- #31
cdummie
- 147
- 5
SammyS said:
I know it is, i just drew it wrong, but anyway, what's the deal with angle, i still don't understand how it is sine and not cosine?
Finding the Magnetic Field in a System with Intersecting Current-Carrying Pieces
- Thread starter cdummie
- Start date
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Homework Help Overview
The discussion revolves around calculating the magnetic field in a system with intersecting current-carrying pieces. The problem involves a current density of J=0.5 A/mm² and two cylindrical sections with specified dimensions, where the intersection does not carry current. Participants are tasked with finding the magnetic field vectors at points P1 and P2 using the Biot-Savart law and considering the effects of superposition.
Discussion Character
- Exploratory, Assumption checking, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss using superposition to calculate the magnetic field and consider the implications of the intersection area where no current flows. There are questions about the direction of the magnetic field vectors at points P1 and P2, particularly in relation to the right-hand rule and the net current flow being zero.
Discussion Status
The discussion is ongoing, with participants exploring different interpretations of the problem. Some suggest using Ampere's law in conjunction with superposition, while others are questioning the assumptions made about the contributions of the magnetic fields from each cylinder. There is a recognition that the intersection area complicates the calculation, and participants are attempting to clarify their understanding of the setup.
Contextual Notes
Participants note that the current flows in opposite directions in the two shaded regions, leading to a net current of zero in the intersection area. There is uncertainty about how to account for the intersecting area in the calculations, and some participants express confusion regarding the integration limits and the application of the Biot-Savart law.
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