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MHTCET 2016 Physics Solved Paper
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© examsnet.com
Question : 11
Total: 50
Three parallel plate air capacitors are connected A in parallel. Each capacitor has plate area
A
3
and the separation between the plates is d, 2d and 3d respectively. The equivalent capacity of combination is (
ε
0
= absolute pemittivity of free space)
7
ε
0
A
18
d
11
ε
0
A
18
d
13
ε
0
A
18
d
17
ε
0
A
18
d
Validate
Solution:
(b) As we know, capacitance of parallel plate capacitor C =
ε
0
A
d
∴ Capacitance for first capacitor,
C
1
:
ε
0
A
3
d
second capacitor,
C
2
=
ε
0
A
6
d
third capacitor,
C
3
=
ε
0
A
9
d
Equivalent capacitance of capacitors
C
1
,
C
2
and
C
3
,arranged in parallel,
C
eq
=
C
1
+
C
2
+
C
3
=
ε
0
A
d
(
1
3
+
1
6
+
1
9
)
=
ε
0
A
d
×
11
18
=
11
ε
0
A
18
d
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