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2. -/7 points My Notes Consider a wide, nearly flat square with uniform charge density p. The square is centered at the origin and is lying parallel to the xy-plane. It has side length a and thickness h << a, s the top surface of the square is atz=h/2 and the bottom is atze-h/2·Find a simple approximate (monomial) expression for the magnitude of the electric field on the z-axis for 0 <z< h/2. (Hint: think separately about the fields from the part of the square below z and from the part of the square above z.) (Use any variable or symbol stated above along with the following as necessary: E0-) E(z) Find a simple approximate (monomial) expression for the magnitude of the electric field on the z-axis for h/2 << a: E(z) Find a simple approximate (monomial) expression for the magnitude of the electric field on the z-axis for z >>a: E(z) Sketch E(z) as a function of z, with z ranging from 0 to 100a. DO NOT DRAW THE Z-AXIS TO SCALE! Your z axis should have three roughly equally-sized regions corresponding to your three answers above (so you should have equally spaced, labeled ticks at z-h/2 and z-a). You should also have labeled ticks at the corresponding places on the E axis. Get ADOBE Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobes website This answer has not been graded yet.

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