How does the polarised dielectric modify the original external field inside it ?
When polar or non-polar molecules placed in an external electric field a dielectric develops a net dipole moment.
The dipole moment per unit volume is called polarisation and is denoted by $\overrightarrow{\mathrm{P}}$.
For linear isotropic dielectrics,
$\overrightarrow{\mathrm{P}} \propto \overrightarrow{\mathrm{E}}$
$\therefore\overrightarrow{\mathrm{P}}=\chi_{e} \overrightarrow{\mathrm{E}}$
where $\chi_{e}$ is a constant characteristic of the dielectric and is known as the electric susceptibility of the dielectric medium.
Consider a rectangular dielectric slab placed in a uniform external field $\overrightarrow{\mathrm{E}}_{0}$ parallel to two of its faces as shown in figure.
This field causes a uniform polarization $\overrightarrow{\mathrm{P}}$ of the dielectric.
Every volume element $\Delta \mathrm{V}$ of the slab has a dipole moment $\overrightarrow{\mathrm{P}} \Delta \mathrm{V}$ in the direction of the field. The volume element $\Delta \mathrm{V}$ is macroscopically small but contains a very large number of molecula dipoles. It has no net charge (Total charge on dipole is zero) but has net dipole moment. The positive charge of one dipole sits close to the negative charge of the adjacent dipole in rectangular slab.
A capacitor stores $60\,\mu C$ charge when connected across a battery. When the gap between the plates is filled with dielectric, a charge of $120\,\mu C$ flows through the battery. The dielectric constant of the dielectric inserted is
Two condensers of capacities $2C$ and $C$ are joined in parallel and charged upto potential $V$. The battery is removed and the condenser of capacity $C$ is filled completely with a medium of dielectric constant $K$. The $p.d.$ across the capacitors will now be
The capacitance of a parallel plate capacitor with air as medium is $6\, \mu F$. With the introduction of a dielectric medium, the capacitance becomes $30\, \mu F$. The permittivity of the medium is..........$C ^{2} N ^{-1} m ^{-2}$
$\left(\varepsilon_{0}=8.85 \times 10^{-12} C ^{2} N ^{-1} m ^{-2}\right)$
Give examples of polar and non-polar molecules.
Initially the circuit is in steady state. Now one of the capacitor is filled with dielectric of dielectric constant $2$ . Find the heat loss in the circuit due to insertion of dielectric