the given figure shows the variation of electric potential V with  distance r. at which points A,B and C the electric field is (i) 0 and (ii) maximum.

Dear Student,

Please find below the solution to the asked query:

The relation between the electric field and electric potential is as,

E=-dVdr
So, the slope of line in the graph between the points A & B is zero. Then the electric field will be Zero.

At point B, the slope of the tangent of the curve is maximum on negetive. So, here the electric field can be defined as the negative gradient of potential. Therefore, at the point B, the electric field will be maximum.

 

Hope this information will clear your doubts about the topic.

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