please explain how to get the answer, include equations if possible In three dif

Question

please explain how to get the answer, include equations if possible

In three different regions of space (labeled I, II, and III), the electric fields are accurately indicated by the electric field lines shown. (Notice that the separation of the field lines in II is the same as in the right part of I and the left part of III.) The distance from point A to point B is the same in all three regions. In which region is the magnitude of the voltage difference the smallest? A) region I B) region II C) region III D) the voltage difference in regions I and III tie for smallest

Explanation / Answer

electric field and pot diff are related by the formula, E= V/d or V= Ed

thus more the difference of EF, more pot difference.

at point A, all field line have same strength, but at B, in region II field lines are closer than the other two regions. so EF strength wud be more at B, thus pot diff also more at B

thus correct answer is region II. option B

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