A parallel plate air capacitor is connected to a battery. The quantities charge, voltage, electric field and energy associated with this capacitor are given by and U0 respectively. A dielectric slab is now introduced to fill the space between the plates with battery still in connection. The corresponding quantities now given by Q,V,E and U are related to the previous quantities as :
With the introduction of dielectric slab, C increases but V remains unchanged because battery is connected.
Charge (Q) increases due to increase in C,
Also,
Then,