Total Polarization of Composite Material using Dielectric Constants and Incident Field Calculator

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✖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 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 Incident Field is the subtraction of the polarization factor from the local field in the Lorentz–Lorenz expression.ⓘ Incident Field [E]			+10% -10%
✖The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here.ⓘ Volume Fraction [p]			+10% -10%
✖The Dipole Moment of Sphere is a measure of the separation of positive and negative electrical charges within a system.ⓘ Dipole Moment of Sphere [p_s]			+10% -10%
✖The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.ⓘ Volume of Nanoparticle [V_np]			+10% -10%

✖The Total polarization of Composite Material is the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form.ⓘ Total Polarization of Composite Material using Dielectric Constants and Incident Field [P]

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Total Polarization of Composite Material using Dielectric Constants and Incident Field Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total polarization of Composite Material = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field+((Volume Fraction*Dipole Moment of Sphere)/Volume of Nanoparticle)
P = ε₀*(ε_m-1)*E+((p*p_s)/V_np)
This formula uses 7 Variables

Variables Used

Total polarization of Composite Material - (Measured in Coulomb per Square Meter) - The Total polarization of Composite Material is the action or process of affecting radiation and especially light so that the vibrations of the wave assume a definite form.
Vacuum Dielectric Constant - The Vacuum Dielectric Constant is the ratio of the permittivity of a substance to the permittivity of space or vacuum.
Real Dielectric Constant - The Real Dielectric Constant is the ratio of the electric permeability of a material to the electric permeability of a vacuum.
Incident Field - (Measured in Joule) - The Incident Field is the subtraction of the polarization factor from the local field in the Lorentz–Lorenz expression.
Volume Fraction - The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here.
Dipole Moment of Sphere - (Measured in Coulomb Meter) - The Dipole Moment of Sphere is a measure of the separation of positive and negative electrical charges within a system.
Volume of Nanoparticle - (Measured in Cubic Meter) - The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.

STEP 1: Convert Input(s) to Base Unit

Vacuum Dielectric Constant: 30 --> No Conversion Required
Real Dielectric Constant: 60 --> No Conversion Required
Incident Field: 40 Joule --> 40 Joule No Conversion Required
Volume Fraction: 50 --> No Conversion Required
Dipole Moment of Sphere: 100 Coulomb Meter --> 100 Coulomb Meter No Conversion Required
Volume of Nanoparticle: 30 Cubic Nanometer --> 3E-26 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = ε₀*(ε_m-1)*E+((p*p_s)/V_np) --> 30*(60-1)*40+((50*100)/3E-26)

Evaluating ... ...

P = 1.66666666666667E+29

STEP 3: Convert Result to Output's Unit

1.66666666666667E+29 Coulomb per Square Meter --> No Conversion Required

FINAL ANSWER

1.66666666666667E+29 ≈ 1.7E+29 Coulomb per Square Meter <-- Total polarization of Composite Material

(Calculation completed in 00.020 seconds)

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national institute of technology meghalaya (NIT Meghalaya), Shillong

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< Optical Properties of Metallic Nanoparticles Calculators

Volume Fraction using Polarization and Dipole Moment of Sphere

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

Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle

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

Volume Fraction using Volume of Nanoparticles

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

Volume of Nanoparticles using Volume Fraction

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

Total Polarization of Composite Material using Dielectric Constants and Incident Field Formula

LaTeX Go

What is Oscillation?

Oscillation refers to the repetitive or periodic variation, typically in time, of some measure about a central value or between two or more different states.

How to Calculate Total Polarization of Composite Material using Dielectric Constants and Incident Field?

Total Polarization of Composite Material using Dielectric Constants and Incident Field calculator uses Total polarization of Composite Material = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field+((Volume Fraction*Dipole Moment of Sphere)/Volume of Nanoparticle) to calculate the Total polarization of Composite Material, The Total Polarization of Composite Material using Dielectric Constants and Incident Field formula is defined as the sum of polarization due to metallic particle and polarization due to sphere, where we can use dielectric constants and incident field to calculate polarization due to metallic particle. Total polarization of Composite Material is denoted by P symbol.

How to calculate Total Polarization of Composite Material using Dielectric Constants and Incident Field using this online calculator? To use this online calculator for Total Polarization of Composite Material using Dielectric Constants and Incident Field, enter Vacuum Dielectric Constant (ε₀), Real Dielectric Constant (ε_m), Incident Field (E), Volume Fraction (p), Dipole Moment of Sphere (p_s) & Volume of Nanoparticle (V_np) and hit the calculate button. Here is how the Total Polarization of Composite Material using Dielectric Constants and Incident Field calculation can be explained with given input values -> 1.7E+29 = 30*(60-1)*40+((50*100)/3E-26).

FAQ

What is Total Polarization of Composite Material using Dielectric Constants and Incident Field?

The Total Polarization of Composite Material using Dielectric Constants and Incident Field formula is defined as the sum of polarization due to metallic particle and polarization due to sphere, where we can use dielectric constants and incident field to calculate polarization due to metallic particle and is represented as P = ε₀*(ε_m-1)*E+((p*p_s)/V_np) or Total polarization of Composite Material = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field+((Volume Fraction*Dipole Moment of Sphere)/Volume of Nanoparticle). The Vacuum Dielectric Constant is the ratio of the permittivity of a substance to the permittivity of space or vacuum, The Real Dielectric Constant is the ratio of the electric permeability of a material to the electric permeability of a vacuum, The Incident Field is the subtraction of the polarization factor from the local field in the Lorentz–Lorenz expression, The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here, The Dipole Moment of Sphere is a measure of the separation of positive and negative electrical charges within a system & The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.

How to calculate Total Polarization of Composite Material using Dielectric Constants and Incident Field?

The Total Polarization of Composite Material using Dielectric Constants and Incident Field formula is defined as the sum of polarization due to metallic particle and polarization due to sphere, where we can use dielectric constants and incident field to calculate polarization due to metallic particle is calculated using Total polarization of Composite Material = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field+((Volume Fraction*Dipole Moment of Sphere)/Volume of Nanoparticle). To calculate Total Polarization of Composite Material using Dielectric Constants and Incident Field, you need Vacuum Dielectric Constant (ε₀), Real Dielectric Constant (ε_m), Incident Field (E), Volume Fraction (p), Dipole Moment of Sphere (p_s) & Volume of Nanoparticle (V_np). With our tool, you need to enter the respective value for Vacuum Dielectric Constant, Real Dielectric Constant, Incident Field, Volume Fraction, Dipole Moment of Sphere & Volume of Nanoparticle 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 Total polarization of Composite Material?

In this formula, Total polarization of Composite Material uses Vacuum Dielectric Constant, Real Dielectric Constant, Incident Field, Volume Fraction, Dipole Moment of Sphere & Volume of Nanoparticle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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