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Potential Gradient and Relation Between  and V

We know that the line integral of electric field intensity Description: 152461.png between any two points gives the potential difference between the points. For an elementary length Description: 152450.png, we can write the potential difference as,
Description: 28293.png 
Hence, an inverse relation must exist between the change of potential Description: 28360.png along the elementary length Description: 29025.png with the electric field Description: 28473.png as Description: 24846.png
The rate of change of potential with respect to the distance is called the potential gradient. From Fig., we can write that,
Description: 82166.png
Description: 82163.png
Potential gradient

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