एंड कैपेसिटी ऑफ सेम कैपेसिटी इज आर कनेक्टेड इन पैरेलल टोटल कैपेसिटी इज क्वेश्चन
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Answer:
Initial energy of the combined system
U
1
=
2
1
CV
1
2
+
2
1
CV
1
2
=
2
C
(V
1
2
+V
2
2
)
On joining the two condensers in parallel, common potential.
V=
C+C
CV
1
+CV
2
=
2
V
1
+V
2
∴ Final energy of the combined system
U
2
=
2
1
(C+C)(
2
V
1
+V
2
)
2
Decrease in energy
ΔU=U
1
−U
2
=
2
1
C(V
1
2
+V
2
2
)−
2
1
(2C)(
2
V
1
+V
2
)
2
=
2
C
[2(V
1
2
+V
2
2
)−(V
1
+V
2
)
2
]=
4
C
[2V
1
2
+2V
2
2
−V
1
2
−V
2
2
−2V
1
+V
2
]=
4
C
(V
1
−V
2
)
2
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