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An infinite insulating slab with a uniform volume charge density ρ and a thickness of 2a...

An infinite insulating slab with a uniform volume charge density ρ and a thickness of 2a lies in the xy-plane between z = −a and z = a. Your answer to the following questions should be written in terms of ρ. Make sure you indicate the direction of the field.

a) What is the electric field inside the slab, between z = −a and z = a?

b) What is the electric field outside of the lab, where z < −a or z > a?

c) Sketch a plot of the electric field as a function of z for −4a < z < 4a. Make sure you label important points on the plot.

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