Calculating Electric Flux Through a Rectangle

AI Thread Summary
To calculate the electric flux through a 6m by 4m rectangle with a normal vector in the [1;6] direction and an electric field of [7;1] N/C, the formula used is Φ=E·A=EA*cosθ. The area vector is calculated as [24;144] m², leading to a flux of 312 Nm²/C. There is some confusion regarding the correctness of the calculation, but responses indicate that the initial solution appears accurate. The discussion highlights common uncertainties in applying the electric flux formula, especially when dealing with vector orientations. Clarification and support are provided to reinforce understanding of the concept.
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Homework Statement



Determine the electric flux through a 6m by 4m rectangular area. The area is oriented such that a vector normal to its surface points in the [1;6] direction. The electric field is [7;1] N/C.

Homework Equations



Φ=E·A=EA*cosθ

The Attempt at a Solution



[7;1]N/C*[24;144]m2=312 Nm2/C

I did this is wrong, right? How should i go about solving this, doesn't the electric flux equal the dot product of the electric field and the normal vector multiplied area. Am I missing something here?
 
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Why do you think you did it wrong? It looks right to me.
 
Welcome to PH Forums.

Your answer looks right !
 
i always second guess myself, it's a problem I missed the day we learned about EF because of a funeral and I've been playing catch up ever since.
 
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