Electrostatics - finding velocity of an electron

AI Thread Summary
To find the initial velocity of an electron brought to rest by a potential difference of 1kV, the change in potential energy can be calculated using ΔU=qΔV, and the negative sign indicates the direction of energy change. Concerns about obtaining a negative velocity arise from the sign of ΔV, but only the magnitude is relevant, allowing for flexibility in sign choice. For the second question regarding a proton in a parallel plate capacitor, the force experienced can be calculated using F=qE, where the charge of the proton is appropriate. The given charge of the capacitor is not necessary for determining the electric field strength and separation between the plates. Overall, the problems highlight the importance of understanding potential energy and electric fields in electrostatics.
milkyway11
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The problem asks an electron is brought to rest by a potential difference of 1kV. what was the initial velocity of the electron?

To begin this problem, I first find the change in potential energy by \DeltaU=q\DeltaV. Since electron has a negative charge, I would have a negative \DeltaU. with \DeltaU=-\DeltaKE, I can find the initial velocity. But here is my problem, I would end up with a negative velocity. Did I do something wrong?

Another question A proton experiences a force of 10mN as it travels between teh plates of a parallel plate capacitor, parallel to the plates. If the capacitor holds 1mC of charge and has a potential of 10V, what is the separation between the plates?

I solved this one by using F=qE. Then I can use E to find distance via E=V/d. However, I am not sure which charge to use for the force equation. I would assume it's the charge of proton since the force is experienced by the proton. But I am not sure what the given 1mC of capacitor will do?
 
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The problem didn't state what the polarity of the potential difference was. It only claimed that it brought the electron to rest.
 


So what exactly does that mean?

gneill said:
The problem didn't state what the polarity of the potential difference was. It only claimed that it brought the electron to rest.
 


milkyway11 said:
So what exactly does that mean?

You were worried about the sign of q∆V leading to a negative velocity in your calculations for the speed of the electron. You can pick whichever sign you wish for ∆V, because only the magnitude of the change was specified.
 


Thank you! Can you also take a look at my second question?

gneill said:
You were worried about the sign of q∆V leading to a negative velocity in your calculations for the speed of the electron. You can pick whichever sign you wish for ∆V, because only the magnitude of the change was specified.
 


For your second question, I suspect that the charge is just throwaway information. There is enough information without it to determine the field strength, and hence the separation.
 
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