Are Both Formulas for Work Done in an Electric Field Correct?

In summary, in an electric field with positive charge being moved from point A to point B, the work done can be calculated by finding the difference in potential energy between the two points. The correct formula for this is potential energy at B minus potential energy at A. The second formula, potential at A minus potential at B, is incorrect. Additionally, the direction of the journey affects the sign of the change in potential.
  • #1
Suyash Singh
work done in taking positive charge from A to B in electric field E=
potential energy at B - potential energy at A
OR
potential at A-potential at B
Am i correct in both formula?
 
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  • #2
No, your second formula is incorrect. Since we have to do work on the charge, we have to take difference of final potential to initial potential. Thus, your first formula is correct.
 
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  • #3
Suyash Singh said:
work done in taking positive charge from A to B in electric field E=
potential energy at B - potential energy at A
OR
potential at A-potential at B
Am i correct in both formula?
You are asking of both formulae are right for the same situation? I don't think you can mean that because one must be wrong. Do you need to reword your question? The change in potential is the opposite sign if the journey is in the other direction. (That's sort of obvious really)
 
  • #4
thankyou.
 

FAQ: Are Both Formulas for Work Done in an Electric Field Correct?

1. What is work done between two points?

Work done between two points is a measure of the energy transferred from one point to another. It is usually measured in joules (J) and is calculated by multiplying the force applied by the distance over which it is applied.

2. How is work done between two points related to force and distance?

Work done between two points is directly related to force and distance. This means that the greater the force applied or the longer the distance over which it is applied, the more work is done.

3. Is the direction of force important in calculating work done?

Yes, the direction of force is important in calculating work done. Work is only done if the force applied is in the same direction as the displacement. If the force is perpendicular to the displacement, no work is done.

4. How is work done between two points different from work done on an object?

Work done between two points measures the energy transferred between two specific points, while work done on an object measures the energy transferred to or from an object. Work done between two points is independent of the object, while work done on an object depends on the object's mass and velocity.

5. Can work done between two points be negative?

Yes, work done between two points can be negative. This occurs when the force applied is in the opposite direction of the displacement, resulting in a negative value for work. Negative work indicates that energy is being transferred away from the point of interest.

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