A parallel plate capacitor with air medium between the plates has a capacitance of 10 F . The area of capacitor is divided into two equal halves and filled with two media (as shown in figure) having dielectric constant K₁=2 and K ₂=4 . The capacitance of the system will be

Step-by-step solution

C = ₀ ~A ~d =10 F After dividing the area into two equal halves, the resultant capacitance is calculated as, aligned C _ eq & = C ₁+ C ₂ & = K ₁ ₀ ~A ₁ ~d + K ₁ ₀ ~A ₁ ~d = 2 ₀ ~A 2 ~d + 4 ₀ ~A 2 ~d C _ eq & = ₀ ~A ~d + 2 ₀ ~A ~d = 3 ₀ ~A ~d =3 10=30 F aligned