Finding an electric field on a disk using surface charge density

In summary, surface charge density is a measure of electric charge per unit area on a surface, represented by the symbol σ and measured in coulombs per square meter. It is directly proportional to the electric field on the surface and can be found using the formula E = σ/ε0. It is typically measured in units of C/m2 and can be experimentally determined by measuring the total charge on a surface and dividing it by the surface area using an electrometer.
  • #1
gretchin
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0

Homework Statement



A disk of radius 2.30 cm has a surface charge density of 5.22 μC/m2 on its upper face. What is the magnitude of the electric field produced by the disk at a point on its central axis at distance z = 11.2 cm from the disk?


Homework Equations



Formula for an electric field

The Attempt at a Solution



(int)dEz= sigma/2ep0 (1-z/sqrt(z^2+r^2)
 
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  • #2
Break up the disk into elementary rings and integrate.
 

Related to Finding an electric field on a disk using surface charge density

1. What is surface charge density?

Surface charge density is a measure of the electric charge per unit area on a surface. It is represented by the symbol σ and is typically measured in units of coulombs per square meter.

2. How is surface charge density related to electric field?

Surface charge density is directly proportional to the electric field on a surface. The higher the surface charge density, the stronger the electric field will be.

3. How do you find the electric field on a disk using surface charge density?

The electric field on a disk can be found by using the formula E = σ/ε0, where E is the electric field, σ is the surface charge density, and ε0 is the permittivity of free space.

4. What units is surface charge density typically measured in?

Surface charge density is typically measured in units of coulombs per square meter (C/m2).

5. How can surface charge density be experimentally determined?

Surface charge density can be experimentally determined by measuring the total charge on a surface and dividing it by the surface area. This can be done using a device called an electrometer.

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