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MHT CET 2017 Physics Solved Paper
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© examsnet.com
Question : 7
Total: 50
Two parallel plate air capacitors of same capacity C are connected in series to a battery of emf E. Then one of the capacitors is completely filled with dielectric material of constant K. The change in the effective capacity of the series combinationis
C
2
[
K
−
1
K
+
1
]
2
C
[
K
−
1
K
+
1
]
C
2
[
K
+
1
K
−
1
]
C
2
[
K
−
1
K
+
1
]
2
Validate
Solution:
(a) Effective capacity of the series combination of capacitors
1
C
1
=
1
C
+
1
C
=
2
5
or,
C
1
=
C
2
Effective capacity of the series combination of capacitors with dielectric material
1
C
1
=
1
C
+
1
K
C
;
1
C
2
=
1
C
[
1
+
1
K
]
or,
C
2
=
C
(
1
+
1
K
)
=
C
K
(
K
+
1
)
∴ Change in effective capacitance
Δ
C
=
C
2
−
C
1
=
C
K
(
K
+
1
)
−
C
2
=
C
[
K
K
+
1
−
1
2
]
=
C
[
2
K
−
K
−
1
2
(
K
+
1
)
]
=
C
2
[
K
−
1
K
+
1
]
© examsnet.com
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