Two identical parallel plate (air) capacitors `c_(1) and c_(2)` have capacitances C each. The space between their plates is now filled with dielectrics as shown. If two capacitors still have equal capacitance, obtain the relation betweenn dielectric constants `k,k_(1) and k_(2)`.

Three identical parallel plate (air) capacitors C_(1), C_(2), C_(3) have capacitances C each. The space between their plates is now filled with dielectrics as shown. If all the three capacitors still have equal capacitances, obtain the relation between the dielectric constants K, K_(1), K_(2), K_(3) and K_(4) .

A parallel plate air capacitor has capacitance C. Half of space between the plates is filled with dielectric of dielectric constant K as shown in figure . The new capacitance is C . Then

Two identical capacitors of plate dimensions: l xx b and plate separation d have dielectric slabs filled in between the space of the plates as shown in the figures. if capacitance of both capacitor is same, Obtain the relation between the dielectric constant K, K_(1) and K_(2) .

Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric constants K_(1),K_(2) and K_(3) . The first capacitor is filled as shown in fig. I, and the second one is filled as shown in fig. II. If these two modified capacitors are charged by the same potential V, the ratio of the energy stored in the two, would be ( E_(1) refers to capacitor (I) and E_(2) to capacitor (II)):

Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric constants K_(1), K_(2) and K_(3) . The first capacitor is filled as shown in fig. I, and the second one is filled as shown in fig. II. If these two modified capacitors are charged by the same potential V, the ratio of the energy stored in the two, would be ( E_(1) refers to capacitor (I) and E_(2) to capacitor (II)):

You are given an air filled parallel plate capacitor C_1 . The space between its plates is now filled with slabs of dielectric constants K_1 and K_2 as shown in C_2 . Find the capacitance of C_2 .

Two parallel plate capacitors, each of capacitance 40 muF , are connected is series. The space between the plates of one capacitor is filled with a dielectric material of dielectric constant K =4. Find the equivalent capacitacne of the system.

Two parallel plate capacitors, each of capacitance 40 muF, are connected is series. The space between the plates of one capacitor is filled with a dielectric material of dielectric constant K =4. Find the equivalent capacitacne of the system.

Two parallel plate capacitors, each of capacitance 40 muF, are connected is series. The space between the plates of one capacitor is filled with a dielectric material of dielectric constant K =4. Find the equivalent capacitacne of the system.