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Three concentric spherical conducting shells A, B and C of radii a, 2a and 4a are initially given charges +Q, -2Q and +Q respectively. The charge on the middle spherical shell B after switches `S_(1)` and `S_(2)` are simultaneously closed, will be

A

`-Q`

B

`-(Q)/(2)`

C

`+Q`

D

`(+3Q)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

The electric potential potential of shell B is zero
`V_(B)=0`
`(kq)/(2a)+(kQ)/(4a)=0`
`thereforeq=-(Q)/(2)`
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Knowledge Check

  • Two concentric spherical conducting shells of radii 'a' and 2a are initially given charges +2Q and +Q respectively as shown. The total heat dissipated after switch 'S' has been closed is (where k=(1)/(4piepsilon_(0)) )

    A
    `(5kQ^(2))/(4a)`
    B
    `(kQ^(2))/(a)`
    C
    `(kQ^(2))/(2a)`
    D
    `(kQ^(2))/(4a)`

  • Three concentric spherical shells A, B and C having uniformly distributed total charges +Q, -2Q and +Q respectively are placed as shown. The potential at the centre will be -

    A
    `(-Q)/(4pi epsilon_(0)a)`
    B
    `(-Q)/(12pi epsilon_(0)a)`
    C
    `(Q)/(12pi epsilon_(0)a)`
    D
    zero

  • Three concentric spherical conductors A, B, and C of radii r, 2R, and 4R, respectively. A and C is shorted and B is uniformly charged (charge +Q). Potential at B is

    A
    `Q/4piepsilon_0R`
    B
    `Q/16piepsilon_0R`
    C
    `Q/48piepsilon_0R`
    D
    `5Q//48piepsilon_0R`
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