Calculating Charge in an Earth Electric Field: Gauss' Law

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SUMMARY

The discussion focuses on calculating the charge contained in a cube using Gauss' Law, based on the earth's electric field measurements at heights of 200 m and 300 m. The electric field strength is 100 Vm-1 at 200 m and decreases to 60 Vm-1 at 300 m. Participants emphasize the importance of applying Gauss' Law rather than Coulomb's Law for this problem. For accurate results, it is recommended to consult an introductory physics textbook that covers Gauss' Law.

PREREQUISITES
  • Understanding of Gauss' Law
  • Familiarity with electric field concepts
  • Basic knowledge of charge and electric flux
  • Ability to interpret physics diagrams
NEXT STEPS
  • Study Gauss' Law applications in electrostatics
  • Review electric field strength calculations
  • Explore the relationship between charge and electric flux
  • Consult introductory physics textbooks for problem-solving techniques
USEFUL FOR

Physics students, particularly those preparing for exams or resits in electromagnetism, and anyone seeking to deepen their understanding of electric fields and Gauss' Law applications.

carus88
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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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carus88 said:
... Use Gauss’ law ...

Use Gauss' law, not Coulomb's law.
 
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.
 

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