Dielectrics
Describe how a dielectric inserted between the plates of a capacitor changes the properties of the capacitor.
Dielectrics
In a dielectric material, electric charges are not as free to move as they are in a conductor. Instead, the material becomes polarized in the presence of an external electric field. The dielectric constant of a material, \(\kappa\), relates the electric permittivity \(\epsilon\) of that material to the permittivity of free space, \(\epsilon_0\). \[\begin{equation} \kappa = \dfrac{\epsilon}{\epsilon_0} \end{equation}\] Typical dielectrics used in the manufacture of capacitors include glass, paper, ceramic, mica, polyester tantalum; also electrolytes.
The electric field between the plates of an isolated parallel plate capacitor decreases when a dielectric is placed between the plates. \[\begin{equation} \kappa = \dfrac{E_0}{E} \end{equation}\]
The insertion of a dielectric into a capacitor may change the capacitance of the capacitor. \[\begin{equation} C = \kappa C_0 = \dfrac{\kappa \epsilon_0 A}{d} \end{equation}\]
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