Calculating Electric Flux Through a Square Surface

In summary, the problem involves finding the electric flux through a square surface immersed in an electric field with a magnitude of 1700 N/C and an angle of 35 degrees. The solution involves using the equation E*cos(Θ)*A and converting the given length from mm to m. The calculator should be in degree mode for accurate results.
  • #1
TheWarHawk
3
0

Homework Statement



A square surface, 34 mm each side, is immersed with an electric field of magnitude 1700 N/C. The field lines make a 35 degree angle with the normal line. Find the electric flux through the surface.

Homework Equations



[itex]\oint[/itex]E[itex]\cdot[/itex]dA

The Attempt at a Solution



Well, since E[itex]\cdot[/itex]dA can be rewritten as EA*cos([itex]\Theta[/itex]), I did that, and since E and Cos([itex]\Theta[/itex]) are constants, I pulled them out of the integral giving me

E*Cos([itex]\Theta[/itex])[itex]\oint[/itex]dA

which comes out to be E*Cos([itex]\Theta[/itex])*A, but when I plug in 1700*Cos(35)*.0034[itex]^{2}[/itex] it's wrong.

Any suggestions?
 
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  • #2
You've converted mm to m incorrectly.
 
  • #3
Sorry, that's a typo on my part, it's supposed to be 3.4 mm
 
  • #4
Is your calculator in degree mode? Your method is correct.
 
  • #5
Yeah, it is. Must be webassign, I hate it. Thanks very much for your help.
 

FAQ: Calculating Electric Flux Through a Square Surface

What is flux through a square surface?

Flux through a square surface is a measure of the flow of a quantity, such as electric field or fluid, through a square-shaped area. It is calculated by taking the dot product of the vector field and the unit normal vector to the surface.

How is flux through a square surface calculated?

To calculate flux through a square surface, you need to determine the magnitude of the vector field and the angle between the vector field and the unit normal vector to the surface. Then, multiply the magnitude by the cosine of the angle to get the flux value.

What are the units of flux through a square surface?

The units of flux through a square surface depend on the quantity being measured. For example, if the flux is electric field, the units are volts per meter squared. If the flux is fluid flow, the units are cubic meters per second per meter squared.

What factors affect the flux through a square surface?

The flux through a square surface is affected by the magnitude and direction of the vector field, as well as the orientation of the surface. The size and shape of the surface also play a role in determining the flux value.

What is the significance of flux through a square surface in science?

Flux through a square surface is an important concept in physics and engineering. It is used to understand and analyze the flow of various quantities, such as electric fields, magnetic fields, and fluid flow. It also has practical applications in fields such as electromagnetism, fluid dynamics, and thermodynamics.

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