A given charge situated at a certain distance from a short electric dipole on its axis and experiences a force F. If the distance of the charge from the dipole is doubled the force acting on the charge will be

A given charge situated at a certain distance from a short electric dipole on its axis and experiences a force F. If the distance of the charge from the dipole is doubled the force acting on the charge will be

A
2F
B
F/2
C
F/4
D
F/8

Solution:

$F \propto \frac{1}{r^{3}} \Rightarrow \frac{F^{'}}{F} = {(\frac{r}{2 r})}^{3} \Rightarrow F^{'} = F / 8$

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