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A point charge placed at any point on t...

A point charge placed at any point on the axis of an electric dipole at some large distance experiences a force F. What will be the force acting on the point charge when its distance from the dipole is doubled.

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To solve the problem, we need to analyze the force acting on a point charge placed on the axis of an electric dipole when the distance from the dipole is doubled. ### Step-by-Step Solution: 1. **Understand the Setup**: - We have an electric dipole consisting of two charges, +q and -q, separated by a distance 'd'. The dipole moment \( P \) is defined as \( P = q \cdot d \). - A point charge \( Q \) is placed on the axial line of the dipole at a distance \( R \) from the center of the dipole. ...
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Knowledge Check

  • At a point on the axis of an electric dipole

    A
    the electric field E is zero
    B
    the electric potential V is zero
    C
    both E and V are zero
    D
    neither E nor V is zero

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

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

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