Two equal point charges 2.5 cm apart, both initially neutral, are being charged at the rate of 4.0 nc/s. at what rate (n/s) is the force between them increasing 1.0 s after charging begins? express your answer with the appropriate units.

To solve this problem we will use the Coulomb laws that define electrostatic force. Through this mathematical function we will derive the force as a function of time, which will give us in consideration of equality the one derived from the load with respect to time. The relationship for electrostatic force is given by the relationship,

Here,

k = Coulomb's Constant

q = Charge of the object (as they are the same, we have the value squared)

d = Distance

From the statement we have that the charge respect the time is,

And the derivative of the force respect to time is,

After 1 sec the charge on the particle is

Replacing our values we have that,

Therefore the rate that the force between them increasing 1.0s after charging begins is

answer; equivalent to a one(1) horsepower motor;