[extremely easy question] the sign (+v or -ve) of potential energy

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Homework Help Overview

The discussion revolves around the sign of potential energy in the context of electric fields and gravitational potential energy. Participants explore the implications of moving a positive charge against an electric field and the associated work done.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants discuss the relationship between force and potential energy, questioning whether moving a charge against an electric field results in positive potential energy. There is also confusion regarding the comparison of negative potential energy values.

Discussion Status

Some participants have offered insights into the nature of work done on charges and the implications for potential energy. Multiple interpretations of potential energy in different contexts are being explored, particularly in relation to electric and gravitational scenarios.

Contextual Notes

There is mention of confusion stemming from the different definitions of potential energy in electric versus gravitational contexts. Participants are also considering how to compare negative values of potential energy.

kougou
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since no one answer i edit it again.we got the formula,

v1-v0= the negative integral 0f E dot with dr from 0 to 1.

So assume we are moving a positive point charge from infinity against the electric field emits by a positive source charge to location p.
since E=f/q, and f dot dr = fdrcos180, then, the answer would be a positive number. is this true?
 
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Like charges repel, you have to apply a force in the direction you move the charge.

Work = F dot x , both F and x point in the same direction.
 
Spinnor said:
Like charges repel, you have to apply a force in the direction you move the charge.

Work = F dot x , both F and x point in the same direction.


so, in this class, it would be positive right?


the reason why I was confused because I messed it up with the ideal of gravitational potential energy. the infinity is always define as zero and the as the object fall toward the ground, the potential energy would always be negative and increase in lxl, what ever the value inside the magnitude sign.

just having a one more quick question, when we say potential energy, for instance, compare -2 with -12, which one is larger?
-2 is larger than -12? or do I take the abs value of them?
 
kougou said:
...

just having a one more quick question, when we say potential energy, for instance, compare -2 with -12, which one is larger?
-2 is larger than -12? or do I take the abs value of them?
-2 is larger than -12, especially in this context.
 
kougou said:
so, in this class, it would be positive right?


the reason why I was confused because I messed it up with the ideal of gravitational potential energy. the infinity is always define as zero and the as the object fall toward the ground, the potential energy would always be negative and increase in lxl, what ever the value inside the magnitude sign.

Easy rule of thumb: if you have to push on the object (positive charged particle being pushed towards another positive charged particle; pushing against a spring; lifting something heavy off the surface of the earth) you are increasing the potential energy, making it more positive/less negative. If you let it snap back (let go of your positive charged particle so it goes flying back out to infinity; let go of the heavy object so it falls back to the surface of the earth; let the spring relax) you are reducing the potential energy, making it more negative/less positive.
 

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