Magnitude of an Electric Field in a Cylinder

In summary, the magnitude of the electric field in a cylinder is calculated using the formula E = (1/2)(ρr/ε<sub>0</sub>). It decreases as the distance from the center of the cylinder increases due to the spreading out of electric field lines. It can be zero if there is no charge present or if the charge is distributed evenly. The magnitude of the electric field in a cylinder is different from that of a point charge and can be affected by factors such as charge density, radius, permittivity of free space, and nearby charges or conductors.
  • #1
freddy13
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0

Homework Statement


A thin, cylindrical copper shell of diameter ds = 2 cm has along its axis a thin metal wire of diameter dw = 7.50 x 10-03 cm. (as shown in the diagram below.) The wire and the shell carry equal and opposite charges of 6.35 x 10-09 C/cm, distributed uniformly. What is the magnitude of the electric field at a point r = 2.30 mm, where r is measured radially from the center of the inner wire?


Homework Equations



I think EA = E*2*∏*r*L = (λ*L)/ε0
 
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  • #2
Use Gauss law here. Flux = Q(in)
 

1. What is the formula for calculating the magnitude of an electric field in a cylinder?

The formula for calculating the magnitude of an electric field in a cylinder is E = (1/2)(ρr/ε0) where ρ is the charge density, r is the radius of the cylinder, and ε0 is the permittivity of free space.

2. How does the magnitude of the electric field change as the distance from the center of the cylinder increases?

The magnitude of the electric field decreases as the distance from the center of the cylinder increases. This is because the electric field lines spread out and become less concentrated as they move away from the center.

3. Can the magnitude of the electric field inside a cylinder ever be zero?

Yes, the magnitude of the electric field inside a cylinder can be zero if there is no charge present or if the charge is distributed evenly throughout the cylinder.

4. How does the magnitude of the electric field in a cylinder compare to that of a point charge?

The magnitude of the electric field in a cylinder is different from that of a point charge. In a cylinder, the electric field is dependent on the charge density and the radius, whereas in a point charge, it is only dependent on the distance from the charge.

5. What factors can affect the magnitude of the electric field in a cylinder?

The magnitude of the electric field in a cylinder can be affected by the charge density, the radius of the cylinder, and the permittivity of free space. Additionally, the presence of other charges or conductors nearby can also affect the electric field.

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