How Fast Must the Magnetic Field Change to Induce a 3.4 A Current in a Coil?

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Homework Help Overview

The problem involves a coil with a specific number of turns and dimensions, where a magnetic field is applied perpendicularly. The goal is to determine the rate at which the magnetic field must change to induce a certain current in the coil, using the properties of copper and relevant equations.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss various equations related to magnetic fields, resistance, and induced electromotive force (EMF). There are attempts to calculate resistance using the resistivity of copper, and questions arise regarding the correct use of coil dimensions and wire properties.

Discussion Status

Participants are actively engaging with the problem, exploring different equations and their applicability. Some have provided calculations and are seeking verification or correction of their methods. There is a recognition of potential errors in previous calculations, and multiple interpretations of the problem setup are being considered.

Contextual Notes

There is a mention of homework constraints, including limited attempts on an online platform, which adds pressure to find the correct solution. Participants are also clarifying the definitions of variables and their relevance to the problem.

  • #31
Acoil = 7.4506 e^-4
I don't get this. I think you may have made a calculator error. The diameter is 0.038 m, right?
So L = pi*Dwire*102 = 0.18906m
This should be Dcoil instead of Dwire. Dwire tells you nothing of how long the wire is. The diameter of the coil tells you that.

If you fix these two things I think the rest should be OK.
 
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  • #32
okay so I got an answer or 35.243 T/s and it's still wrong :(
 
  • #33
actually I forgot to change the L value when I calculated the Resistance so now I am getting 2269.9 T/s which seems extremely large! Is that what you got?
 

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