How to Calculate Flux through a Square Plate at an Inclined Angle

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To calculate the flux through a square plate inclined at 30 degrees in a field of strength 100 N/C, the formula used is Flux = EACos(degree). The area of the plate is 1 m², leading to an initial calculation of 100 N/C * 1 m² * Cos(30), which results in approximately 86.6 Nm²/C. It is important to ensure the calculator is set to degrees when computing the cosine of the angle. Additionally, for angles like 45 degrees, the sine and cosine values can be derived using Pythagorean principles. The discussion emphasizes the correct application of trigonometric functions in calculating flux.
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Homework Statement



The flux through a square plate, area 1 m^2, inclined at at an angle of 30 degrees to a field of strength of 100 N/C is

------\------->
-------\------->
--------\------->
---------\------->


Homework Equations



Flux=EACos(degree)


The Attempt at a Solution



= (100 N/C) (1m^2) Cos (60)
95 Nm^2/C (not one of the options)
 
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Cos 30 = .866
 
LowlyPion said:
Cos 30 = .866

LowlyPion said:
Cos 30 = .866

O.k so i wouldn't do the angle perpendicular? So i put in cos (30)

30 \
--------\---------->
---------\---------->
----------\---------->
-----------\---------->

sorry don't know if the 30 degrees being there matters. When i put in the cos (30) i didn't get that ( does my calculator need to be in degrees ? ) O.k Thanx for any help. Also once i put the 100 N/C * 1m^2* Cos(30) i get 86.6 which is one of the options . Thank you
 
Degrees, not radians.

You can always figure the correct values for 30 degrees and 45.

A 45 degree angle means the sides are equal and hence sin or cos by Pythagoras of 45 is √2/2

For 30 degrees, sin 30 is 1/2 (the side opposite is 1/2 the hypotenuse) and hence the cos 30 must be √3/2.
 
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