How Much Work is Done Moving a Charge in a Conducting Rod?

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SUMMARY

The work done in moving a charge of +ne across a conducting metal rod of length L with an electrical potential V is calculated using the equation W = +neV. The confusion arises from the interpretation of work done by the electric field versus work done by an external force. The question presumes that it seeks the work required by an external force to move the charge against the electric field, rather than the work done by the field itself, which would be negative.

PREREQUISITES
  • Understanding of electric potential and electric fields
  • Familiarity with the concept of work in physics
  • Knowledge of charge movement in conductive materials
  • Proficiency in using the equation for work done (W = q * V)
NEXT STEPS
  • Study the relationship between electric potential and work done in electrostatics
  • Explore the differences between work done by electric fields and external forces
  • Learn about the implications of charge movement in conductive materials
  • Investigate the concept of energy conservation in electric circuits
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Physics students, electrical engineers, and educators seeking to deepen their understanding of electric potential and work in conductive materials.

heynkm1
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1.


If the electrical potential across a conducting metal rod of length L is V, how much work is done in moving a charge of +ne across the length of the rod, from low to high potential?


2.

Equation that I used: delta U = q * V



3.

This is what I thought: the charge moves from low to high potential, so the work done (by the electric field) has to be negative (so W = -neV). The answer was W = +neV.

Is my thought process incorrect, or should the question have been more specific and ask for exactly the work it was looking for (Work done by electric field or work done by external force)?
 
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Hi welcome to PF!

Think about what units the eqaution WD=V*q would have then look at the answer you gave us :D
 
heynkm1 said:
This is what I thought: the charge moves from low to high potential, so the work done (by the electric field) has to be negative (so W = -neV). The answer was W = +neV.

Is my thought process incorrect, or should the question have been more specific and ask for exactly the work it was looking for (Work done by electric field or work done by external force)?
The presumption (tacit, unfortunately) of the question is: What work would need to be done by you (an external force) to move the charge (not the work done by the field, when the charge is moved).
 
OK, thank you for your help.
 

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