CBSE Class 11-science Answered
why is force attractive when the separation between body and force increases and potential increases and vice versa?
why is force repulsive when separation between body and force increases and potential decreases?
if PE/force is negative why attraction and if PE/force is positive why there is repulsion?
pls explain and prove the above points with suitable examples.
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)
Asked by kaziryan.05 | 22 May, 2021, 11:38: AM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/f9d1ab1f2839f80f1d9d2fcb69b9cd2160aa2f6f23bc88.31566341txt1.png)
Let me explain above statements first .
By definition , potential energy of an object at a point is workdone to bring the object
from infinity to the required point in the given force field.
If force field is repulsive, then work has to be done by external agency on the object
to bring the object from infinity to the required point.
If work is done externally on the object then work is positive, potential energy is also positive.
For example if positive source charge is placed at origin, to bring another positive test charge
from infinity to a point P, external work has to be performed on positiveve test charge.
Then potential energy at point P is positive .
This explains the first statement.
If force field is attractive , work is done by force field on the object to bring the object
from infinity to a required point.
If work is done by force field on the object then work is negative, potential energy is also negative.
For example if positive source charge is placed at origin, to bring a negative test charge
from infinity to a point P, Force field due to positive charge at origine has performed the work on
negative test charge. Then potential energy at point P is negative .
This explains the second statement.
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