Electric Potential/Electric Potential Energy question

AI Thread Summary
The discussion centers on a physics problem involving electric potential and the transfer of electrons. The problem states that a spark occurs when touching a metal doorknob, with a voltage difference of 2.0 X 10^4 V and work done of 1.5 X 10^-7 J. The user attempts to calculate the number of electrons transferred using the formula for electric potential energy but makes errors in unit handling and calculations. Feedback highlights the importance of careful unit management and correct application of the voltage value. The user is encouraged to re-evaluate their calculations for accuracy.
benji
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We just started this stuff in my AP Physics class and I'm not catching on to it too quickly... At least problem solving-wise. I thought I had all the concepts down, but maybe not.

Here's a question I'm having problems with:

Just as you touch a metal door knob, a spark of electricity (electrons) jumps from you hand to the knob. The electric potential of the knob is 2.0 X 10^4 V greater than that of your hand. The work done by the electric force on the electrons is 1.5 X 10^-7 J. How many electrons jump from your hand to the knob?

How do I go about this one? I'm sure it's a pretty simple problem because it's at the beginning of the chapter, but I guess I'm missing a connection or something.
 
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well, voltage is potential energy per charge, and the charge on a single electron is -1.6*10^-19 couloumbs.
 
I see, so what I did was:

1.5 X 10^-7 / -1.6 X 10^-19 = -9.375 X 10^11 electrons
-9.375 X 10^11 / 2 = 4.68 X 10^11 elections

So 4.68 X 10^11 electrons was very close to the correct answer. Did I do this right?
 
Your work is a little sketchy. First of all, Joules/charge does not have units of "electrons", and I don't know what a negative number of electrons means. I get the idea of what you're doing, but you should be a lot more careful with units. Then, you seem to have forgotten the power of ten on the voltage.
 
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