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A point charge +Q is placed at the centr...

A point charge `+Q` is placed at the centre of an isolated conducting shell of radius R. Find the electrostatic potential energy stored outside the spherical shell if the shell also contains charge `+Q` distributed uniformly over it.

Text Solution

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`(Q^(2))/(2piepsilon_(0)R)`
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A charge Q is uniformly distributed inside a non- conducting sphere of radius R . Find the electric potential energy stored in the system.

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Knowledge Check

  • A charge Q is placed at the centre of a spherical conducting shell. Choose the correct option.

    A
    Only `-Q` will appear on its inner surface
    B
    Only `+Q` will appear on its outer surface
    C
    A charge `-Q` will appear on its surface and `+Q` on its outer surface
    D
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  • The electrostatic potential of a uniformly charged thin spherical shell of charge Q and radius R at a distance r from the centre

    A
    `(Q)/(4 pi epsilon_(0)r)` for points outside and `(Q)/(4pi epsilon_(0)R)` for points inside the shell
    B
    `(Q)/(4pi epsilon_(0)e)` for both points inside nad outside the shell
    C
    zero for points outside and `(Q)/(4pi epsilon_(0)r)` for points inside the shell
    D
    zero for both points inside and outside the shell
  • A point charge q is placed at a distance of r from the centre O of an uncharged spherical shell of inner radius R and outer radius 2R. The electric potential at the centre of the shell will be

    A
    `(q)/(4 pi epsilon_(0))((1)/(r)-(1)/(2R))`
    B
    `(q)/(4 pi epsilon_(0)r)`
    C
    `(q)/(4 pi epsilon_(0))((1)/(r)+(1)/(2R))`
    D
    None of these
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    A point charge Q is placed at the origin . Find the electrostatic energy stored outside the sphere of radius R centred at the origen.

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    Find the electrostatic potential energy of a shell of radius R, when a charge Q is spread over its surface.

    Both question (33) and (34) refer to the system of charges as shown in the figure. A spherical shell with an inner radius 'a' and an outer radius 'b' is made of conducting material. A point charge +Q is placed at the centre of the spherical shell and a total charge -q is placed on the shell. Assume that the electrostatic potential is zero at an infinite distance from the spherical shell. The electrostatic potential at a distance R(a lt R lt b) from the centre of the shell is