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Electric flux through the surface of half a sphere?

  • Thread starter adelaide87
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  • #1
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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?
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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hi adelaide87! :smile:

(have an integral: ∫ :wink:)
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 :wink:

(but have you considered using the divergence theorem?)
 

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