Total potential difference of an electron

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Homework Help Overview

The problem involves calculating the total potential difference experienced by an electron as it moves from a distance of 66.1 cm from a fixed point charge of Q=-0.120 μC. The context is centered around electrostatics and potential energy related to electric fields.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the interpretation of the problem's wording, particularly the phrase "from being very far away." There is a focus on understanding the implications of potential difference and whether it should be expressed as a positive value. Some participants explore the relationship between potential energy and kinetic energy in the context of the electron's movement.

Discussion Status

The discussion is ongoing, with participants providing insights and clarifications regarding the potential difference and the nature of the electron's energy. There is recognition of the potential for different interpretations of the problem's wording, and some guidance has been offered regarding the signs of the values involved.

Contextual Notes

Participants note the lack of specification in the problem regarding the direction of the potential difference, leading to questions about whether the answer should be positive or negative. The original poster's confusion about the accepted answer in the homework system is also highlighted.

Dancing_Queen
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So this is the problem that I got on LonCapa:

1. An electron starts from rest 66.1 cm from a fixed point charge with Q=-0.120 μC. What total potential difference accelerates the electron from being very far away from Q?

I understand the equation that I have to use, which is V=k*Q/R. I plugged everything in like this:
V=[(9.0*109 N*m2/C2)*(-0.120*10-6 C)]/(0.661 m)
V=-1.63*103 V

When I was plugging my answer into LonCapa, it said it was wrong, so I changed the sign from a negative to a positive and it accepted that. I was wondering if someone could explain why that is to me. Are all answers supposed to be positive?

[Mentors Note: Thread moved from General Physics]
 
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I find the wording strange. What does it mean to accelerate the electron "from being very far away"? Is that the exact wording? A translation perhaps?
Maybe it doesn't matter. It asks for a potential difference. Unless the wording that puzzles me is supposed to indicate it somehow, there's no specification as to which way the difference should be taken. That being so, it just wants a magnitude, which would generally mean a positive value.
 
Nope, this is the exact wording (although I agree it's kind of weird)! Here is what the problem looks like on LonCapa: http://i.imgur.com/FOrbThj.jpg

I guess it's pretty obvious now when I think about it. :D
I just wasn't sure if there was something I was missing or doing wrong. Thank you!
 
There is a slight difference between "from far away" and "to far away" :smile:

The answer you gave is more correct than the accepted answer:

##V = {k Q\over R}## is negative at the outset and zero "far away". The unit is Volt = Joules per Coulomb.

The electron (with a negative charge) has a positive energy ##E_{\rm electric field} = q V ## in the beginning and that gets converted into a positive kinetic energy "far away".
 
BvU, I didn't even catch that, thanks! :smile:
 
BvU said:
There is a slight difference between "from far away" and "to far away" :smile:

The answer you gave is more correct than the accepted answer:

##V = {k Q\over R}## is negative at the outset and zero "far away". The unit is Volt = Joules per Coulomb.

The electron (with a negative charge) has a positive energy ##E_{\rm electric field} = q V ## in the beginning and that gets converted into a positive kinetic energy "far away".
Given the revised wording, I agree. The answer is negative.
 

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