Electric flux through the surface of half a sphere?

[adelaide87]

Homework Statement

Electric Field is given by E=(100i-200j+100k) N/C. What is the electric flux through the surface of half a sphere?

(The surface is a hollow bowl open upwards, positive in the z direction, radius of 2).

Homework Equations

The Attempt at a Solution

Ive calculated the surface area of the bowl. I also know I am supposed to use :

Integral: E da

=E A

I am confused of what the question is asking - how do i use the E field when its in the ijk format?

 

[tiny-tim]

hi adelaide87!

(have an integral: ∫ )

Ive calculated the surface area of the bowl. I also know I am supposed to use :

Integral: E da

=E A

I am confused of what the question is asking - how do i use the E field when its in the ijk format?

you need ∫ E.n dA, where n is the unit vector normal to the surface, and dA is a small element of area

(but have you considered using the divergence theorem?)