A nonconducting slab with volume charge density p has a finite thickness between z=−d and z=+d is infinite in the plane perpendicular to the z-axis. Enter the correct expression of the electric field inside and outside the slab. Express your answers in terms of p, d, z, and E0. E = __________ z≤−d E = __________ −d≤z≤+d E = __________ z≥+d

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A nonconducting slab with volume charge density p has a finite thickness between z=−d and z=+d is infinite in the plane perpendicular to the z-axis. Enter the correct expression of the electric field inside and outside the slab. Express your answers in terms of p, d, z, and E0.

E = __________ z≤−d

E = __________ −d≤z≤+d

E = __________ z≥+d

Expert Solution
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1)E for z-d (for a gaussian inside the slab the charge enclosed is qenc)from Gauss lawE.dA =qencε0qenc=ρA2dE2A=ρA(2d)ε0E=-ρdε0z^   (direction is in negative z axis)b) E for -dzdE.dA =qencε0E(-A)+ρAdε0=ρA(d-z)ε0E=ρzε0z^c) E for z+d (that is outside the slab gaussian enclosed an amount of charge density limited by the thickness of slab)qenc=ρA(2d)E=-ρdε0z^   (direction is in negative z axis)E.dA =qencε0E(2A)=ρA(2d)ε0E=ρdε0Z^   

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