Griffiths E&M and Convention of the Sign of Potential

AI Thread Summary
In Griffiths' E&M, electric potential is defined as zero at infinity, which can lead to confusion regarding its value at finite distances from a charge. The potential becomes positive as one approaches a positive charge, reflecting the repulsive forces experienced by a positive test charge in proximity to another positive charge. This increase in potential aligns with the understanding that potential energy decreases as a charge moves closer to a repulsive source. The discussion highlights the importance of recognizing the conventions used in electrostatics to avoid misunderstandings. Ultimately, the relationship between potential and distance from a charge is clarified through the behavior of forces and potential energy in electrostatics.
kq6up
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I am reviewing in Griffith's E&M, and I find that potential is defined as zero at infinity (that bits fine). However, should not an object that distance from a charge be less than zero (negative) if it is closer than infinity? It seems it should as it has lost P.E. However, he doesn't seem to use this convention.

Another thought: I have just finished Mechanics in where these inverse square law problems are always attractive. I guess if my test charge was positive and the charge in question was also positive, my forces would be repulsive, and actually increasing potential as I move closer -- maybe that is why I am confused.

Thanks,
Chris
 
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kq6up said:
I guess if my test charge was positive and the charge in question was also positive, my forces would be repulsive, and actually increasing potential as I move closer -- maybe that is why I am confused.
Sounds like you figured it out for yourself! ;)

The potential about a positive charge is zero at infinity and increases as you get closer. Imagine that positive test charge being repulsed.
 
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Yes, as I was writing the question it dawned on me :D

Chris
 
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