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Nway
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Can ##\vec{ds}## also be though of as the displacement of a positive test using the right hand rule?nasu said:
Why is the Length Element in Ampere's Law Perpendicular to the Current?
- Thread starter Nway
- Start date
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- Ampere's law Element Law Length
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Homework Help Overview
The discussion revolves around the orientation of the length element vector (ds) in Ampere's Law and its relationship to the direction of current. Participants explore why the length element is considered perpendicular to the current in certain contexts, particularly when integrating along a circular path.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- Some participants question the assumption that the length element should be parallel to the current, suggesting a need to review the definitions and mathematical statements associated with Ampere's Law.
- Others discuss the implications of integrating along different paths, such as circular loops versus straight wires, and how this affects the orientation of the length element.
- There are inquiries about the relationship between the length element and the current, particularly in the context of the Biot-Savart Law versus Ampere's Law.
Discussion Status
The discussion is ongoing, with participants actively questioning and clarifying their understanding of the concepts. Some have offered insights into the geometric interpretations of the problem, while others express confusion about the definitions and their applications in different scenarios.
Contextual Notes
Participants note that the integration path and the context of the problem significantly influence the relationship between the length element and the current. There is also mention of the need for clarity in the definitions used in textbooks and how they relate to the laws being discussed.