The graph of electric potential versus position in the x-direction for a region

Question

The graph of electric potential versus position in the x-direction for a region is graphed below. Six positions in this region are labeled. Electric Potential (V) A/ B +x (m) Rank the electric field at the labeled positions. An electric field in the positivex-direction is greater than an electric field in the negativex-direction. Greatest positive l- 2-3 electric field is the same (but not zero) for all of these positions. OR, the electric field is zero for all of these positions. OR, the ranking of the electric field cannot be determined at these positions. Carefully explain your reasoning. Greatest negative OR, the

Explanation / Answer

The electric field is the negative gradient of the electirc potential.

E=-dV/dx

if the potential increasing as moving forward (increasing x vlaue), the electric field negative, otherwise the electic field is positive.

between points C and D>between points Dand E>between points Eand F>between points B and C> between points Aand B

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