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

AI Thread Summary
The discussion focuses on the sign of potential energy when moving a positive charge against an electric field created by another positive charge. It clarifies that work done in this scenario is positive, as force and displacement are in the same direction, requiring energy input to move the charge closer. The confusion arises from comparing this with gravitational potential energy, where potential energy decreases as an object falls, resulting in negative values. Additionally, it is established that in terms of potential energy, -2 is greater than -12, emphasizing the importance of context in evaluating potential energy values. Overall, the discussion highlights the relationship between work, force, and potential energy in electric fields.
kougou
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since no one answer i edit it again.we got the forumla,

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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