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consider a neutral conducting sphere of ...


consider a neutral conducting sphere of radius `a` with a spherical cavity of radius `b`. A charged conducting sphere of radius `c` is placed in cavity . Centre of this sphere coincide with centre of cavity charge on the inner sphere is `q` total self energy of this arrangement is:

A

`(kq^(2))/(2a)-(kq^(2))/(2c)-(kq^(2))/(2b)`

B

`(kq^(2))/(2a)+(kq^(2))/(2c)-(kq^(2))/(2b)`

C

`(kq^(2))/(a)+(kq^(2))/(c)-(kq^(2))/(b)`

D

`(kq^(2))/(2a)-(kq^(2))/(2c)-(kq^(2))/(2b)`

Text Solution

Verified by Experts

The correct Answer is:
B
Energy with in the cavity `=(kq^(2))/(2c)-(kq^(2))/(2b)`
Energy out side the sphere `=(kq^(2))/(2a)`
total energy `=(kq^(2))/(2a)+(kq^(2))/(2c)-(kq^(2))/(2b)`
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