Electric Potential at a Distance

AI Thread Summary
The discussion focuses on calculating the electric potential difference at a distance of 4.0x10^-2 m from an alpha particle using the formula V = kq/r. An alpha particle, consisting of two protons, has a charge of +3.2x10^-19 C. The calculated potential is approximately 7.2x10^-8 V, assuming the zero of potential energy is at infinity. There is some confusion regarding the sign of potential energy, but it is clarified that the potential energy is positive when bringing a positive test charge from infinity. The conversation emphasizes understanding the relationship between electric potential and potential energy in electrostatics.
xxabr
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Homework Statement


Find the electric potential difference at a point 4.0x10-2m away from an alpha particle.

Homework Equations


V= kq/r


The Attempt at a Solution


k= 9x109
r= 4.0x10-2

I'm not quite sure how to get this answer considering I don't have any charge and there's nothing that says to use the charge from the previous question...
Help, please?
 
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hi xxabr! :smile:

an alpha particle consists of two protons and two neutrons, so it has a positive charge whose magnitude is twice the charge on an electron …

see http://en.wikipedia.org/wiki/Alpha_particle" for more details :wink:
 
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Oh! Okay, thanks (:

So...
V= kq/r
= (9x109)(3.2x10-19)/ (4x10-2)
= 7.2x-8V ?
 
xxabr said:
V= kq/r
= (9x109)(3.2x10-19)/ (4x10-2)
= 7.2x-8V ?

yup, looks ok! (assuming that the zero of potential energy is at infinity) :smile:

(or is it minus that … i get confused … isn't PE minus kq/r ? :confused:)
 
Uh... No, I don't think so.
At least my textbook doesn't say that.. :confused:
 
hi xxabr! :smile:

(just got up :zzz: …)
xxabr said:
Uh... No, I don't think so.
At least my textbook doesn't say that.. :confused:

hmm … let's work this out from scratch …

https://www.physicsforums.com/library.php?do=view_item&itemid=269"

work done is the work bringing a positive test charge from infinity (because that's zero PE) to distance r from a positive charge q …

force is outward (both charges positive), movement is inward, so work done is negative, so PE is positive

yes, you're right! :smile:
 
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