Question

tuaction (v)I is sometimes wrinen as grad V, but much more roquently we wite i aV using the so-called del operaor or aabla operator, defined as V-del operator) 1.17 Similar formelas exist for computing the gradient (VVin cylindrical and spherical coondinate sysiems For a given scalar field (nox necessarily electrosatic potencial)y the magnitude of v a a point in space equas the masimum space rate of charge in the function J per unit disance iV-(ddral and f poines in the direction of the masimum space rate of change in f So, the gradient of fis a vector that provides us with both the direction in which f changes moet rapidily and the magnitude of the maximum space rate of change. Field masimum from a potential distribution. The electrostatic potential V in a region is a function of the rectangular coordinate χ only, and ux) is shown in Figure 1.13. Consider the electric field intensitles at points A, B, C, D, and E. The largest field intensity is at point (a) A (B) B (C) C (D) D (E) E Figure 1.13 One-dimensional potencial distributionc for Cpal Question .13

Answer 1

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[Electric field intensity Vertical-bar _max proportional to [potential difference]_max rightarrow A is the largest field intensity point.