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What is effect of polarization on a given volume of dielectric material?
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When a dielectric material is placed in an electric field, polarization occurs, meaning the positive and negative charges within the material shift slightly in opposite directions. This process has several important effects on the given volume of the dielectric:

1. Formation of Bound Charges

   - Polarization creates bound charges on the surfaces of the dielectric. These charges do not move freely like in a conductor but result from the displacement of positive and negative charges within the material.

2. Reduction in Internal Electric Field

   - The induced dipoles in the dielectric create their own internal electric field, which opposes the external applied field. This reduces the net electric field inside the dielectric.

3. Increase in Capacitance (if placed in a capacitor)

   - When a dielectric is inserted between the plates of a capacitor, its polarization reduces the effective electric field, which allows the capacitor to store more charge for the same applied voltage, thereby increasing capacitance.

4. Energy Storage

   - The polarization of the dielectric stores energy in the form of electrostatic potential energy. This is why dielectrics are used in capacitors for energy storage applications.

5. Induced Dipole Moment

   - The atoms or molecules of the dielectric develop dipole moments (even in non-polar materials), aligning in the direction of the applied electric field.

6. Dielectric Displacement (D)

   - The electric displacement field \( D \) accounts for both free charges and polarization effects:
     \[
     D = \epsilon_0 E + P
     \]
     where:
     - \( \epsilon_0 \) is the permittivity of free space,
     - \( E \) is the electric field,
     - \( P \) is the polarization density.

7. Dielectric Breakdown (at High Fields)

   - If the applied field is too strong, the dielectric may experience breakdown, where it starts conducting electricity, leading to failure.

In summary, polarization significantly affects the behavior of a dielectric, altering its electric field, charge distribution, and energy storage capacity.
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