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amankr
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How can we show that the bound charge in a homogeneous linear dielectric is proportional to the density of the free charge. I have a handful of equations but still I can't work this out.
Bound charge in linear dielectric refers to the electric charges that are present within the material of a dielectric. These charges are not free to move and are bound to the atoms or molecules of the material. They are responsible for the polarization of the material in an electric field.
Bound charge is different from free charge in that it is not free to move and is confined to the material of the dielectric. Free charge, on the other hand, is able to move and is not bound to the material. Free charge is typically found in conductors.
Bound charge and electric fields are closely related. When an electric field is applied to a dielectric material, the bound charges within the material become polarized, creating an induced electric field in the opposite direction. This induced electric field helps to reduce the overall electric field within the material.
Bound charge plays a significant role in determining the capacitance of a dielectric material. The presence of bound charges in the material results in a decrease in the overall electric field, which in turn increases the capacitance of the material. This is because a higher capacitance means that a greater amount of charge can be stored in the material at a given voltage.
Yes, bound charge can be removed from a dielectric material by applying a strong enough electric field to overcome the polarizing forces of the material. This process is known as dielectric breakdown and can result in the material losing its insulating properties and becoming a conductor.