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Q. The capacity and the energy stored in a parallel plate condenser with air between its plates are respectively $C_{0}$ and $W_{0} .$ 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

Electrostatic Potential and Capacitance

Solution:

When a dielectric $K$ is introduced in a parallel plate condenser, its capacity becomes $K$ times.
Hence $C'=5 C_{0}$
Energy stored, $W_{0}=\frac{q^{2}}{2 C_{0}}$
$\therefore W'=\frac{q^{2}}{2 C'}=\frac{q^{2}}{2 \times 5 C_{0}}$
$\Rightarrow W'=\frac{W_{0}}{5}$