- #31
mindarson
- 64
- 0
TSny said:
No, you're right, it points downwards so should be < 0.
Tricky problem - Find E-field of a sheet of charge
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SUMMARY
The forum discussion focuses on calculating the electric field generated by a uniformly charged, infinitesimally thin rectangular sheet with total charge Q. The participants discuss the use of superposition and the integral E = ∫kdq/r² to derive the electric field at an arbitrary distance x along the positive x-axis. Key challenges include expressing the distance r in terms of integration variables and correctly setting limits for the integrals. The solution involves treating the sheet as a series of vertical strips and integrating over the charge distribution to account for the electric field's vector nature.
PREREQUISITES- Understanding of electric fields and charge distributions
- Familiarity with calculus, particularly double integrals
- Knowledge of vector components and their significance in physics
- Experience with the concept of charge density (σ) and its application in electrostatics
- Study the derivation of electric fields from continuous charge distributions
- Learn about the application of vector calculus in electromagnetism
- Explore the method of superposition in electric field calculations
- Investigate improper integrals and their applications in physics problems
Students of physics, particularly those studying electromagnetism, as well as educators and anyone involved in solving problems related to electric fields and charge distributions.
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