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1. A very long strip made of nonconducting material lies in the a: 2 plane. The strip has width 2!) in the xdirection and is innitely long in the sdirection. The strip is centered on the z-axis and has yposition y = 0. You may assume that the strip is very thin in the ydirection and treat it as two-dimensional. Two views of the strip are shown in Figure 1 below. The surface of the strip is uniformly charged with a uniform positive surface charge density or > 0 (Le, or has units 0/1112}. Edge-on vicw Figurc 1: Innite charged strip of width 211. The goal of this problem is to calculate the electric eld along a point P on the yaxis at y = +o, while letting the position a vary, and looking at various limiting cases of interest. You should use as your starting point the eld of an innite line charge with charge per unit length A , which was discussed in lecture: A a (I) (1)) Suppose that the point P is moved an enormous distance up along the +3; axis, i.e., such that e 3a 2b and far enough so that from the point P you can't really discern the strip's width (think of looking at a road from an airplane). What happens to Ems}? Yes, it goes to zero, but what would you expect the the ydependence of Egg? to be as it approaches U? Explain your reasoning. (c) In the case in Part (b), one could think of the strip as having a charge-per-unit- length Amp along the saxis. How would you express Ami? in terms of some combination of the variables or, b, and a? (d) Suppose that or = 3 X I'D Cfmg, o = II] m, and b = .02 m (2 cm). Find ham-p. pins: 1.2 X 107 0/111] (e) Now, write down a mathematical expression that will be valid for am}, at P for the case of very large a that we have been considering in Parts (b)(d). Whatever we nd when we do the full calculation for Emip had better match this result for large a