31. (a) To calculate the electric field at a point very close to the center of a large, uniformly charged conducting plate, we may replace the finite plate with an infinite plate with the same area charge density and take the magnitude of the field to be E= σ/ε0, where σis the area charge density for the surface just under the point. The charge is distributed uniformly over both sides of the original plate, with half being on the side near the field point. Thus, 64226.010C4.6910C/m .22(0.080 m)qAσ−−×===×The magnitude of the field is 42712
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Electric charge, Fundamental physics concepts, plate, area charge density