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Physics, 29.10.2019 01:31 LikeIke2859

Frequently in physics, one makes simplifying approximations. a common one in electricity is the notion of infinite charged sheets. this approximation is useful when a problem deals with points whose distance from a finite charged sheet is small compared to the size of the sheet. in this problem, you will look at the electric field from two finite sheets and compare it to the results for infinite sheets to get a better idea of when this approximation is valid. consider two thin disks, of negligible thickness, of radius r oriented perpendicular to the x axis such that the x axis runs through the center of each disk. (figure 1) the disk centered at x = 0 has positive charge density eta, and the disk centered at x = a has negative charge density -eta, where the charge density is charge per unit area. what is the magnitude e of the electric field at the point on the x axis with x coordinate a/2? express your answer in terms of eta, r, a., and the permittivity of free space element_0. e = 4 pi kn(1 - a/squareroot a^2 + r^2)

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