How do changes in charge and distance affect the force in Coulomb's Law?

[UrbanXrisis]

questions relate to coulomb's law.

What will happen the to force if one of the charge was doubled. (ex.q1 was doubled)

I think that the force would double as well right?

What if q1 and q2 were cut in half?

the distance is tripled?

the distance is cut in half?

What if q1 was tripped and the distance doubled?

Thanks

 

[Loren Booda]

F=kq₁q₂/r² in general.

Substitute

n₁q₁ for q₁

or

n₂q₂ for q₂

or

(n_rr)² for r²

where n₁, n₂ and n_r are the fractional modifications you seek to introduce.

So, what happens to a given F when n_r=1/3; i. e., the interaction distance is reduced by a factor of three?

Answer: F_final=9F_initial.

 

[UrbanXrisis]

Could you tell me if I am doing this right?

What will happen the to force if:

one of the charge was doubled.
I think that the force would double

What if q1 and q2 were cut in half?
I think that the force would be reduced by 1/4

the distance is tripled?
I think that the force would be reduced by 1/9

the distance is cut in half?
I think that the force would increase four times

What if q1 was tripped and the distance doubled?
I think that the force would be mult. by 3/4?

Thanks

 

[jamesrc]

Originally posted by UrbanXrisis
Could you tell me if I am doing this right?

What will happen the to force if:

one of the charge was doubled.
I think that the force would double

What if q1 and q2 were cut in half?
I think that the force would be reduced by 1/4

the distance is tripled?
I think that the force would be reduced by 1/9

the distance is cut in half?
I think that the force would increase four times

What if q1 was tripped and the distance doubled?
I think that the force would be mult. by 3/4?

Thanks

Yep. Looks like you've mastered these type of questions.