wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

A parallel plate capacitor having plates of area S and plate separation d, has capacitance C1 in air. When two dielectrics of different relative permittivities (ε1=2 and ε2=4) are introduced between the two plates as shown in the figure, the capacitance becomes C2. The ratio C2C1 is :

A
6/5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
5/3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
7/5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
7/3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 7/3




Capacitance ϵ0Ad
C1=ϵ0Sd

From the figure
C5=ϵ1S2d

C3 and C4 are in series.

C3=ϵ1S2d2; C4=ϵ2S2d2
C34(series)=C3C4C3+C4

C34 and C5 are parllel so

C2=C34+C5=73ϵ0Sd

C2C1=73

flag
Suggest Corrections
thumbs-up
1
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Gauss' Law Application - Electric Field Due to a Sphere and Thin Shell
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon