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Energy Stored in Capacitor
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The capacitance of a variable capacitor
Question
The capacitance of a variable capacitor joined with the battery of
1
0
0
V is changed from
2
μ
F
to
1
0
μ
F
. What is the change in the energy stored in it?
A
2
×
1
0
−
2
J
B
2
.
5
×
1
0
−
2
C
6
.
5
×
1
0
−
2
J
D
4
×
1
0
−
2
J
Easy
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Solution
Verified by Toppr
Correct option is D)
Given:
V
o
l
t
a
g
e
=
V
=
1
0
0
V
C
1
=
2
μ
F
(Initial capacitance)
C
2
=
1
0
μ
F
(Final capacitance)
As
E
=
2
1
C
V
2
Now
E
1
=
2
1
C
1
V
2
=
2
1
×
2
×
1
0
−
6
×
V
2
E
2
=
2
1
C
2
V
2
=
2
1
×
1
0
×
1
0
−
6
×
V
2
Δ
E
=
E
2
−
E
1
=
2
1
×
1
0
×
1
0
−
6
×
V
2
−
2
1
×
2
×
1
0
−
6
×
V
2
Δ
E
=
2
1
×
8
×
1
0
−
6
×
V
2
Δ
E
=
2
1
×
8
×
1
0
−
6
×
1
0
0
2
Δ
E
=
4
×
1
0
−
2
J
Hence the correct option is (D).
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