Question

A capacitor stores $50\mu C$ charge when connected across a battery. When the gap between the plates is filled with a dielectric, a charge of $100\mu C$ flows through the battery. Find the dielectric constant of the material inserted.

Answer 1

Initial charge store = $50\mu C$

Let the dielectric constant of the material induced b and k.

Now when the extra charge flow through battery is $100\mu C.$

So, net charge stored in capacitor

$=150\mu C.$

Now $C_2=B{C}_1$

$\frac{K{\in }_{0}A}{d_1}=\frac{3{\in }_{0}A}{d}$ and $K=3$