Question

A given charge situated at a certain distance from an electric dipole
of very small length along its axial line, experiences a force F. If the
distance of charge is doubled, the force on the charge will become:
2 F
f/2
f/4
f/8​

Answer 1

Answer:

f/8

Explanations

Answer 2

Concept

An indication of a system's overall polarity, or the separation of positive and negative electrical charges, is the electric dipole moment. Coulomb-meters are used in the SI to measure electric dipole moments. In atomic physics and chemistry, the debye is another unit of measurement.

Given

Given charge situated at a certain distance from an electric dipole

of very small length along its axial line, experiences a force F

Find

If the distance of charge is doubled, then we have to find force on the charge will become

Solution

The steps are as follow:

In case of electric dipole

F∝ 1/r³

So F = k/r³

As per question

F' = k/(2r)³ = k/8r³

From above two equation of F we get F' = F/8

Hence If the distance of charge is doubled, the force on the charge will become F/8

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