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What could you do to increase the electric force between two charged
particles by a factor of 16?
O A. Reduce one particle's charge by a factor of 16.
о B. Increase one particle's charge by a factor of 4.
O
C. Reduce one particle's charge by a factor of 4.
OD. Increase one particle's charge by a factor of 16.

Sagot :

oladayoademosu

To increase the electric force between two charged particles by a factor of 16, we D. Increase one particle's charge by a factor of 16.

What is electric force?

Electric force is the force of attraction between two charged particles.

The magnitude of the electric force is given by F = kq₁q₂/r² where

  • k = electrostatic constant,
  • q₁ = charge on particle one,
  • q₂ = charge on particle two and
  • r = distance of separation between the two charges.

Given that we have two charged particles q₁ and q₂ separated by a distance r, the electric force betwen them is given by F = kq₁q₂/r²

Now, if we want to increase the force by a factor 16, we have the new force F' = 16F

F' = 16kq₁q₂/r²

F' = k16q₁q₂/r²

F = k(16q₁)q₂/r² or kq₁(16q₂)/r²

This implies that either one of the charged particles q₁ or q₂ is increased by a factor of 16

So, to increase the electric force between two charged particles by a factor of 16, we D. Increase one particle's charge by a factor of 16.

Learn more about electric force here:

https://brainly.com/question/17692887

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