Uniform plane of charge. Charge is distributed uniformly over a large square plane of side ℓ, as shown in the figure(Figure 1). The charge per unit area (C/m2) is σ.
Determine the electric field at a point P a distance z above the center of the plane, in the limit ℓ→∞. [Hint: Divide the plane into long narrow strips of width dy, and use the result of Example 21-11 in the textbook; then sum the fields due to each strip to get the total field at P.]
Express your answer in terms of the variables σ, z, and appropriate constants.
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Uniform plane of charge. Charge is distributed uniformly over a large square plane of side ℓ,...
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