Question

i.  A dielectric slab of thickness 't’ is kept between the plates of a parallel plate capacitor with plate separation 'd' (t < d). Derive the expression for the capacitance of the capacitor.

ii. A capacitor of capacity C₁ is charged to the potential of V_o. On disconnecting with the battery, it is connected with an uncharged capacitor of capacity C₂ as shown in the adjoining figure. Find the ratio of energies before and after the connection of switch S.

Answer 1

(i) Derivation of the expression for capacitance with dielectric slab (t < d)

(ii) 

Before the connection of switch S,