# AP Physics 2 : Charge Distribution

## Example Questions

### Example Question #1 : Charge Distribution

You have  of water. One mole of water has a mass of , and a single molecule of water contains 10 electrons. What is the total amount of charge contributed by the electrons in the water?

Explanation:

Because we're talking about electrons, the answer must be negative. The way to solve this is to find how many electrons are in 1.5 kg of water. First, we need to convert kilograms of water into grams of water:

Then, we can use the provided molar mass of water to calculate the number of moles of water in 1.5kg of water:

Once we know how many moles of water we have, we can use Avogadro's number () to calculate how many molecules of water are in 83.33mol.

Once we know how many molecules of water we have, we can multiply by 10 to figure out how many electrons those molecules represent, since we are told that each water molecule has 10 electrons.

Finally, we can multiply by the provided charge of an electron to calculate the charge of those electrons.

### Example Question #1 : Using Avogadro's Number

You have a neutral balloon. If you were to add 21,000 electrons to it, what would its net charge be?

= charge of one electron

None of the other answers is correct

Explanation:

The elemental charge is the magnitude of charge, in Coulombs, that each electron or proton has. Because electrons have a negative charge, don't forget to add a negative sign into the equation.

### Example Question #801 : Ap Physics 2

Which of the following best represents the charge of an electron?

Explanation:

The equation for the quantity of charge is:

where  is the charge quantity,  represents the number of electrons, and  is the charge of an electron, also known as the elementary charge.

Rewrite the equation.

One coulomb, , consists of electrons,

Substitute these two values into the formula.

This number represents the electron's fundamental charge.

### Example Question #1 : Charge Distribution

Imagine you have a neutral balloon. If you remove 16,000 electrons from it, what is the net charge on the balloon?

Explanation:

Because this is a neutral balloon, the net charge is equal to the charge the was removed, but opposite in sign. There were 16,000 electrons removed, each of which has a charge of . Therefore, the total charge that was                       removed is:

To answer the question, we must remember that if that much charge was removed from the balloon, the balloon will now be negative.

### Example Question #1 : Charge Distribution

A hollow metal sphere of radius has a charge of distributed evenly on the entirety of the surface. Find the surface charge density.