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Two concentric spherical shells of radiu...

Two concentric spherical shells of radius `R_(1)` and `R_(2) (R_(2) gt R_(1))` are having uniformly distributed charges `Q_(1)` and `Q_(2)` respectively. Find out total energy of the system.

Text Solution

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The correct Answer is:
`Q_(1)^(2)/(8 pi epsi_(0) R_(1))+Q_(2)^(2)/(8 pi epsi_(0)R_(2))+(Q_(1)Q_(2))/(4 pi epsi_(0) R_(2))`
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Knowledge Check

  • The capacitance of two concentric spherical shells of radii R_(1) and R_(2) (R_(2) gt R_(1)) is

    A
    `4pi epsi_(0)R_(2)`
    B
    `4pi epsi_(0) ((R_(2)-R_(1)))/(R_(1)R_(2))`
    C
    `4pi epsi_(0) (R_(1)R_(2))/((R_(2)-R_(1)))`
    D
    `4pi epsi_(0) R^(1)`

  • The concentric, thin metallic spheres of radii r_(1) and r_(2) (r_(1) gt r_(2)) carry charges q_(1) and q_(2) respectively. Then the electric potential at distance r (r_(2) lt r lt r_(1)) will be (1)/(4pi epsilon_(0)) times

    A
    `(q_(1) + q_(2))/(r )`
    B
    `(q_(1))/(r_(1)) + (q_(2))/(r )`
    C
    `(q_(1))/(r_(2)) + (q_(2))/(r_(2))`
    D
    `(q_(1))/(r_(2)) + (q_(2))/(r_(1))`

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