The electric field in a region of space is given by Ex = (3.0x) N/C, Ey = Ez = 0, where x is in m.Points A and B are on the x axis at xA = 3.0 m and xB = 5.0 m.Determine the potential difference VB - VA.

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Quizplus · Accepted Answer

The potential difference VB - VA is found by integrating the electric field along the path from A to B. The electric field Ex = 3.0x N/C varies with x, so the potential difference is the negative integral of Ex from xA to xB:  VB - VA = -∫(3.0x) dx from 3.0 to 5.0 = -[(3.0/2)x^2] from 3.0 to 5.0 = -[(3.0/2)(5.0)^2 - (3.0/2)(3.0)^2] = -[37.5 - 13.5] = -24 V.

The Electric Field in a Region of Space Is Given