The expression for the capacity of the capacitor formed by compound dielectric placed between the plates of a parallel plate capacitor as shown in figure, will be (area of plate $ = A$)
$\frac{{{\varepsilon _0}A}}{{\left( {\frac{{{d_1}}}{{{K_1}}} + \frac{{{d_2}}}{{{K_2}}} + \frac{{{d_3}}}{{{K_3}}}} \right)}}$
$\frac{{{\varepsilon _0}A}}{{\left( {\frac{{{d_1} + {d_2} + {d_3}}}{{{K_1} + {K_2} + {K_3}}}} \right)}}$
$\frac{{{\varepsilon _0}A({K_1}{K_2}{K_3})}}{{{d_1}{d_2}{d_3}}}$
${\varepsilon _0}\left( {\frac{{A{K_1}}}{{{d_1}}} + \frac{{A{K_2}}}{{{d_2}}} + \frac{{A{K_3}}}{{{d_3}}}} \right)$
A source of potential difference $V$ is connected to the combination of two identical capacitors as shown in the figure. When key ' $K$ ' is closed, the total energy stored across the combination is $E _{1}$. Now key ' $K$ ' is opened and dielectric of dielectric constant 5 is introduced between the plates of the capacitors. The total energy stored across the combination is now $E _{2}$. The ratio $E _{1} / E _{2}$ will be :
Two identical capacitors $1$ and $2$ are connected in series to a battery as shown in figure. Capacitor $2$ contains a dielectric slab of dielectric constant k as shown. $Q_1$ and $Q_2$ are the charges stored in the capacitors. Now the dielectric slab is removed and the corresponding charges are $Q’_1$ and $Q’_2$. Then
Explain polarization of nonpolar molecule in uniform electric field and define the linear isotropic dielectrics.
When a slab of dielectric material is introduced between the parallel plates of a capacitor which remains connected to a battery, then charge on plates relative to earlier charge
A parallel plate capacitor has plates with area $A$ and separation $d$ . A battery charges the plates to a potential difference $V_0$ . The battery is then disconnected and a dielectric slab of thickness $d$ is introduced. The ratio of energy stored in the capacitor before and after the slab is introduced, is