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Question
A point P lies at a distance x from the midpoint of an electric dipole on its axis. The electric potential at point P is proportional to ______.
Options
`1/x^2`
`1/x^3`
`1/x^4`
`1/x^{1"/"2}`
Solution
A point P lies at a distance x from the midpoint of an electric dipole on its axis. The electric potential at point P is proportional to `underlinebb(1/x^2)`.
Explanation:
The electric potential of the dipole is given by:
V = `(pcostheta)/(4piε_0r^2)`,
where r is the position vector with respect to the midpoint of the dipole and θ is the angle between r and p (dipole moment). Therefore, the electric potential at a point that lies at a distance x from the midpoint of the dipole will be proportional to `1/r^2`.
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