How Many Electrons Are Equivalent to a +5 nC Charge?

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C. He is dividing e by 5nC and getting 3.2*10^(-11), but the book says the answer is 3.13*10^(-10). Another person points out that both answers are incorrect because they are using the wrong units. The correct division should be 5nC divided by the charge of an electron, resulting in a value of x electrons. In summary, Warren and the book are both wrong in their calculations for the number of electrons in a +5nC charge. The correct division should be 5nC/e, not e/5nC. Additionally, the book's answer of 3
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MathGnome
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Ok, for some reason, I'm getting the wrong answer. It's asking for how many electrons were removed from an object that has gained a +5nC charge. Here's my setup.

(1.60x10^(-19)) / ( 5*10^(-9))
I'm getting 3.2*10^(-11)
yet book says the answer is actually 3.13*10^(-10)

wtf?
 
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  • #2
Well both the book and you are wrong.

If you want wow many electrons are in 5nC, the correct division is 5nC/e. You did e/5nC. The book only has a sign error in the exponent.

You should have gotten a clue that the book answer was wrong, as 3.13*10^(-10) is less than 1 electron and it is a law of nature that you can only mova around charges in amounts multiple of e (until we find how to separate quarks from hadrons that is).
 
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  • #3
Look at your units. Make sure they cancel, as shown below.

[itex]5\,\textrm{nC} \cdot \frac{1 \,\textrm{electron}}{1.6 \cdot 10^{-19} \,\textrm{C}} = x \, \textrm{electrons}[/itex]

- Warren
 

FAQ: How Many Electrons Are Equivalent to a +5 nC Charge?

What does 5 nC converted to # electrons mean?

5 nC converted to # electrons refers to the amount of charge in coulombs (C) that is equivalent to 5 nanocoulombs (nC) expressed in terms of the fundamental unit of charge, the electron. This conversion is useful in understanding the magnitude of electrical charge at the atomic level.

How many electrons are in 5 nC?

In order to determine how many electrons are in 5 nC, we can use the fact that 1 coulomb is equal to 6.24 x 10^18 electrons. Therefore, 5 nC is equivalent to 5 x 10^9 C, which is equal to 5 x 10^9 x 6.24 x 10^18 = 3.12 x 10^28 electrons.

How does charge relate to the number of electrons?

Charge is a fundamental property of matter, specifically of subatomic particles like electrons. The amount of charge an object has is directly related to the number of electrons it contains. The more electrons present, the greater the charge.

Can you explain the concept of Coulomb's Law in relation to 5 nC converted to # electrons?

Coulomb's Law states that the force of attraction or repulsion between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In the context of 5 nC converted to # electrons, this means that the amount of force exerted by 5 nanocoulombs of charge on another particle will be directly influenced by the number of electrons present in that charge.

How is 5 nC converted to # electrons used in real-world applications?

The conversion of 5 nC to # electrons has various applications in fields such as electronics, nanotechnology, and biophysics. It is used to understand and manipulate the behavior of charged particles at the atomic level, which is crucial in developing new technologies and studying biological processes. For example, this conversion is important in the design of microelectronic devices and in the study of cellular communication and signaling.

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