Negative work, positive work problems

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In Example 23.2 from University Physics by Young and Freedman, confusion arises regarding the concepts of negative and positive work when bringing charges from infinity to a specified point. The external force does negative work because it acts in the opposite direction to the attractive force between the charges as they approach each other. Each charge must be considered individually, with the first charge requiring no work, while subsequent charges involve exerting an outward force, resulting in negative work. The total work done in assembling the charge distribution ultimately results in a net negative value. Understanding the direction of forces and the nature of work done is crucial in resolving these concepts.
cuongbui1702
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Example 23.2 in University Physics of Young and Freedman, i have a confusion with Negative work, positive work
In question b, Why the external force does a negative work (as i know, when you put three charges from infinity to the point of need identified, we will always do a force has the same way with objects)
Example 23.2:
Question-chapter23_zps499536d7.png

My picture:
Question_zps64ca29da.png
 
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cuongbui1702 said:
Example 23.2 in University Physics of Young and Freedman, i have a confusion with Negative work, positive work
In question b, Why the external force does a negative work (as i know, when you put three charges from infinity to the point of need identified, we will always do a force has the same way with objects)
I don't understand your question or your diagram.

Imagine each charge is brought one at a time from infinity to its final position. Figure out the work done in each case. Add the work up to get the total work.
 
The external force is in the opposite direction to the attraction between the opposite charges so it does negative work as the charges approach each other.
 
Sorry because english is second language, so that i writte so bad. I mean external force is same direction of movement, why the work is negative
 
cuongbui1702 said:
Sorry because english is second language, so that i writte so bad. I mean external force is same direction of movement, why the work is negative
Again, you must consider how the charge distribution is assembled from infinity. Start with the first charge in its final position. Then bring in the second charge from infinity to its final position. Since that charge is attracted to the first, you must exert an outward force to bring it there (at uniform speed), thus moving that second charge involves negative work. Adding the third charge, as you've seen in part a, involves positive work. But the net work is negative.
 
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