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Question was:Consider an electric field 0 = E E xˆ, where E0 is a constant.The flux through the shaded area (as shown in the figure) due to this field is ----------------------------------------------------------------------- DOUBT In the given figure the angle that area vector of the plane of the paper makes with +ve x-axis is 45 degree.So, if we take the dot product of electric field vector and the the area vector, then answer should be D and not B Please help.

Question was:Consider an electric field 


0 = E E xˆ, where E0 is a constant.The flux 


through the shaded area (as shown in the figure) due to this field is  


-----------------------------------------------------------------------


DOUBT


In the given figure the angle that area vector of the plane of the paper makes with +ve x-axis is 45 degree.So, if we take the dot product of electric field vector and the the area vector, then answer should be D and not B


Please help.

Grade:11

1 Answers

Shubham Goel
16 Points
9 years ago

You have to solve it by the projection method. Since the field is only in a single direction and is constant, you can take the projection of the area as if you are seeing the surface from top. So the projected area becomes a^2 and the field is E and the angle b/w them is 0. So the flux equals Ea^2

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