Calculate the magnetic flux density

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Homework Help Overview

The discussion revolves around calculating the magnetic flux density near a large air-cored electromagnet by measuring the induced flow of charge in a small coil. Participants are tasked with determining the magnetic flux density based on given parameters such as the radius of the coil, resistance per unit length, and total charge flow.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between charge, magnetic flux density, and resistance, questioning the assumptions made regarding the number of turns and the total resistance. They discuss how to express resistance in terms of the number of turns and the resistance per unit length.

Discussion Status

The discussion is active, with participants providing insights and questioning the assumptions about the number of turns and resistance. Some participants suggest working with symbolic expressions rather than numerical values, while others express uncertainty about how to relate the length of wire to the number of turns.

Contextual Notes

Participants note the lack of explicit values for certain parameters, such as the total length of wire and the number of turns, which complicates the calculations. The discussion emphasizes the need to derive expressions based on given relationships rather than relying on specific numerical values.

  • #31
TSny said:
Keep in mind that L is the length of the wire in the coil (because you need the resistance R of the wire). L is not the length of the cylinder on which the wire is wound. If you had to make a coil of N turns by winding wire around a cylinder of radius r, what length of wire would you need?
L = N 2 π r?

B = Q N 2 π r u / π r2 N = Q 2 u / r that gets B = 0.2 T. Thank you!
 
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  • #32
moenste said:
L = N 2 π r?

B = Q N 2 π r u / π r2 N = Q 2 u / r that gets B = 0.2 T. Thank you!
Yes, that's it.
 
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