Two capacitors of capacitance C are connected in series. If one of them is filled with a substance of dielectric constant K, what is the effective capacitance?
A
KC(1+k)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
C(K+1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2KC(1+k)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is AKC(1+k) When a substance of dielectric constant K is filled in the capacitor, its capacity Cm=Kε0Ad=KCo Here, Co=C ∴Cm==KC Now two capacitors of capacities KC and C are connected in series, therefore their effective capacitance 1C′=1KC+1C=1+KKC⇒C′=KC(1+K)