Electric Flux through Planar Surfaces

In summary, the drawing shows two intersecting and perpendicular planar surfaces, surface 1 with an area of 1.2 m² and surface 2 with an area of 3.5 m². The electric field E, with a magnitude of 246 N/C, is uniform and perpendicular to the surfaces. The electric flux through surface 1 is simply 1.2*246 = 295.2 Nm²/C, while the flux through surface 2 is 3.5*246 = 861 Nm²/C. The angle used in the formula for flux is the angle between the field and a normal to the surface, not the angle between the field and the surface itself.
  • #1
exi
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0

Homework Statement



The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface 1 has an area of 1.2 m², while surface 2 has an area of 3.5 m². The electric field E in the drawing is uniform and has a magnitude of 246 N/C.

Image:

http://img513.imageshack.us/img513/9947/physicspf4.jpg

What's the electric flux through surface 1? What about surface 2?

Homework Equations



[tex]\Phi = EAcos\Theta[/tex]

The Attempt at a Solution



For #1, I attempted to do 246*1.2*cos(55°), which is incorrect at 169.3197 Nm²/C.

What exactly am I screwing up here?
 
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  • #2
If the field is perpendicular to the surface then flux is just EA. From this we conclude that the angle in your formula is the angle that the field makes with a normal to the surface, not the angle it makes with the surface.
 
  • #3
Dick said:
If the field is perpendicular to the surface then flux is just EA. From this we conclude that the angle in your formula is the angle that the field makes with a normal to the surface, not the angle it makes with the surface.

Yeah, I was thinking things through and got my angles a bit mixed in the process, as you can see.

Got it now - thanks.
 

1. What is electric flux with angles?

Electric flux with angles is a measure of the electric field passing through a surface at an angle. It takes into account not only the magnitude of the electric field, but also the angle at which it passes through the surface.

2. How is electric flux with angles calculated?

Electric flux with angles is calculated by taking the dot product of the electric field vector and the normal vector of the surface, multiplied by the surface area and the cosine of the angle between the two vectors.

3. What is the unit of measurement for electric flux with angles?

The unit of measurement for electric flux with angles is volts multiplied by meters (V*m).

4. Why is it important to consider angles when calculating electric flux?

Considering angles when calculating electric flux is important because the electric field passing through a surface at an angle will have a different effect than the electric field passing through the same surface perpendicularly. Taking into account the angle allows for a more accurate representation of the electric field's impact on the surface.

5. How is electric flux with angles used in practical applications?

Electric flux with angles is used in various practical applications, such as in the design of electrical circuits and the study of electromagnetic waves. It is also used in the field of optics to understand the behavior of light passing through different materials and angles. Additionally, electric flux with angles is important in understanding the behavior of charged particles in electric and magnetic fields.

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