The capacity and the energy stored in a parallel plate condenser with air between its plates are respectively ${C_o}$ and ${W_o}$. If the air is replaced by glass (dielectric constant $= 5$ ) between the plates, the capacity of the plates and the energy stored in it will respectively be
Medium
Download our app for free and get started
(b) When a dielectric $K$ is introduced in a parallel plate condenser its capacity becomes $K$ times. Hence $C' = 5{C_0}$. Energy stored ${W_0} = \frac{{{q^2}}}{{2{C_0}}}$
$W' = \frac{{{q^2}}}{{2C'}} = \frac{{{q^2}}}{{2 \times 5{C_0}}}$ $==>$ $W' = \frac{{{W_0}}}{5}$
$W' = \frac{{{q^2}}}{{2C'}} = \frac{{{q^2}}}{{2 \times 5{C_0}}}$ $==>$ $W' = \frac{{{W_0}}}{5}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A $2 \ \mu F$ capacitor is charged as shown in figure. The percentage of its stored energy dissipated after the switch $S$ is turned to position $2$ isView Solution
- 2A solid conducting sphere, having a charge $Q$, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be $V$. If the shell is now given a charge of $-4\, Q$, the new potential difference between the same two surface is......$V$View Solution
- 3A capacitor of capacitance $1$ $\mu F$ withstands the maximum voltage $6$ $kV$ while a capacitor of $2$ $\mu F$ withstands the maximum voltage $4$ $kV$. What maximum voltage will the system of these two capacitor withstands if they are connected in series?......$kV$View Solution
- 4Two thin conducting shells of radii $R$ and $3R$ are shown in the figure. The outer shell carries a charge $+ Q$ and the inner shell is neutral. The inner shell is earthed with the help of a switch $S$.View Solution
- 5Twenty seven drops of water of the same size are equally and similarly charged. They are then united to form a bigger drop. By what factor will the electrical potential changes.........$times$View Solution
- 6If $E$ is the electric field intensity of an electrostatic field, then the electrostatic energy density is proportional toView Solution
- 7Figure shows three circular arcs, each of radius $R$ and total charge as indicated. The net electric potential at the centre of curvature isView Solution
- 8An empty thick conducting shell of inner radius $a$ and outer radius $b$ is shown in figure.If it is observed that the inner face of the shell carries a uniform charge density $-\sigma$ and the surface carries a uniform charge density $ '\sigma '$View Solution
If another point charge $q_B$ is also placed at a distance $c ( > b) $ the center of shell, then choose the correct statements
- 9Four capacitors are connected in a circuit as shown in the figure. The effective capacitance in $\mu F$ between points $A$ and $B$ will beView Solution
- 10View SolutionThe capacity of a parallel plate condenser depends on