Find the force between 2C and -1C separated by a distance 1m in air(in newton).

To find the force between two charges, we use Coulomb’s Law, given by the formula:

[ F = k cdot frac{|q_1 cdot q_2|}{r^2} ]

where (F) is the force between the charges, (k) is Coulomb’s constant ((8.987 times 10^9 , text{Nm}^2/text{C}^2)), (q_1) and (q_2) are the magnitudes of the two charges, and (r) is the distance between the charges.

Given:

– (q_1 = 2C)

– (q_2 = -1C) (the negative sign indicates the nature of the charge, which affects the direction of the force but not its magnitude, as we use the absolute value in Coulomb’s Law)

– (r = 1m)

[ F = 8.987 times 10^9 , text{Nm}^2/text{C}^2 cdot frac{|2 cdot -1|}{1^2} ]

[ F = 8.987 times 10^9 , text{Nm}^2/text{C}^2 cdot 2 ]

[ F = 17.974 times 10^9 , N ]

Therefore, the magnitude of the force between the