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July 29, 2015

Homework Help: Physics

Posted by Annoyingmous on Saturday, June 15, 2013 at 4:36am.

We have an infinite, non-conducting sheet of negligible thickness carrying a uniform surface charge density +σ=7.00e-6 C/m2 and, next to it, an infinite parallel slab of thickness D=17 cm with uniform volume charge density ρ=−4.94e-5 C/m3 (see sketch). Note that the slab has a negative charge. All charges are fixed in place and cannot move.

Reminder: The "x.xxenn C/m2 and C/m3" notations for σ and ρ, respectively, mean "x.xx10nn C/m2 and C/m3".


Assuming the infinite sheet is in the x-y plane, and z points as shown in the figure, calculate the components of the electric field at the locations listed below. Since we do not ask for the direction separately, these components could be positive or negative.

Give all of your answers in Volts/m.

(a) a distance h=4 cm above (i.e. in the +z direction) the positively charged sheet.
Ex



Ey



Ez


(b) inside the slab at a distance d=4 cm below (i.e. in the −z direction) the positively charged sheet. Note that d<D so that this is also a distance 13 cm above the bottom of the slab.
Ex



Ey



Ez

(c) a distance H=29 cm below (i.e. in the −z direction) the charged sheet. Note that H>D so that this is also a distance 12 cm below the bottom of the slab.


Ex



Ey



Ez

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