due to Metallic Particle using Dielectric Constants and Incident Field

Go Polarization due to Metallic Particle = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field

Average Electron Density using Nanoparticle Density and Spill-out Amplitude

Go Average Electron Density = Electron Density*(1-(3*Spill Out Amplitude/Nanoparticle Diameter))

Electron Density using Average Electron Density and Spill-out Amplitude

Go Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter))

Volume Fraction using Polarization and Dipole Moment of Sphere

Go Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere

Polarization due to Sphere using Dipole moment of Sphere

Go Polarization due to Sphere = Volume Fraction*Dipole Moment of Sphere/Volume of Nanoparticle

Dipole moment of Sphere using Polarization due to Sphere

Go Dipole Moment of Sphere = Polarization due to Sphere*Volume of Nanoparticle/Volume Fraction

Average Electron Density using Electron Density and Electron diameter

Go Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3

Electron Density using Average Electron Density and Electron diameter

Go Electron Density = Average Electron Density*Electron Diameter^3/Nanoparticle Diameter^3

Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle

Go Number of Nanoparticles = (Volume Fraction*Volume of Material)/Volume of Nanoparticle

Volume Fraction using Volume of Nanoparticles

Go Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material

Volume of Nanoparticles using Volume Fraction

Go Volume of Nanoparticle = (Volume Fraction*Volume of Material)/Number of Nanoparticles

Total Polarization of Composite Material using Polarization due to Metallic Particle and Sphere

Go Total polarization of Composite Material = Polarization due to Metallic Particle+Polarization due to Sphere

Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere

Go Polarization due to Metallic Particle = Total polarization of Composite Material-Polarization due to Sphere

Polarization Due to Sphere using Polarization Due to Metallic Particle and Total Polarization

Go Polarization due to Sphere = Total polarization of Composite Material-Polarization due to Metallic Particle

Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude

Go Nanoparticle Diameter = Electron Diameter-Spill Out Amplitude

Electron Diameter using Nanoparticle Diameter and Spill-out Amplitude

Go Electron Diameter = Nanoparticle Diameter+Spill Out Amplitude

Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter

Go Spill Out Amplitude = Electron Diameter-Nanoparticle Diameter

Polarization due to Sphere using Local field and Incident Field Formula

Polarization due to Sphere = (Local Field-Incident Field)*3*Real Dielectric Constant*Vacuum Dielectric Constant
P_sph = (E₁-E)*3*ε_m*ε₀

What is Polarizability?

Polarizability refers to the ability of a bond or molecule to be polarized by distorting its electron cloud when subjected to an electric field. It is a property of all matter, considering that matter is made up of elementary particles with an electric charge, namely protons and electrons.

How to Calculate Polarization due to Sphere using Local field and Incident Field?

Polarization due to Sphere using Local field and Incident Field calculator uses Polarization due to Sphere = (Local Field-Incident Field)*3*Real Dielectric Constant*Vacuum Dielectric Constant to calculate the Polarization due to Sphere, The Polarization due to Sphere using Local field and Incident Field formula is defined as the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form which can be calculated using the Lorentz–Lorenz expression. Polarization due to Sphere is denoted by P_sph symbol.

How to calculate Polarization due to Sphere using Local field and Incident Field using this online calculator? To use this online calculator for Polarization due to Sphere using Local field and Incident Field, enter Local Field (E₁), Incident Field (E), Real Dielectric Constant (ε_m) & Vacuum Dielectric Constant (ε₀) and hit the calculate button. Here is how the Polarization due to Sphere using Local field and Incident Field calculation can be explained with given input values -> 324000 = (100-40)*3*60*30.

FAQ

What is Polarization due to Sphere using Local field and Incident Field?

The Polarization due to Sphere using Local field and Incident Field formula is defined as the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form which can be calculated using the Lorentz–Lorenz expression and is represented as P_sph = (E₁-E)*3*ε_m*ε₀ or Polarization due to Sphere = (Local Field-Incident Field)*3*Real Dielectric Constant*Vacuum Dielectric Constant. The Local Field is related to the incident field due in the Lorentz–Lorenz expression and also related to the polarization, The Incident Field is the subtraction of the polarization factor from the local field in the Lorentz–Lorenz expression, The Real Dielectric Constant is the ratio of the electric permeability of a material to the electric permeability of a vacuum & The Vacuum Dielectric Constant is the ratio of the permittivity of a substance to the permittivity of space or vacuum.

How to calculate Polarization due to Sphere using Local field and Incident Field?

The Polarization due to Sphere using Local field and Incident Field formula is defined as the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form which can be calculated using the Lorentz–Lorenz expression is calculated using Polarization due to Sphere = (Local Field-Incident Field)*3*Real Dielectric Constant*Vacuum Dielectric Constant. To calculate Polarization due to Sphere using Local field and Incident Field, you need Local Field (E₁), Incident Field (E), Real Dielectric Constant (ε_m) & Vacuum Dielectric Constant (ε₀). With our tool, you need to enter the respective value for Local Field, Incident Field, Real Dielectric Constant & Vacuum Dielectric Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Polarization due to Sphere?

In this formula, Polarization due to Sphere uses Local Field, Incident Field, Real Dielectric Constant & Vacuum Dielectric Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -

Polarization due to Sphere = Volume Fraction*Dipole Moment of Sphere/Volume of Nanoparticle
Polarization due to Sphere = Total polarization of Composite Material-Polarization due to Metallic Particle

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