What Potential Difference Is Needed to Stop an Electron?

AI Thread Summary
To stop an electron with an initial speed of 4.2*10^5 m/s, a negative potential difference is required. The work-energy principle states that the work done (W) is equal to the change in kinetic energy (delta K), where delta K will be negative since the final kinetic energy is less than the initial. The user correctly identifies that the charge of the electron (Q) is negative, but encounters an issue resulting in a positive potential difference. The confusion arises from the sign convention in the calculations, leading to the need for careful consideration of the signs in the equations used. Properly applying the equations should yield the correct negative potential difference needed to stop the electron.
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Homework Statement


What potential difference is needed to stop an electron having an initial speed of 4.2*10^5 m/s?


Homework Equations


W = delta K
W = q*delta V


The Attempt at a Solution


So I'm pretty sure that the potential difference should be negative in order to stop the electron, but I keep getting a positive answer (the correct magnitude, but incorrect sign).

I set delta K = q*delta V.

I know delta K will be less than zero since K(final) < K(initial) and q should also be negative since we're dealing with an electron. But this gives me a positive delta V.

Where am I going wrong?

Thanks in advance.
 
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so you have 1/2 mv2=VQ

for an electron Q=-1.60*10-19C
 
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