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The potential at a point in an electric ...

The potential at a point in an electric field is give by `V=Rr` volt where r is distance of the point from the origin of the co-ordinate system. Find the electric field at a point `r=(hati+2hatj+2sqrt(5)hatk)m`

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The correct Answer is:
`vecE=(hati+2hatj+2sqrt(5)hatk)V//m`
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Knowledge Check

  • The electric potential V at a point on the axis of an electric dipole depends on the distance 'r of the point from the dipole as

    A
    `V prop 1/r`
    B
    `V prop 1/r^2`
    C
    `V prop 1/r^3`
    D
    `V prop r`

  • The electric field created by a point charge falls with distance r from the point charge as

    A
    `1/r`
    B
    `1/r^2`
    C
    `1/r^3`
    D
    `1/r^4`

  • Let V_0 be the potential at the origin in an electric field vecE = 4hati + 5hatj . The potential at the point (x,y) is

    A
    `V_0 - 4x - 5y`
    B
    `V_0 + 4x + 5y`
    C
    `4x + 5y - V_0`
    D
    `-4x - 5y`

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