Solving Two Charge Problems: Need Help

  • Thread starter that1grrl
  • Start date
  • Tags
    Charge
In summary: E26 electrons in 7kg of water. -To solve for q, divide 37,470,222C by 2.3419E26 to get q=11,203,846C. -According to our problem site, this answer is incorrect.
  • #1
that1grrl
7
0
I have been trying to figure out these two problems and for some reason my logic or my math is wrong...please help.

1) What is the total charge (in C) on all the electrons in 7.0kg of water.
--what I did. 7000g/18g * 6.022E23 to give me the # of electrons (2.3419E26) then I plugged that into the N=q/e and got q= 37,470,222C. But according to our problem site it is wrong, so where did I go wrong?

2) A 2.0g Cu penny has a positive charge of 0.27millicoulombs. What decimal fraction of its electrons has it lost?
--what I did. 2g/63.546g 8 6.022E23 to get # of electrons it started with (1.895E22) then I plugged used the N=q/e (N= 0.27E-6C/1.6E-19 which came out to 1.6875E12) THen I divided 1.895E22/1.6875E12 to get 1.122E10, but the answer is incorrect.

I would truly apprecate ANY help.
 
Physics news on Phys.org
  • #2
(1)For question one as far as I can see your right. I got a similar answer: 37 357 777C. Just make sure you are using the given constants.
 
  • #3
(2) This is what I did:
Number of electrons lost = [itex]\frac{q}{e} = \frac{0.00027}{1.6\times 10^{-19}} = 1.6875\times 10^{15}[/itex]

Number of atoms of Copper in penny = [itex]\frac{2}{63.5} \times 6.02\times 10^{23} = 1.896\times 10^{22}[/itex]

Number of electrons (Each atom has 29 electrons) = [itex]\left(1.896\times 10^{22} \right) \times 29 = 5.50 \times 10^{23}[/itex]

Ratio = [itex]\frac{lost}{total} = \frac{1.6875 \times 10^{15}}{5.50 \times 10^{23}} = 3.07 \times 10^{-9}[/itex]
 
  • #4
that1grrl said:
1) What is the total charge (in C) on all the electrons in 7.0kg of water.
--what I did. 7000g/18g * 6.022E23 to give me the # of electrons (2.3419E26) then I plugged that into the N=q/e and got q= 37,470,222C. But according to our problem site it is wrong, so where did I go wrong?
/QUOTE]

7000g/18g*6.022E23 tells you how many H20 molecules you have. How many electrons are in an H20 molecule?

-Dan
 

FAQ: Solving Two Charge Problems: Need Help

1. How do I solve two charge problems?

To solve two charge problems, you need to use the principles of Coulomb's law and the superposition principle. Coulomb's law states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. The superposition principle states that the total force on a charge due to multiple charges is the vector sum of the individual forces.

2. What are the steps to solve a two charge problem?

The first step is to identify the given charges and their positions. Then, calculate the distance between the two charges. Next, use Coulomb's law to calculate the magnitude and direction of the force between the charges. Finally, use the superposition principle to find the total force on each charge.

3. Can I use a calculator to solve two charge problems?

Yes, you can use a calculator to solve two charge problems. You will need to use the appropriate formulas and make sure to keep track of units. Some calculators also have built-in functions for calculating the force between two charges.

4. What are some common mistakes when solving two charge problems?

Some common mistakes when solving two charge problems include forgetting to account for the direction of the force, using the wrong units, and not properly applying the superposition principle. It is important to double-check your calculations and make sure they are consistent with the principles of Coulomb's law and the superposition principle.

5. Are there any real-world applications of solving two charge problems?

Yes, solving two charge problems has many real-world applications. For example, it can be used to calculate the force between charged particles in an atom, to understand the behavior of electric charges in circuits, and to design electronic devices. It is also used in research and development in fields such as physics, engineering, and chemistry.

Back
Top