Counting electrons: current and charge

AI Thread Summary
The discussion revolves around calculating the charge and number of electrons passing through a flashlight bulb with a steady current of 0.50 A over 2.0 minutes. The correct calculation yields a total charge of 60 C and approximately 3.8x10^20 electrons. The user expresses confusion over their calculator's output, which differs significantly from the expected results. They acknowledge understanding the initial steps but struggle with the final calculation, suspecting a possible error in using their calculator. Clarification is provided that the charge of an electron is indeed 1.6x10^-19 C, and troubleshooting the calculator's functionality is suggested to resolve the discrepancies.
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Hi everyone. I thought I understood this problem, but now I'm unsure. Everything is worked out step by step with the answers, but when I try to duplicate it, I get something different. Can anyone shed some light on it?

Homework Statement



Suppose there is a steady current of 0.50 A in a flashlight bulb lasting for 2.0 min. How much charge passes through the bulb during this time? How many electrons does this represent?

The current and time elapsed are given; therefore, the definition of current allows the calculation of the charge q. Since each electron carries a charge of magnitude 1.6x10-19 C, q can be converted into the number of electrons.


Homework Equations



Given:

I = 0.50 A
t = 2.0 min = 1.2x102 s

I=q/t, so the magnitude of the charge is

q = It = (0.50A)(1.2x102 s) = (0.50C/s)(1.2x102 s) = 60 C

Solving for number of electrons from q = ne

n = q/e = 60 C/1.6x10-19 C/electrons = 3.8x1020 electrons


The Attempt at a Solution



I understand the first part of the problem (everything to get the 60 C). I've done several of these problems before and this is the first one that's tripped me up. I'm using a calculator to do this and when I enter that into my computer, I come up with 3.75x10-18.

I know that 1.6x10-19 C is the electric charge of an electron (although, earlier in the book it states that it's -1.6x10-19 C and that protons have an electric charge of 1.6.x10-19 C). The only way I can get the answer they came up with is if I use 1.6x1019 and that doesn't make any sense to me. What am I missing?
 
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Your answers look right to me, 60C and 3.8x10^20 electrons. You my not be operating the calculator right? Do simple math problems that you know the answer to to figure out the calculator or go online and get the manual for your calculator?

Hope this helps.
 
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