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The electric field in a region is radial...

The electric field in a region is radially outward with a magnitude E=Ar where E = electric field, A is a constant =`100V//m^2` and r denotes the distance from the origin in meters. Find the charge contained in a sphere of radius 0.20 m centred as the origin.

Answer

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Knowledge Check

  • The eletric field in a certina region is acting radially outward and is given by E = Ar. A charge contained in 'a' centred at the origin of the field will be givne by

    A
    `4 pi in_(0) Aa^(2)`
    B
    `A in_(0) a^(2)`
    C
    `4 pi in_(0) Aa^(3)`
    D
    `in_(0) Aa^(3)`

  • A hollow metal sphere of radius R is charged with a charge Q. The electric potential and intensity inside the sphere are respectively density p=A/R , where A is a constant and r is the distance from the centre. At the centre of the spheres is a point charge Q. The value of A such that the electric field in the region between the spheres will be constant, is

    A
    `(2Q)/(pia^2)`
    B
    `Q/(2pia^2`
    C
    `Q/(2pi(b^2-a^2))`
    D
    `(2Q)/(pi(b^2-a^2))`

  • A non conducting solid sphere of radius R is uniformly charged. The magnitude of electric field intensity due to the sphre at a distance r from its centre

    A
    increases as r increases for `r lt R`
    B
    decreases as r increases for `0 lt r lt oo`
    C
    decreases as r increases for `R ltr lt oo`
    D
    is discontinuous at `r=R`

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