Magnetic field due to a straight wire

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SUMMARY

The discussion focuses on the mathematical derivations related to the magnetic field generated by a straight wire. Specifically, it addresses the equation ##\frac{1}{R} = \frac{sin(\phi)}{R}## and the expression ##y = - cot(g\phi)##. Participants seek clarification on the steps involved in these derivations, indicating a need for deeper understanding of trigonometric relationships in the context of magnetic fields. The conversation highlights the importance of grasping these mathematical foundations for accurate analysis of magnetic fields.

PREREQUISITES
  • Understanding of trigonometric functions, particularly sine and cotangent.
  • Familiarity with the concept of magnetic fields and their mathematical representations.
  • Basic knowledge of calculus, especially derivatives and their applications in physics.
  • Experience with vector analysis in the context of electromagnetism.
NEXT STEPS
  • Study the derivation of magnetic fields from current-carrying wires using Biot-Savart Law.
  • Explore the relationship between trigonometric functions and their applications in physics.
  • Learn about vector calculus and its role in electromagnetism.
  • Investigate the principles of electromagnetism, focusing on Ampère's Law and its applications.
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in understanding the mathematical principles behind magnetic fields generated by current-carrying conductors.

Celso
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Can someone help me to understand some of these steps?
Why can we write ##\frac{1}{R} = \frac{sin(\phi)}{R}## and ##y = - cot(g\phi)##?
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The derivations are written. Which part didnt you understand exactly ?
 

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