Two charges q1 and q2, that are distance d apart, repel each other with a force of 6.40 N. what would be the force between two charges q1 and = 2q and q2=3q, that are distance d apart?

Q: Two charges q1 and q2, that are distance d apart, repel each other with a force of 6.40 N. what would be the force between two charges q1'=2q1 and q2'=3q2 that that are distance d apart?

Answer:

The force = 38.4 N

Explanation:

From coulombs law,

F = kq₁q₂/r² ... Equation 1

Where F = Force of attraction or repulsion between the charges, q₁ and q₂ = first and second charge respectively, r = distance between the charges, k = constant of proportionality.

When, F = 6.4 N, r = d m.

6.4 = kq₁q₂/d² ... Equation 1

When q₁' = 2q₁, q₂' = 3q₂, r = d cm

F = k (2q₁) (3q₂) / d²

F = 6kq₁q₂/d² ... Equation 2

Dividing Equation 1 by equation 2

6.4/F = kq₁q₂/d² / (6kq₁q₂/d²)

6.4/F = 1/6

F = 6.4*6

F = 38.4 N.

Thus the force = 38.4 N