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Question: Answered & Verified by Expert
In the figure, a proton moves a distance \(d\) in a uniform electric field \(\vec{E}\) as shown in the figure. Does the electric field do a positive or negative work on the proton? Does the electric potential energy of the proton increase or decrease?


Here, distance increases so, potential energy increases.
PhysicsElectrostaticsVITEEEVITEEE 2023
Options:
  • A Negative, increase
  • B Positive, decrease
  • C Negative, increase
  • D Positive, increase
Solution:
1878 Upvotes Verified Answer
The correct answer is: Negative, increase
Force \(=\mathrm{eE}\)
Workdone \(=\) force \(\times\) distance
Force and distance are in opposite direction, so work is negative.
\(\mathrm{W}=-\mathrm{e} \mathrm{E} \times \mathrm{d}\)
Here, distance increases so, potential energy increases.

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