Two metal plates form a parallel plate capacitor. The distance between the plates is d. A metal sheet of thickness d/2 and of the same area is introduced between the plates. What is the ratio of the capacitance between two plates.
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Answer:
C=
d
ϵ
0
A
C
′
=
d−t+
k
t
ϵ
0
A
After inserting metal plate of
2
d
thickness; t=
2
d
,k=1
⇒C
′
=
d−
2
d
+
2
d
ϵ
0
A
C
′
=
d
ϵ
0
A
=C
Thus, ratio = 1:1
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