E = (8.0ĵ + 4.0 k) * 10^3 N/C I think you mean.
The j component is IN the plane. It does NOT go THROUGH.
Only the k component matters, and it is exactly perpendicular to the plane so it is exactly what you are looking for.
4.0 * 10^3 N/C Times the area in the plane which is pi R^2
4.0 * 10^3 Newtons /Coulomb * pi * 8^2 meters^2
= about 804*10^3 N m^2/C
= 8.04*10^5 N m^2/C
Consider the uniform electric field
E = (8.0ĵ + 4.0 k) ✕ 103 N/C.
What is its electric flux (in N · m2/C) through a circular area of radius 8.0 m that lies in the xy-plane? (Enter the magnitude in N · m2/C.)
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