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Statement of a problem № 3681

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A linear quadrupole (Fig. 11.8) consists of charge +2Q at the origin and two charges -Q at (-d, 0) and (+d, 0). (i) Write down the magnitude of the electric field at P on the x-axis where x > d . (ii) If x >> d show that the field varies inversely as the fourth power of distance from the origin. (iii) If Q = 2 nC and d = 0.01 mm, calculate the field at x = 20 cm.

Solution:
A linear quadrupole (Fig. 11.8) consists of charge +2Q at the origin and two cha

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