Electric Flux problem calc based phys

In summary, a 2.4m x 0.5m rectangular metal sheet bent at its center line with an angle of 30 degrees with the xy plane has a constant electric field of (25j + 80k) (Newtons/Coulomb) applied to it. The total electric flux through the metal sheet is 108.2 nm2/C.
  • #1
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Homework Statement


A 2.4m X 0.5m rectangular metal sheet is bent at its center line, so that the bent portion makes an angle of 30 degrees with the xy plane, as shown in the figure in the link http://tinypic.com/r/15wdytx/5 . A constant electric field E=(25j +80k)(Newtons / Coulomb) is applied to the sheet. Find the total electric flux through the metal sheet.





Homework Equations



General equation of electric flux = integral of the the surface area... Exn[dA]

The Attempt at a Solution



The electric flux equals the sum of the fields times the area change

http://tinypic.com/r/w0rvpy/5

so eflux = (80)(1.04)= 83.2 nm2/C
 
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  • #2
The total electric flux is the sum of the two components: eflux = (25)(1.04) + (80)(1.04) = 108.2 nm2/C
 

Related to Electric Flux problem calc based phys

What is electric flux?

Electric flux is a measure of the amount of electric field passing through a given area. It is represented by the symbol Φ and is measured in units of volts per meter (V/m).

How is electric flux calculated?

The electric flux passing through a surface is calculated by multiplying the strength of the electric field by the perpendicular area of the surface. This can be represented by the equation Φ = E*A*cos(θ), where E is the electric field, A is the area, and θ is the angle between the electric field and the normal vector of the surface.

What is the unit of electric flux?

The unit of electric flux is volts per meter (V/m). This unit is derived from the units of electric field (volts) and area (meters).

What are some common applications of electric flux?

Electric flux is commonly used in the study of electromagnetism and is important in understanding the behavior of electric fields and charges. It is also used in various engineering applications, such as in the design of electronic devices and in the analysis of electric circuits.

How does the presence of a dielectric material affect electric flux?

A dielectric material, such as an insulator, does not conduct electricity and therefore does not affect the electric flux passing through it. However, the presence of a dielectric material can alter the strength of the electric field, which in turn affects the electric flux passing through other materials in the vicinity.

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