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Question regarding particle charge and electric fields

alphaparticle.pngparticlems.png

OK, I understood most of this, but I don't get why in the equation v=Q/4piEor which is thereby substituted by W=VQ. I'm assuming that the charge that is multiplied by two is that of the alpha particle, but why is the Q multiplied by 79, I'm assuming it has something to do with gold, but I would like an explanation to understand which variable correspond to values of which elements/particles.
ε0epsilon sub 0𝜀0))

Reply 1

Original post
by tigrispanthera
alphaparticle.pngparticlems.png

OK, I understood most of this, but I don't get why in the equation v=Q/4piEor which is thereby substituted by W=VQ. I'm assuming that the charge that is multiplied by two is that of the alpha particle, but why is the Q multiplied by 79, I'm assuming it has something to do with gold, but I would like an explanation to understand which variable correspond to values of which elements/particles.
ε0epsilon sub 0𝜀0))


In essence, MS is showing the use of conservation of energy to solve the problem.

Loss of KE of alpha particle = Gain electric potential energy
KE of alpha particle = QAu × qα / ϵ0 r

QAu = 79 × 1.60 × 10‒19 (79 protons in Au)
qα = 2 × 1.60 × 10‒19 (2 protons in α)

Reply 2

Original post
by Eimmanuel
In essence, MS is showing the use of conservation of energy to solve the problem.
Loss of KE of alpha particle = Gain electric potential energy
KE of alpha particle = QAu × qα / ϵ0 r
QAu = 79 × 1.60 × 10‒19 (79 protons in Au)
qα = 2 × 1.60 × 10‒19 (2 protons in α)
"Gain electric potential energy"

Could this be interpreted as electric potential needed to overcome repulsive force between two charged particles hence why we use E=kQq/r ?

Reply 3

Original post
by tigrispanthera
"Gain electric potential energy"

Could this be interpreted as electric potential needed to overcome repulsive force between two charged particles hence why we use E=kQq/r ?



The gain in electrical potential energy between the 2 charged particles - alpha particle and Au nucleus is "due to conversion of kinetic energy of alpha particle to electric potential energy".

I think you have confusion
- between electric potential and electric potential energy
- between electric potential and force

Electric potential is the property of charged particles (it is a way to describe how charged particles alter the space around them) while electric potential energy is the property of a system of interacting charged particles.
They are related but are quite different. You may have to re-read the statement several times.

It is okay to say we do work to overcome the repulsive force. I have not read people writing "gaining in electric potential energy to overcome the repulsive force".

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