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

Question

A parallel plate capacitor with air as a dielectric has capacitance C . A slab of dielectric constant K , having same thickness as the separation between the plates is introduced so as to fill one fourth of the capacitor as shown in the figure. The new capacitance will be, K + 3 C 4, K + 2 C 4, K + 1 C 4, K C 4

MARKS App · Accepted Answer

The two condensers with K and with air are in parallel. With air, C 1 = ε 0 d 3 A 4 = 3 ε 0 A 4 d With medium, C 2 = ε 0 K d A 4 = ε 0 A K 4 d ∴ C ′ = C 1 + C 2 or C ′ = 3 ε 0 A 4 d + ε 0 A K 4 d = ε 0 A d 3 4 + K 4 or C ′ = C 4 K + 3 ∵ C = A ε 0 d

Search any question & find its solution

Looking for more such questions to practice?