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We have that for the Question it can be said that what could you do to increase the electric force between two charged particles by a factor of 16 is to

  • F_2=16F_1

From the question we are told

what could you do to increase the electric force between two charged particles by a factor of 16?

Generally the equation for the   is mathematically given as

[tex]F=\frac{kq_1q_2}{r^2}[/tex]

Therefore

[tex]F_1=\frac{kq_1q_2}{\frac{r}{\mu}^2}\\\\F_2=\frac{16q_1q_2}{r^2}[/tex]

Therefore

[tex]\frac{F_1}{F_2}=\frac{\frac{kq_1q_2}{\frac{r}{\mu}^2}}{\frac{16q_1q_2}{r^2}}\\\\\\frac{F_1}{F_2}=\frac{1}{16}[/tex]

F_2=16F_1

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