Basic electrostatics's potential difference question.

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SUMMARY

The discussion centers on the work done by external forces in moving a unit positive charge between two points A and B in an electrostatic field, specifically addressing the equation Vb - Va. It is established that the work done, represented as dW, is equal to the change in potential energy, which is Vb - Va. The example provided uses specific voltages (Va = 1 volt, Vb = 2 volts) to illustrate that moving a positive charge from A to B requires work, confirming the statement as true.

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Homework Statement



true false

Work done by external forces in moving a unit positive charge from A at potential Va to B at potential Vb is Vb-Va

Homework Equations



basic electrostatics.

The Attempt at a Solution



dW -F.dr=-Dw
if a unit charge move from Va to Vb then change in potential energy will Vb-Va. So dV=Vb-Va so dW=Va-Vb
 
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Sometimes it might help to throw in some numbers. Let Va be 1 volt and let Vb be 2 volts. If we are moving the positive charge from a to b then we are doing work, so it looks like the answer is true?
 
Spinnor said:
Sometimes it might help to throw in some numbers. Let Va be 1 volt and let Vb be 2 volts. If we are moving the positive charge from a to b then we are doing work, so it looks like the answer is true?

Can you please explain it with proper variable and formulas.
 

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