An infinite sheet of charge, oriented perpendicular to the x-axis, passes throug

Question

An infinite sheet of charge, oriented perpendicular to the x-axis, passes through x = 0. It has a surface charge density ?1 = -4 ?C/m2. A thick, infinite conducting slab, also oriented perpendicular to the x-axis occupiees the region between a = 2.6 cm and b = 4.9 cm. The conducting slab has a net charge per unit area of ?2 = 78 ?C/m2.

1)

What is Ex(P), the value of the x-component of the electric field at point P, located a distance 8.7 cm from the infinite sheet of charge?N/C

2)What is Ey(P), the value of the y-component of the electric field at point P, located a distance 8.7 cm from the infinite sheet of charge?N/C.

3)What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.3 cm from the infinite sheet of charge?N/C

4)What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.3 cm from the infinite sheet of charge?N/C

5) What is ?b, the charge per unit area on thesurface of the slab located at x = 4.9 cm??C/m2

6)What is Ex, the value of the x-component of the electric field at a point on the x-axis located at x = 3.52 cm ?N/C

7)What is ?a, the charge per unit area on the surface of the slab located at x = 2.6 cm??C/m2

8)Where along the x-axis is the magnitude of the electric field equal to zero?

x < 0

0 < x < 2.6 cm

x > 4.9 cm

none of these regions

please show steps tp get awarded !

Explanation / Answer

An infinite line of charge with charge density ?1 = -2.3 ?C/cm is aligned with the y-axis as shown.

1)

What is Ex(P), the value of the x-component of the electric field produced by the line of charge at point P

which is located at (x,y) = (a,0), where a = 9.3 cm?

-4.45E7

N/C

We make use of Gauss

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