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The figure shows equipotential surfaces ...

The figure shows equipotential surfaces due to two poit charges +3Q and -Q placed at a separation d.
(a) Will the shape of epuipotential surface be spherical very close to both the point charges? What shape of equipotentials will be seen at very far away points from the pair of charges. (b) Find the distance of point P from the negative charge. (c) Find the potential of the surface marked as `S_1` is the figure. (d) Consider the surface having zero potential. Write the flux of electric field through this surface

Text Solution

Verified by Experts

The correct Answer is:
`(6)/(7)(KQ)/(R)-(KQ)/(7R^(3))((r_(0)^(2))/(2)-(R^(3))/(r_(0)))`
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Knowledge Check

  • The shape of equipotential surfaces due to an isolated charge is

    A
    Concentric spherical shells and the distance between the shells increases with the decrease in electric field
    B
    Concentric spherical shells and the distance between the shells decreases with the decrease in electric field
    C
    Equi-spaced concentric spherical shells
    D
    Changes with the polarity of the charge

  • Nature of equipotential surface for a point charge is

    A
    ellopsoid with charge at foci
    B
    sphere with charge at the centre of the sphere
    C
    sphere with charge on the surface of the sphere
    D
    plane with charge on the surface

  • Potential at a point due to a point charge is V. The charge is doubled and also the distance of the point from the charge is doubled. The new potential is

    A
    `V//2`
    B
    4V
    C
    V
    D
    2V

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    What is the geometrical shape of equipotential surfaces due to a single isolated charge ?

    Two point charges 10 muC and -10 muC are separated by a distance of 40 cm in air. Draw an equipotential surface of the system.

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