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AIPMT 2008 Physics and Chemistry Paper
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© examsnet.com
Question : 29
Total: 100
The energy required to charge a parallel plate condenser of plate separation
d
and plate area of cross-section A such that the uniform electric field between the plates is
E
, is :
ε
0
E
2
Ad
1
2
ε
0
E
2
Ad
1
2
ε
0
E
2
/
Ad
ε
0
E
2
/
Ad
Validate
Solution:
Energy stored in capacitor for field
E
=
1
2
CV
2
=
1
2
(
ε
0
A
d
)
(
E
⋅
d
)
2
=
1
2
ε
0
AE
2
d
Energy stored in capacitor + Energy loss in the process of charging = Energy given by cell.
=
(
A
ε
0
d
)
V
2
=
2
×
Energy stored in capacitor
Since energy stored in capacitor = Energy loss in the process of storing the charge in capacitor.
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