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Find the electric field potentail and st...

Find the electric field potentail and strength at the centre of a hemisphere fo raidus `R` ahcged uniformly with the the surface density `sigma`.

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Find the potential varphi at the edge of a thin disc of radius R carrying the uniformly distributed charge with surface density sigma .

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Knowledge Check

  • The electric field intensity in free space at a distance 'r' outside a charged conducting sphere of radius 'R' in terms of surface charge density sigma is

    A
    `(sigma)/(epsi_(0))[(R)/(r)]^(2)`
    B
    `(epsi_(0))/(sigma)[(R)/(r)]^(2)`
    C
    `(R)/(r)[(sigma)/(epsi_0)]^(2)`
    D
    `(R)/(sigma)[(r)/(epsi_(0))]^(2)`

  • Electric field intensity in free space at a distance r outside the charged conducting sphere of radius R in terms of surface charge density sigma is

    A
    `sigma/epsi_(0)[R/r]^2`
    B
    `epsi_(0)/sigma[R/r]^2`
    C
    `R/r[sigma/epsi_(0)]^2`
    D
    `R/sigma[r/epsi_(0)]^2`

  • A total charge of 5 muC is distributed uniformly on the surface of the thin walled semispherical cup. If the electric field strength at the centre of the hemisphere is 9xx10^(8) NC^(-1) , then the radius of the cup is (1/(4pi epsi_(0))=9xx10^(9) N-m^(2) C^(-2))

    A
    5 mm
    B
    10 mm
    C
    5 cm
    D
    10 cm

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