Flux above a flat horizontal surface

AI Thread Summary
The discussion revolves around calculating the magnitude of an electric field based on a given electric flux and surface area. The user attempts to apply the formula E = I/(Acos(90-θ)) but encounters discrepancies in their results, leading to confusion about the expected range for the electric field. It is suggested that as the angle increases, a larger electric field is necessary to maintain the same flux. The conversation emphasizes the importance of correctly applying trigonometric functions and understanding the relationship between angle and electric field strength. Clarification on the calculations and the use of sine functions is encouraged for accurate results.
sea95
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So my question is, am I missing any key thing in answering the question below?

Question: An electric flux of 149 N.m2/C passes through a flat horizontal surface that has an area of 0.67 m2. The flux is due to a uniform electric field. What is the magnitude of the electric field if the field points 15degrees above the horizontal?

So I've tried E=I/(Acos(90-θ)
I=flux, and A= area, 0.67

E= 149/(0.67cos75)

And I have gotten...

=859.24 (this seemed too large)

=204.98 (I didn't use parenthesis, and too low)

=57.55 (this was just an odd one my calculator gave me)


So, I believe that it should fall somewhere in the 400-650ish range but please help, I have no idea of what to do with my calculator's answers
 
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believe that it should fall somewhere in the 400-650ish range
... what leads you to that belief?

If the angle is 0, then E=I/A = 222.39N/C - which would be a minimum, right?
As the angle gets shallower, then you need a bigger E field to get the same flux.

Your belief is that 15deg should give you 2-3 times the minimum field required for the flux?
What is ##1/\sin(15^\circ)## ? You don't have to trust your calculator if you don't want to - figure the trig by hand.
 
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