Electric Flux Through a Square: Exploring Distance Effects

In summary, the question asks for the magnitude of the electric flux through a square with a point charge located a distance d/2 above its center. The hint suggests thinking of the square as one face of a cube with edge d, and using the equation Flux = E dot dA. This means finding the Electric field going through the side of the square, which can be calculated using the equation for an electric field due to a point charge. The distance from the square, d/2, is used in the equation to calculate the Electric field.
  • #1
jordanjj
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Homework Statement


In the figure, a point charge -3.2μ C is a distance d/2 directly above the center of a square of side d = 0.34 cm . What is the magnitude of the electric flux through the square? (Hint: Think of the square as on face of a cube with edge d.)
(in N*m^2/C)


Homework Equations





The Attempt at a Solution


Ok so I am not asking specifically for the solution, but when the charge is located a specific distance from a finite plane such as this, how does the distance from the square(d/2) play into the solution?
 
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  • #2
Well since Flux = E dot dA, you need to find the Electric field going through the side of the square. So the distance from the square is r in the equation for an electric field due to a point charge ( E = kq/(r^2) ).
 
  • #3


The distance from the square plays a crucial role in determining the magnitude of the electric flux through the square. The electric flux is a measure of the electric field passing through a given surface, and it is directly proportional to the strength of the electric field and the area of the surface. In this case, the distance from the square affects the strength of the electric field at the surface of the square. As the distance decreases, the electric field strength increases, resulting in a higher electric flux through the square. This is because the electric field lines are more concentrated and perpendicular to the surface of the square when the charge is closer to it. On the other hand, as the distance increases, the electric field strength decreases, resulting in a lower electric flux through the square. This is because the electric field lines become more spread out and less perpendicular to the surface of the square. Therefore, the distance from the square is a crucial factor in determining the magnitude of the electric flux through the square.
 

1. What is electric flux and how is it calculated?

Electric flux is a measure of the amount of electric field passing through a given surface. It is calculated by multiplying the electric field strength by the area of the surface and the cosine of the angle between the electric field and the surface normal.

2. How does the distance from the source affect the electric flux through a square?

The electric flux through a square is inversely proportional to the distance from the source. This means that as the distance from the source increases, the electric flux decreases.

3. What is the significance of exploring distance effects on electric flux through a square?

Exploring distance effects on electric flux through a square helps us understand how the strength of the electric field changes with distance. This can be useful in various practical applications, such as designing electrical circuits or understanding the behavior of electric fields in different environments.

4. How is the angle between the electric field and the surface normal important in calculating electric flux?

The angle between the electric field and the surface normal is important because it determines the amount of electric field passing through the surface. The larger the angle, the less electric field will pass through the surface and therefore the lower the electric flux will be.

5. Can the shape of the surface affect the electric flux through a square?

Yes, the shape of the surface can affect the electric flux through a square. If the surface is tilted or curved, the angle between the electric field and the surface normal will vary, resulting in a different amount of electric flux passing through the surface.

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