Electric Field due to a Charged Disk.

In summary, the conversation is about finding the electric field due to a Charged Disk at a distance of "d" along the disk's axis direction. The charge on the disk has a maximum value at the center and decreases towards the edges. The solution for a uniformly charged disk is known, but the person is struggling with the situation described. The conversation ends with a reminder to show attempts in order to receive help.
  • #1
phoibos323
2
0

Homework Statement


Find the electric field due to a Charged Disk at a distance of "d" which is in the disk's axis direction. The charge has it's maximum value at disk's center and decreases towards the edges.

I have the solution for uniformly charged disk but I can't figured it out for the situation above. Thank you.

Homework Equations





The Attempt at a Solution


http://img78.imageshack.us/img78/2523/23735598xe1.jpg [Broken]
http://g.imageshack.us/img78/23735598xe1.jpg/1/ [Broken]
 
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  • #2
Any answers?
 
  • #3
What have you tried so far? No one would help you if you don't show any attempt. Start by writing the surface charge density of the disk in terms of r, the radial distance from the disk centre to any given point on the disk.
 

1. What is a charged disk?

A charged disk is a flat, circular object that has a net electric charge. This charge can be either positive or negative, and it is spread out evenly across the surface of the disk.

2. How is the electric field calculated for a charged disk?

The electric field due to a charged disk can be calculated using the formula E = (σ/2ε0) * (1 - (z/√(z2 + R2))), where σ is the surface charge density, ε0 is the permittivity of free space, z is the distance from the center of the disk, and R is the radius of the disk.

3. How does the electric field change as you move away from the charged disk?

The electric field decreases as you move away from the charged disk. This is because the electric field is directly proportional to the distance from the charged object. As the distance increases, the electric field becomes weaker.

4. Can the electric field due to a charged disk be negative?

Yes, the electric field can be negative due to a charged disk. This occurs when the charge on the disk is negative, which results in an inward electric field towards the disk. However, the magnitude of the electric field will still decrease as you move away from the disk.

5. How does the electric field due to a charged disk differ from a point charge?

The electric field due to a charged disk differs from a point charge in that it is not constant at all points around the disk. The electric field is strongest at the center of the disk and decreases as you move towards the edges. In contrast, the electric field from a point charge is constant at all points in space.

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