Question

Is there any lower limit to the electric force between two particles placed at a certain distance?

Answer 1

Answer:

yes. the electric force between two charged is given by :

$F=\frac{kq_{1} q_{2} }{r^{2} }$

now when r$\lim_{r \to \infty} F =0$ which is the minimum value of electric force . but if two charges are 'd' distance apart then also minimum value of force can be calculated using the fact that electric charge is quantized and it has minimum value of $1.6$ × $10^{-19}$C.

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Answer 2

To Find:-

Lower limit of Electric force

Solution:-

We know that the Electric force

F = $\frac{1}{4\pi E_{0} }\frac{q_{1}q_{2} }{r^{2} }$,    Where $\frac{1}{4\pi E_{0} } = K = Constant = 9x10^{9}$

Therefore

Force F α $\frac{q_{1}q_{2} }{r^{2} }$ ,

Where the value of r is certain , If we take r as constant then

Force directly proportional to both charge i.e

F α q₁q₂

If (q₁)min = (q₂)min = e

Then Force

F = $\frac{1}{4\pi E_{0} } \frac{e^{2} }{r^{2} }$  , be the lower limit to the electric force