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Byju's Answer
Standard XII
Physics
Capacitor in an AC Circuit
A 12pF capaci...
Question
A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor?
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Solution
Step 1 : Formula of Energy stored in capacitor
The Energy stored
U
in a capacitor of Capacitance
C
, Charge
Q
and Potential Difference
V
across it is given by:
U
=
1
2
C
V
2
=
Q
2
2
C
=
1
2
Q
V
.
.
.
.
(
1
)
Step 2: Calculation of Energy stored
Given, Capacitance
C
=
12
p
F
=
12
×
10
−
12
F
And Potential difference
V
=
50
V
So using the first formula from Equation
(
1
)
, we get Energy stored as:
U
=
1
2
C
V
2
=
1
2
×
[
12
×
10
−
12
F
]
×
[
(
50
V
)
2
]
=
15
×
10
−
9
J
U
=
15
n
J
Hence Energy stored in capacitor is
15
n
J
.
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