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

To find the force between two charges, we can use Coulomb’s law, which is given by the formula:

[

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

]

Where:

– (F) is the force between the charges,

– (k) is Coulomb’s constant ((8.99 times 10^9 , text{N m}^2/text{C}^2)),

– (q_1) and (q_2) are the amounts of the charges,

– (r) is the distance separating the charges.

Given:

– (q_1 = 2 , text{C}),

– (q_2 = -1 , text{C}),

– (r = 1 , text{m}).

Substituting these values into the formula:

[

F = 8.99 times 10^9 frac{|2 times (-1)|}{1^2}

]

[

F = 8.99 times 10^9 frac{2}{1}

]

[

F = 8.99 times 10^9 times 2

]

[

F = 17.98 times 10^9 , text{N}

]

Since the charges have opposite signs, the force will be attractive.

Therefore