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?
Now We know that
Electric force
F=kq1q2r2F=\frac{kq_1q_2}{r^2}F=r2kq1q2
Fα1r2F\alpha\frac{1}{r^2}Fαr21
Another case
F′α1r′2F'\alpha\frac{1}{r'^2}F′αr′21
Both equation We can written as
FF′=r′2r2\frac{F}{F'}=\frac{r'^2}{r^2}F′F=r2r′2
r′=r1.5r'=\frac{r}{1.5}r′=1.5r
FF′=11.52\frac{F}{F'}=\frac{1}{1.5^2}F′F=1.521
F′=2.25FF'=2.25FF′=2.25F
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments