JEE Main 2022 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Main 2022

Two capacitors, each having capacitance 40 are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant K such that the equivalence capacitance of the system became 24 . The value of K will be :

Answer: (A)

Solution

The capacitances are 40K and 40 in series: ( 40)/(40K + 40) = 24, so 40K = 24(K + 1), i.e. 16K = 24 and K = 1.5.

Question ID VK-034725