Question

एंड कैपेसिटी ऑफ सेम कैपेसिटी इज आर कनेक्टेड इन पैरेलल टोटल कैपेसिटी इज क्वेश्चन​

Answer 1

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