Combination Of Capacitors

Determine the charge on the capacitor in the following circuit :

Two identical parallel plate capacitors, of capacitance each, have plates of area , separated by a distance . The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric constants and . The first capacitor is filled as shown in fig. , and the second one is filled as shown in fig. . If these two modified capacitors are charged by the same potential , the ratio of the energy stored in the two, would be ( refers to capacitor (I) and to capacitor (II) :

A capacitor C₁ of capacitance 5 μF is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C₂ of capacitance 10 μF as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C₂ is ____ μC.

A parallel plate capacitor has plate area and plates separation The space between the plates is filled with a dielectric medium of a thickness and dielectric constant The capacitance of the system is :

As shown in the figure, two parallel plate capacitors having equal plate area of 200 cm2 are joined in such a way that a ≠ b. The equivalent capacitance of the combination is x ∈0 F. The value of x is_____.