In a wire AB, 25*10^21 electrons move from point A and B in 100 seconds. What is the current between A and B? What is the direction of this current?

40 A, current is from B to A

Explanation:

The current in a wire is defined as:

where

q is the amount of charge passing a given point of the wire in a time interval t

The charge passing through a given point can be written as

where

N is the number of electrons

is the charge of one electron

So we can rewrite the equation as

In this problem:

is the number of electrons

t = 100 s is the time interval

Substituting, we find the current:

Moreover, the direction of a current is defined as the direction of positive charges moving. Here, the charge carriers are electrons (which are negatively charged), so the direction of the current is opposite to the direction of motion of the electrons: therefore, since the electrons move from A to B, the direction of the current is from B to A.

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 .