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Mathematics 12 Online
OpenStudy (chupacabraj):

A 2.0 cm x 3.0 cm rectangle lies in the xy-plane. What is the electric flux if E= (100 i + 50 k) N/C?

OpenStudy (chupacabraj):

So confused. Like area is in the xy plane and flux in the xz plane? So how am I supposed to find flux if they aren't in the same plane?

OpenStudy (chupacabraj):

@IrishBoy123

OpenStudy (irishboy123):

dot product \(\Phi = \vec E * \vec A = \vec E * <0,0,1>A\)

OpenStudy (irishboy123):

so you're projecting your field onto the x-y plavne which has unit normal vector \(\hat n = <0,0,1>\)

OpenStudy (chupacabraj):

Why are we using the normal vector?

OpenStudy (irishboy123):

you want the flux passing through the surface. |dw:1473779928173:dw| split the firld into gree horizontal and vertical bits you are only interested in the vertical bits

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