Electric current? how many electrons?

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Homework Help Overview

The discussion revolves around calculating electric current and the number of electrons passing through a wire over a specified time. The problem involves a net charge of 49 mC passing through a wire in 12 seconds, leading to questions about current and electron flow.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of current using the formula I=Q/t and express confusion regarding the conversion of current to the number of electrons. There are attempts to relate the current to the charge of an electron and to account for the time duration of one minute.

Discussion Status

The discussion is active, with participants sharing their calculations and expressing confusion about the correct approach to determine the number of electrons. Some guidance has been provided regarding the relationship between current and charge, but misunderstandings persist about how to apply these concepts correctly.

Contextual Notes

Participants are navigating the definitions of current and charge, and there is a focus on ensuring the calculations align with the question's requirements, particularly the time frame of one minute. There is a noted lack of consensus on the correct method to find the number of electrons.

snash1057
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Homework Statement


A net charge of 49 mC passes through the cross-sectional area of a wire in 12.0 s

(a) What is the current in the wire?
_4.1E-3_ A

(b) How many electrons pass the cross-sectional area in 1.0 min?
______electrons


Homework Equations



I=Q/t


The Attempt at a Solution


part A was very simple, 49E-3/12 = 4.1E-3 amps

however part b i do not understand.

1 electron = 1.6E-19 and 1 coulumb = 6.24E18


49E-3 x 6.24E18 = 3.06E17 x 60 = 1.8E19 incorrect

49E-3 x 1.6E-19 = 7.84E-21 x 60 = 4.7E-19 incorrect
 
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You need to realize that 1amp means 1 coulomb per second.
Current is the rate of flow of electric charge
 
if i am sort of understanding what you are saying, you mean to use my answer for part a in order to get my answer for part b?

well i have tried something like that, but i still must be off track because i still got it wrong

4.1E-3 x 6.24E18 = 2.56E18 x 60 = 1.5E18 incorrect
 
You have the current to be 4.1 x 10^-3A which means 4.1 x 10^-3 coulombs per second.
The charge on 1 electron is 1.6 x 10^-19 coulombs so how many electrons per second.
Be careful the question asks for how many in 1MINUTE
 
if i have 4.1E-3 c/s then wouldn't i have to multiply that by the one electron?

4.1E-3 x 1.6E-19 = 6.56E-22

but like you said since it is one minute and there are 60 seconds in a minute i would multiply 6.56E-22 by 60 in order to get 3.9E-20

im sorry for all this, but I am just really confused haha :)
 
To find how many electrons you do not multiply !
 

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