Consider the infinite sheet of charge again but this time suppose the sheet has thickness 2D....

 

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Consider the infinite sheet of charge again but this time suppose the sheet has thickness 2D. Suppose the slab has uniform posi- tive charge-per-volume p. (a) What is the field E midway between the two surfaces? (b) Find the field at a point inside the slab a distance a < D from the midpoint. (c) Find the field at a point outside the slab a distance b> D from the mid- point. (d) Sketch a plot of E vs x, where x is the distance from the middle of the slab, over the range 02D. Hint: In (b) and (c), con- sider a gaussian pillbox with the point of interest on one cap and the other cap at the middle of the slab. You could also center the pillbox around the middle of the slab. -DD 1 Consider the infinite sheet of charge again but this time suppose the sheet has thickness 2D. Suppose the slab has uniform posi- tive charge-per-volume p. (a) What is the field E midway between the two surfaces? (b) Find the field at a point inside the slab a distance a < D from the midpoint. (c) Find the field at a point outside the slab a distance b> D from the mid- point. (d) Sketch a plot of E vs x, where x is the distance from the middle of the slab, over the range 02D. Hint: In (b) and (c), con- sider a gaussian pillbox with the point of interest on one cap and the other cap at the middle of the slab. You could also center the pillbox around the middle of the slab. -DD 1

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