Polarization Calculator

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✖Electric Susceptibility is a measure of how easily a material can be polarized by an external electric field.ⓘ Electric Susceptibility [Χ_e]			+10% -10%
✖Electric Field Strength, the force per unit charge experienced by a test charge at a given point in space.ⓘ Electric Field Strength [E]			+10% -10%

✖Polarization, which is the electric dipole moment per unit volume induced in a dielectric material in response to an applied electric field.ⓘ Polarization [P]

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Formula

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Polarization

Formula

`"P" = "Χ"_{"e"}*"[Permitivity-vacuum]"*"E"`

Example

`"2.1E^-6C*m²/V"="800"*"[Permitivity-vacuum]"*"300V/m"`

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Polarization Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polarization = Electric Susceptibility*[Permitivity-vacuum]*Electric Field Strength
P = Χ_e*[Permitivity-vacuum]*E
This formula uses 1 Constants, 3 Variables

Constants Used

[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12

Variables Used

Polarization - (Measured in Coulomb Square Meter per Volt) - Polarization, which is the electric dipole moment per unit volume induced in a dielectric material in response to an applied electric field.
Electric Susceptibility - Electric Susceptibility is a measure of how easily a material can be polarized by an external electric field.
Electric Field Strength - (Measured in Volt per Meter) - Electric Field Strength, the force per unit charge experienced by a test charge at a given point in space.

STEP 1: Convert Input(s) to Base Unit

Electric Susceptibility: 800 --> No Conversion Required
Electric Field Strength: 300 Volt per Meter --> 300 Volt per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = Χ_e*[Permitivity-vacuum]*E --> 800*[Permitivity-vacuum]*300

Evaluating ... ...

P = 2.124E-06

STEP 3: Convert Result to Output's Unit

2.124E-06 Coulomb Square Meter per Volt --> No Conversion Required

FINAL ANSWER

2.124E-06 ≈ 2.1E-6 Coulomb Square Meter per Volt <-- Polarization

(Calculation completed in 00.004 seconds)

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Credits

Created by Souradeep Dey

National Institute of Technology Agartala (NITA), Agartala, Tripura

Souradeep Dey has created this Calculator and 25+ more calculators!

Verified by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

Priyanka Patel has verified this Calculator and 10+ more calculators!

< 17 Electromagnetic Radiation and Antennas Calculators

Average Power Density of Half-Wave Dipole

Go Average Power Density = (0.609*Intrinsic Impedance of Medium*Amplitude of Oscillating Current^2)/(4*pi^2*Radial Distance From Antenna^2)*sin((((Angular Frequency of Half Wave Dipole*Time)-(pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2

Magnetic Field for Hertzian Dipole

Go Magnetic Field Component = (1/Dipole Distance)^2*(cos(2*pi*Dipole Distance/Wavelength of Dipole)+2*pi*Dipole Distance/Wavelength of Dipole*sin(2*pi*Dipole Distance/Wavelength of Dipole))

Maximum Power Density of Half-Wave Dipole

Go Maximum Power Density = (Intrinsic Impedance of Medium*Amplitude of Oscillating Current^2)/(4*pi^2*Radial Distance From Antenna^2)*sin((((Angular Frequency of Half Wave Dipole*Time)-(pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2

Power Radiated by Half-Wave Dipole

Go Power Radiated by Half-wave Dipole = ((0.609*Intrinsic Impedance of Medium*(Amplitude of Oscillating Current)^2)/pi)*sin(((Angular Frequency of Half Wave Dipole*Time)-((pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2

Power that Crosses Surface of Sphere

Go Power Crossed at Sphere Surface = pi*((Amplitude of Oscillating Current*Wavenumber*Short Antenna Length)/(4*pi))^2*Intrinsic Impedance of Medium*(int(sin(Theta)^3*x,x,0,pi))

Electric Field due to N Point Charges

Go Electric Field due to N Point Charges = sum(x,1,Number of Point Charges,(Charge)/(4*pi*[Permitivity-vacuum]*(Distance from Electric Field-Charge Distance)^2))

Poynting Vector Magnitude

Go Poynting Vector = 1/2*((Dipole Current*Wavenumber*Source Distance)/(4*pi))^2*Intrinsic Impedance*(sin(Polar Angle))^2

Total Radiated Power in Free Space

Go Total Radiated Power in Free Space = 30*Amplitude of Oscillating Current^2*int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi)

Radiated Resistance

Go Radiation Resistance = 60*(int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi))

Time Average Radiated Power of Half-Wave Dipole

Go Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi)

Polarization

Go Polarization = Electric Susceptibility*[Permitivity-vacuum]*Electric Field Strength

Radiation Resistance of Half-Wave Dipole

Go Radiation Resistance of Half-wave Dipole = (0.609*Intrinsic Impedance of Medium)/pi

Directivity of Half-Wave Dipole

Go Directivity of Half Wave Dipole = Maximum Power Density/Average Power Density

Electric Field for Hertzian Dipole

Go Electric Field Component = Intrinsic Impedance*Magnetic Field Component

Radiation Efficiency of Antenna

Go Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity

Average Power

Go Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance

Radiation Resistance of Antenna

Go Radiation Resistance = 2*Average Power/Sinusoidal Current^2

Polarization Formula

Polarization = Electric Susceptibility*[Permitivity-vacuum]*Electric Field Strength
P = Χ_e*[Permitivity-vacuum]*E

What is the significance of polarization in electromagnetism?

In the domains of materials science and electromagnetic, polarization is a key idea with important applications. Polarization is the result of electric dipoles in a dielectric substance aligning themselves in the direction of an applied electric field. The creation of a net electric dipole moment per unit volume as a result of this alignment affects the electrical characteristics of the material.

The way that polarization affects how dielectric materials behave makes it important. It has an impact on the material's overall response to electric fields, electric susceptibility, and capacitance. Polarization is a fundamental concept in the design and operation of many electronic devices, including dielectric materials used in insulators and capacitors.

How to Calculate Polarization?

Polarization calculator uses Polarization = Electric Susceptibility*[Permitivity-vacuum]*Electric Field Strength to calculate the Polarization, Polarization describes how electric dipoles inside a dielectric material align or orient in response to an external electric field. Polarization is denoted by P symbol.

How to calculate Polarization using this online calculator? To use this online calculator for Polarization, enter Electric Susceptibility (Χ_e) & Electric Field Strength (E) and hit the calculate button. Here is how the Polarization calculation can be explained with given input values -> 2.1E-6 = 800*[Permitivity-vacuum]*300.

FAQ

What is Polarization?

Polarization describes how electric dipoles inside a dielectric material align or orient in response to an external electric field and is represented as P = Χ_e*[Permitivity-vacuum]*E or Polarization = Electric Susceptibility*[Permitivity-vacuum]*Electric Field Strength. Electric Susceptibility is a measure of how easily a material can be polarized by an external electric field & Electric Field Strength, the force per unit charge experienced by a test charge at a given point in space.

How to calculate Polarization?

Polarization describes how electric dipoles inside a dielectric material align or orient in response to an external electric field is calculated using Polarization = Electric Susceptibility*[Permitivity-vacuum]*Electric Field Strength. To calculate Polarization, you need Electric Susceptibility (Χ_e) & Electric Field Strength (E). With our tool, you need to enter the respective value for Electric Susceptibility & Electric Field Strength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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