Van de Graaff generator energy question

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SUMMARY

The discussion centers on calculating the energy required to add an additional electron to a Van de Graaff generator charged to 50,000 volts. The charge of an electron is -1.6 x 10^-19 coulombs, leading to an initial calculation of -8 x 10^-18 joules. However, the conversation reveals a critical misunderstanding regarding the sign of the voltage; if the sphere is negatively charged, adding another electron requires positive work, indicating that the potential should be interpreted correctly based on the charge state of the sphere.

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Aprilshowers
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I would appreciate help with this problem:
If a Van de Graaff generator is charged to 50,000 volts, how much
energy does it take to add an additional electron to the charge on the
sphere? (I know that the charge on an electron is -1.6 x 10^-19 C)
Thanks
 
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A volt is a "joule/coulomb"

You got volts, you got coulombs, you want joules.
 
So I multiplied 50000 x -1.6x10^-19
and I get for an answer: -8x10^-18 joules
Does that look right?
 
Aprilshowers said:
So I multiplied 50000 x -1.6x10^-19
and I get for an answer: -8x10^-18 joules
Does that look right?

Your exponent is not correct. If the sphere is negatively charged to begin with, to add another electron will require positive work. The original 50,000V potential of the sphere would actually be negative. I'm not sure what the intent of the problem is. "Additional electron" hints that it was negatively charged to begin with, but the positive voltage suggests it was positive.
 

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