Find the force between two charges when they are brought in contact and separated by 4cm apart, charges are 2nC and -1nC, in μN.

To find the force between two charges when they are separated by a distance, 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 charges,

– ( r ) is the distance between the charges.

Given:

– ( q_1 = 2 , text{nC} = 2 times 10^{-9} , text{C} )

– ( q_2 = -1 , text{nC} = -1 times 10^{-9} , text{C} )

– ( r = 4 , text{cm} = 0.04 , text{m} )

Substituting these values into the formula:

[

F = (8.99 times 10^9) frac{|(2 times 10^{-9})(-1 times 10^{-9})|}{(0.04)^2}

]

Calculating the numerator:

[

|(