victoriaarnold246 victoriaarnold246
  • 21-12-2020
  • Physics
contestada

how does the electric force between two charged particles change if the distance between them is decreased by a factor of 3?

Respuesta :

Muscardinus Muscardinus
  • 26-12-2020

Answer:

F' = 9F

Explanation:

The electric force between charges is given by :

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

It means,

[tex]F\propto \dfrac{1}{r^2}[/tex]

If distance decreased by a factor of 3, r' = r/3

Net force will become,

[tex]F'=\dfrac{kq_1q_2}{r'^2}\\\\=\dfrac{kq_1q_2}{(\dfrac{r}{3})^2}\\\\=9\dfrac{kq_1q_2}{r^2}\\\\=9\times F[/tex]

It means new force will become 9 times that of the initial force.

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howetheodora howetheodora
  • 19-05-2021

Answer:

it is increased by a factor of 9

Explanation:

just took the test

Answer Link

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