Parallel Plate Capacitors with and without Dielectric

A parallel plate capacitor with air as the dielectric has capacitance C. A slab of dielectric constant K and having the same thickness as the separation between plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be :

Half of the space between the plates of a parallel plate capacitor is filled with dielectric material of constant K. Then which of the plots are possible?

A parallel plate capacitor with air as dielectric is charged to a potential .v. using a battery . Removing the battery. The charged capacitor is then connected across an identical uncharged parallel plate capacitor filled with was of dielectric constant k. The common potential of both the capacitor is

A parallel plate capacitor (without dielectric) is charged by a battery and kept connected to the battery. A dielectric salb of dielectric constant 'k' is inserted between the plates fully occupying the space between the plates. The energy density of electric field between the plates will:

A parallel plate capacitor without any dielectric has capacitance C_(0) . A dielectric slab is made up of two dielectric slabs of dielectric constants K and 2K and is of same dimensions as that of capacitor plates and both the parts are of equal dimensions arranged serially as shown. If this dielectric slab is introduced (dielectric K enters first) in between the plates at constant speed, then variation of capacitance with time will be best represented by :

A parallel plate capacitor A is filled with a dielectric whose dielectric constant varies with applied voltage as K = V. An identical capacitor B of capacitance C_0 with air as dielectric is connected to voltage source V_0 = 30V and then connected to the first capacitor after disconnecting the voltage source. The charge and voltage on capacitor.

A parallel-plate capacitor is filled with a dielectric up to one-half of the distance between the plates.The manner in which the potential between the plates varies is illustrated in the figure. Which half (1 or 2) of the space between the plates is filled with the dielectric and what will be the distribution of the potential after the dielectric is taken out of the capacitor provided that (a) the charges on the plates are conserved or (b) the potential difference across the capacitor is conserved?

The plates of a parallel plate capacitor with no dielectirc are connected to a volatage source. Now a dielectric of dielectric constant K is inserted to fill the whose space between the plates with voltage source remainign connected to the capacitor-

A parallel plate capacitor has two layers of dielectrics as shown in figure. This capacitor is connected across a battery, then the ratio of potential difference across the dielectric layers is