Electric Field Distribution of a disk

In summary, the conversation discusses calculating the electric field at a point on the central axis of a disc with a uniform charge distribution, as well as the acceleration of an electron passing through the same point. It also mentions setting up the charge density for the disc. The suggestion is made to use the symmetry of the setup to calculate the surface area of the disc, which can then be used to find the charge density σ.
  • #1
davidflip
3
0
Hi can someone help me with this problem?

A thin disc of radius 60 cm has a hole its center of radius 30 cm. A total charge of
10^-3C is distributed uniformly on its surface. Find E at a point P which is 10 cm. on the central axis of this disc.
What would be the acceleration of an electron passing through point P ?. Mass of electron = 9.11*10^-31 Kg.

How would I set up dq for this?
would it simply be dq= σ2∏rdr? and if it is what is the numerical value for σ?

Thank you!
 
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  • #2
You have a uniform charge distribution. Can you calculate the total surface area of your disk? This should give you σ.

would it simply be dq= σ2∏rdr?
If you use the symmetry of the setup, you can use that.
 

FAQ: Electric Field Distribution of a disk

What is the definition of electric field distribution?

Electric field distribution is the spatial arrangement of electric field strength in a given region or space. It describes how the electric field is distributed or spread out in a specific area, and is often visualized using field lines.

How is the electric field distribution of a disk calculated?

The electric field distribution of a disk is calculated using the equation E = σ/2ε0, where E is the electric field strength, σ is the surface charge density of the disk, and ε0 is the permittivity of free space. This equation can be used to determine the electric field strength at any point in space around the disk.

What factors affect the electric field distribution of a disk?

The electric field distribution of a disk is affected by the surface charge density of the disk, the distance from the disk, and the permittivity of the surrounding medium. Additionally, the shape and size of the disk can also impact the electric field distribution.

What is the significance of the electric field distribution of a disk in practical applications?

The electric field distribution of a disk is important in various practical applications, such as in electronic devices. It helps engineers and scientists design and optimize the performance of these devices by understanding how the electric field is distributed and how it affects the behavior of the system.

How does the electric field distribution of a disk compare to other shapes?

The electric field distribution of a disk is unique and can be different from other shapes, such as a point charge or a sphere. This is because the charge distribution and geometry of the disk are different, resulting in a different electric field distribution. However, the principles and equations used to calculate the electric field distribution are the same for all shapes.

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