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https://texercises.com/exercise/electric-vs-gravitational-potential-energy/
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Exercise:
A proton is lifted to a height of hO. What is the electric potential difference between initial and final position if the work to lift the proton in the gravitational field equals the work done by the electric field? Comment on the result.

Solution:
The gravitational work W_G and the work done by the electric field W_E are given by W_G m g h W_E q Delta phi e Delta phi Setting the two expressions equal and solving for the potential difference Delta phi leads to Delta phi VF fracncmptimesncgtimeshnce V approxresultVP- This is a very small potential difference. For a typical potential difference the work done by the electric field is much greater than the work done by the gravitational field.
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Exercise:
A proton is lifted to a height of hO. What is the electric potential difference between initial and final position if the work to lift the proton in the gravitational field equals the work done by the electric field? Comment on the result.

Solution:
The gravitational work W_G and the work done by the electric field W_E are given by W_G m g h W_E q Delta phi e Delta phi Setting the two expressions equal and solving for the potential difference Delta phi leads to Delta phi VF fracncmptimesncgtimeshnce V approxresultVP- This is a very small potential difference. For a typical potential difference the work done by the electric field is much greater than the work done by the gravitational field.
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Attributes & Decorations
Branches
Electrostatics
Tags
electric potential energy, electrostatics, gravitation, potential energy
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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