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

GoTotal Polarization of Composite Material using Polarization due to Metallic Particle and Sphere Formula

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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. Check FAQs

P = ε 0 \cdot (ε m - 1) \cdot E + (\frac{p \cdot p s}{V np})

P - Total polarization of Composite Material?ε₀ - Vacuum Dielectric Constant?ε_m - Real Dielectric Constant?E - Incident Field?p - Volume Fraction?p_s - Dipole Moment of Sphere?V_np - Volume of Nanoparticle?

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

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Here is how the Total Polarization of Composite Material using Dielectric Constants and Incident Field equation looks like with Units.

Here is how the Total Polarization of Composite Material using Dielectric Constants and Incident Field equation looks like.

1.7E+29 = 30 \cdot (60 - 1) \cdot 40 + (\frac{50 \cdot 100}{30})

1.7E+29C/m² = 30 \cdot (60 - 1) \cdot 40J + (\frac{50 \cdot 100C*m}{30nm³})

1.7E+29 = 30 \cdot (60 - 1) \cdot 40 + (\frac{50 \cdot 100}{30})

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

Follow our step by step solution on how to calculate Total Polarization of Composite Material using Dielectric Constants and Incident Field?

FIRST Step Consider the formula

P = ε 0 \cdot (ε m - 1) \cdot E + (\frac{p \cdot p s}{V np})

Next Step Substitute values of Variables

∴

P = 30 \cdot (60 - 1) \cdot 40J + (\frac{50 \cdot 100C*m}{30nm³})

Next Step Convert Units

∴

P = 30 \cdot (60 - 1) \cdot 40J + (\frac{50 \cdot 100C*m}{3E-26m³})

Next Step Prepare to Evaluate

∴

P = 30 \cdot (60 - 1) \cdot 40 + (\frac{50 \cdot 100}{3E-26})

Next Step Evaluate

∴

P = 1.66666666666667E+29C/m²

LAST Step Rounding Answer

∴

P = 1.7E+29C/m²

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

Variables

Total polarization of Composite Material

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.

Symbol: P

Measurement: Surface Charge DensityUnit: C/m²

Note: Value should be greater than 0.

Formulas to find Total polarization of Composite Material

Vacuum Dielectric Constant

The Vacuum Dielectric Constant is the ratio of the permittivity of a substance to the permittivity of space or vacuum.

Symbol: ε₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Vacuum Dielectric Constant

Real Dielectric Constant

The Real Dielectric Constant is the ratio of the electric permeability of a material to the electric permeability of a vacuum.

Symbol: ε_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Real Dielectric Constant

Incident Field

The Incident Field is the subtraction of the polarization factor from the local field in the Lorentz–Lorenz expression.

Symbol: E

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Incident Field

Volume Fraction

The Volume Fraction is the total volume of all the nanoparticles divided by the volume of the material here.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Volume Fraction

Dipole Moment of Sphere

The Dipole Moment of Sphere is a measure of the separation of positive and negative electrical charges within a system.

Symbol: p_s

Measurement: Electric Dipole MomentUnit: C*m

Note: Value should be greater than 0.

Formulas to find Dipole Moment of Sphere

Volume of Nanoparticle

The Volume of Nanoparticle is the particular volume of a single nanoparticle of interest.

Symbol: V_np

Measurement: VolumeUnit: nm³

Note: Value should be greater than 0.

Formulas to find Volume of Nanoparticle

Other Formulas to find Total polarization of Composite Material

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

P = P m + P sph

Other formulas in Optical Properties of Metallic Nanoparticles category

Go Volume Fraction using Polarization and Dipole Moment of Sphere

p = P sph \cdot \frac{V np}{p s}

Go Volume Fraction using Volume of Nanoparticles

p = \frac{N np \cdot V np}{V}

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

Total Polarization of Composite Material using Dielectric Constants and Incident Field evaluator 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 evaluate 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 evaluate Total Polarization of Composite Material using Dielectric Constants and Incident Field using this online evaluator? To use this online evaluator 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.

FAQs on Total Polarization of Composite Material using Dielectric Constants and Incident Field

What is the formula to find Total Polarization of Composite Material using Dielectric Constants and Incident Field?

The formula of Total Polarization of Composite Material using Dielectric Constants and Incident Field is expressed as Total polarization of Composite Material = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field+((Volume Fraction*Dipole Moment of Sphere)/Volume of Nanoparticle). Here is an example- 1.7E+29 = 30*(60-1)*40+((50*100)/3E-26).

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

With 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) we can find Total Polarization of Composite Material using Dielectric Constants and Incident Field using the formula - Total polarization of Composite Material = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field+((Volume Fraction*Dipole Moment of Sphere)/Volume of Nanoparticle).

What are the other ways to Calculate Total polarization of Composite Material?

Here are the different ways to Calculate Total polarization of Composite Material-

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

Can the Total Polarization of Composite Material using Dielectric Constants and Incident Field be negative?

No, the Total Polarization of Composite Material using Dielectric Constants and Incident Field, measured in Surface Charge Density cannot be negative.

Which unit is used to measure Total Polarization of Composite Material using Dielectric Constants and Incident Field?

Total Polarization of Composite Material using Dielectric Constants and Incident Field is usually measured using the Coulomb per Square Meter[C/m²] for Surface Charge Density. Coulomb per Square Centimeter[C/m²], Coulomb per Square Inch[C/m²], Abcoulomb per Square Meter[C/m²] are the few other units in which Total Polarization of Composite Material using Dielectric Constants and Incident Field can be measured.

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

​GoTotal Polarization of Composite Material using Polarization due to Metallic Particle and Sphere Formula

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

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

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

Other Formulas to find Total polarization of Composite Material

Other formulas in Optical Properties of Metallic Nanoparticles category

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

FAQs on Total Polarization of Composite Material using Dielectric Constants and Incident Field

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GoTotal Polarization of Composite Material using Polarization due to Metallic Particle and Sphere Formula