Question #291913

Two point charges are separated by a distance r. If the separation is reduced by a factor of 1.5, by what factor does the electric force between them change? 


1
Expert's answer
2022-01-31T11:27:28-0500

Now We know that

Electric force

F=kq1q2r2F=\frac{kq_1q_2}{r^2}

Fα1r2F\alpha\frac{1}{r^2}

Another case

Fα1r2F'\alpha\frac{1}{r'^2}

Both equation We can written as

FF=r2r2\frac{F}{F'}=\frac{r'^2}{r^2}

r=r1.5r'=\frac{r}{1.5}

FF=11.52\frac{F}{F'}=\frac{1}{1.5^2}

F=2.25FF'=2.25F


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