What is the equation for calculating the electrical force, fe, between two charges?

Explanation:

The electrostatic force (also called Couloumb force) between two electrical charge is given by the following formula:

where:

is the vacuum permittivity

is the magnitude of the first charge

is the magnitude of the second charge

is the distance between the two charges

This formula gives only the magnitude of the force. The direction depends on the relative sign of the two charges:

- If the two charges have same sign, the force is repulsive (this corresponds to a positive sign in the formula)

- If the two charges have opposite sign, the force is attractive (this corresponds to a negative sign in the formula)

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .