two point charges are brought closer together, increasing the magnitude of the electrostatic force between them by a factor of . by what factor was their separation decreased?



Answer :

Distance between them is decrease by an element of 0.21

Evaluating :

Two point charges are brought closer together, increasing the force by an element of 22

Let the first force be

F = [tex]\frac{kq_{1} q_{2} }{r^{2} } ...........1[/tex]

where q₁ q₂ are charges and r is that the distance between  new force                             F' = [tex]\frac{Kq_{1} q_{2} }{r^{2} } ................2[/tex]

                       divide  equation 1 & 2

[tex]\frac{F}{F'}[/tex] = [tex]\frac{r^{2} }{r'^{2} }[/tex]

[tex]22= \frac{r^{2} }{r'^{2} }[/tex]

r' = [tex]\frac{r}{\sqrt{22} }[/tex] ≈0.213r

F₁ represents the first electric force between the two point charges.

F₂ represents the new electric force between the 2 point charges.

r₁ represents the first separation distance between the two point charge.

r₂ represents the new separation distance between the 2 point charge.

Distance between them is decrease by an element of 0.21

Electric Force:

The term 'electric force' exists when two or more electric charges are situated at a specific distance. The variation of electrical force with point charge magnitude is a linear one, whereas the variation of electrical force with the separation distance between the charges is an inversely square one.

Learn more about electric force :

brainly.com/question/25923373

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