Calculating Charge in an Earth Electric Field: Gauss' Law

In summary, the conversation discusses the measurement of the earth's electric field at different heights and its direction and strength. It also mentions the use of Gauss' law to determine the charge contained in a cube at a specific height. The speaker is seeking guidance on how to approach the problem.
  • #1
carus88
13
0
The earth’s electric field is measured at a height of 200 m and is found to be directed vertically downwards and to have a strength of 100 Vm1. At a height of 300 m, the direction of the field is found to be the same, but the field’s strength has decreased to 60 Vm1. Use Gauss’ law to determine the amount of charge contained in a cube of side 100 m with one face parallel to the earth’s surface located at a height between 200 m and 300 m. (You may ignore the curvature of the earth.)

THIS IS FOR A PHYSICS DEGREE MODULE RESIT. I HAVE DRAWN RELEVANT DIAGRAMS YET I HAVE NO IDEA WHERE TO START. aNY GUIDANCE IN THE RIGHT DIRECTION WOULD BE A MASSIVE HELP.

do I use coulombs law and work out the respective charges?
 
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  • #2
carus88 said:
... Use Gauss’ law ...

Use Gauss' law, not Coulomb's law.
 
  • #3
This is a pretty standard and basic Gauss's Law problem. I would suggest finding an introductory physics textbook and reading the appropriate section. You might even find this same problem solved, or something like it.
 

Related to Calculating Charge in an Earth Electric Field: Gauss' Law

What is Gauss' Law?

Gauss' Law is a fundamental law in physics that relates the distribution of electric charge to the electric field it produces. It states that the flux of the electric field through a closed surface is proportional to the enclosed electric charge.

How is Gauss' Law used to calculate charge in an electric field?

Gauss' Law can be used to calculate the electric field produced by a given charge distribution. By integrating the electric field over a closed surface, the flux can be calculated and then equated to the enclosed charge multiplied by a constant factor.

What is the importance of using Gauss' Law when calculating charge in an electric field?

Gauss' Law provides a simplified and more efficient way to calculate the electric field in situations with high symmetry, such as a point charge or a charged sphere. It also helps to understand the underlying relationship between electric charge and electric fields.

Can Gauss' Law be applied to non-uniform electric fields?

Yes, Gauss' Law can be applied to non-uniform electric fields as long as the electric field is known at every point on the closed surface. In these cases, the electric field must be integrated over the entire surface to calculate the flux.

Are there any limitations to using Gauss' Law?

Gauss' Law is only applicable to static electric fields, meaning that the charges producing the field are not changing in time. It also assumes that the electric field is continuous and well-defined at every point on the surface. Additionally, it is only valid in vacuum or in materials with a constant permittivity.

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