Potentia Difference and Electric Potential

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SUMMARY

The discussion focuses on calculating the work done on a proton moving in a uniform electric field of E = 200 N/C over a distance of 2.00 cm. The work done can be determined using the formula W = F * d, where F = qE, with the charge of the proton being the elementary charge (approximately 1.602 x 10-19 C). The change in potential energy can be calculated using the relationship between work and potential energy, and the potential difference can be derived from the electric field using the formula V = E * d.

PREREQUISITES
  • Understanding of electric fields and forces (E = F/q)
  • Knowledge of the elementary charge (approximately 1.602 x 10-19 C)
  • Familiarity with the concept of work done by a force (W = F * d)
  • Basic principles of potential energy in electric fields
NEXT STEPS
  • Calculate work done on a charge in various electric fields using W = F * d
  • Explore the relationship between electric potential and electric fields (E = V/d)
  • Investigate the concept of potential energy changes in electric fields
  • Learn about the applications of electric fields in parallel plate capacitors
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Students and educators in physics, electrical engineers, and anyone studying electromagnetism who seeks to understand the principles of electric potential and work done by electric fields.

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A proton moves 2.00 cm parallel to a uniform electric field of E = 200 N/C. (a) How much work is done on the proton by the field? (b)What change occurs in the potential energy of the proton? (c) What potential difference did the proton move through?


I really just need help with Part A, I should be able to get through the rest alright. I'm not entirely sure what the charge of the proton would be. I know that wok is equal to the change in potential energy, which is then equal to (kq1q2)/r...but I'm not sure what the chrages would be. Help?
 
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The charge on the proton is the same as the charge on the electron (except it is positive), often called the "elementary charge". You can easily look up its value in your text or in Wikipedia.

V = (kq1q2)/r applies only two point charges. For this problem with the uniform E field, you really need F = qE, an electric field causes a force on a charge. From there you can find the work done quite easily.

In a uniform E field, E = V/d. This is often called the parallel plate formula because it tells how a potential across plates distance d apart causes a uniform electric field between the plates. You could use it backwards to find your part c.

Alternatively, use the definition of potential difference = (change in energy)/charge.
 

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