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Polarization Calculator

Polarization Formula:

\[ P = \chi_e \cdot \varepsilon_0 \cdot E \]

(dimensionless)
V/m

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1. What is Polarization?

Polarization is the electric dipole moment per unit volume induced in a dielectric material in response to an applied electric field. It represents how much the material's molecules align with the external field.

2. How Does the Calculator Work?

The calculator uses the polarization formula:

\[ P = \chi_e \cdot \varepsilon_0 \cdot E \]

Where:

Explanation: The formula calculates the induced polarization in a dielectric material based on its electric susceptibility and the applied electric field strength.

3. Importance of Polarization Calculation

Details: Polarization calculation is crucial for understanding dielectric properties, designing capacitors, analyzing electromagnetic wave propagation, and studying material responses to electric fields.

4. Using the Calculator

Tips: Enter electric susceptibility (dimensionless) and electric field strength in V/m. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is electric susceptibility?
A: Electric susceptibility is a measure of how easily a material can be polarized by an external electric field. It indicates the material's response to an applied electric field.

Q2: What is the permittivity of vacuum?
A: The permittivity of vacuum (ε₀) is a fundamental physical constant equal to approximately 8.85 × 10⁻¹² farads per meter (F/m).

Q3: What are typical values for electric susceptibility?
A: Electric susceptibility varies widely depending on the material. For vacuum, χₑ = 0; for air, χₑ ≈ 0; for water, χₑ ≈ 80; for various dielectrics, χₑ typically ranges from 1 to 1000.

Q4: How does polarization relate to dielectric constant?
A: The relative permittivity (dielectric constant) εᵣ is related to electric susceptibility by εᵣ = 1 + χₑ, where χₑ is the electric susceptibility.

Q5: What are the units of polarization?
A: Polarization is measured in coulombs per square meter (C/m²), which represents the dipole moment per unit volume.

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