How many electrons make up a charge of -15.0 uC?

In summary, the conversation covers different attempts at solving an equation using the formula N=q/e, with given values for e and q. The person tries different approaches, including using the full form of e, but keeps getting the wrong answer. They then ask simpler questions about operations with exponents, and it is clarified that x^a*x^b = x^(a+b), x^a/x^b = x^(a-b), and 10^-6 / 10^-19 = 10^(-6-(-19)) = 10^-25. The expert also suggests using parentheses correctly for clarity.
  • #1
Kaylee Hamann
4
0
So I've already got some help on this one, now I have a different question pertaining to this equation.

I know
N=q/e
e=-1.6x10^-19
q=-15x10-6

so I tried:

N=(-15x10-6)/-1.6x10^-19
N=-156/-1.6x10^-19
N=9.74
~that was wrong

So I thought maybe this:
N=(-15x10-6)/-1.6x10^-19
N=--60/-1.6x10^-19
N=3.8x10^-18
~also wrong

so I thought maybe I need to use the full form of e=-1.602x106-19

N=(-15x10-6)/-1.602x106-19
N=-156/-1.602x106-19
N=9.74x10^-18
~that was wrong

So I thought maybe this:
N=(-15x10-6)/-1.602x106-19
N=--60/-1.602x106-19
N=3.75x10^-18
~also wrong

please help I don't know why it keeps turning up wrong.
 
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  • #2
Let's start with something simpler.
What is xa*xb?
What is xa/xb?
What is 10-6 / 10-19?
 
  • #3
what?
 
  • #4
Kaylee Hamann said:
what?
I thought my questions were very clear.
What do you get if you multiply x to the power of a (xa) by x to the power of b (xb)?
 
  • #5
I think its x^a+b
 
  • #6
What is x^a*x^b = x^a+b
What is x^a/x^b = x^a-b
What is 10^-6 / 10^-19 = 10^-6-(-19) = 10^-25
 
  • #7
Kaylee Hamann said:
What is x^a*x^b = x^a+b
What is x^a/x^b = x^a-b
What is 10^-6 / 10^-19 = 10^-6-(-19) = 10^-25
Close, but you went wrong at the last step. What is -6-(-19)?
(And you really should use parentheses correctly: x^(a+b) etc.)
 

Related to How many electrons make up a charge of -15.0 uC?

1. How do you calculate the charge of -15.0 uC?

To calculate the charge of -15.0 uC, you need to use the equation Q = n * e, where Q represents the charge, n represents the number of electrons, and e represents the elementary charge. In this case, n = -15.0 uC / -1.602 x 10^-19 C = 9.359 x 10^16 electrons. Therefore, a charge of -15.0 uC is equivalent to 9.359 x 10^16 electrons.

2. How many protons are present in a charge of -15.0 uC?

Since the charge of -15.0 uC is negative, it means that it has an excess of electrons. Therefore, there are no protons present in this charge. Protons have a positive charge and electrons have a negative charge, so a negative charge can only be made up of electrons.

3. Can a charge of -15.0 uC exist on its own?

No, a charge of -15.0 uC cannot exist on its own. According to the Law of Conservation of Charge, charges cannot be created or destroyed, they can only be transferred or shared. Therefore, a charge of -15.0 uC must exist in an environment with opposite charges to balance it out.

4. How does the charge of -15.0 uC compare to the charge of an electron?

The charge of -15.0 uC is equivalent to 9.359 x 10^16 electrons, which is much larger than the charge of a single electron (-1.602 x 10^-19 C). This is because -15.0 uC is a macroscopic charge, while the charge of an electron is a microscopic charge.

5. Can a charge of -15.0 uC be divided into smaller charges?

Yes, a charge of -15.0 uC can be divided into smaller charges. Since charge is quantized, it can only exist in multiples of the elementary charge (e). Therefore, a charge of -15.0 uC can be divided into smaller charges, as long as they are in units of -1.602 x 10^-19 C (the charge of an electron).

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