Derivation Problem (Magnetic Field)

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SUMMARY

The forum discussion centers on a derivation problem related to magnetic fields, specifically the formula B = 8 M0 N (I - I0) / (1251/2 a). The user expresses difficulty in arriving at the correct derived formula and believes that the solution involves the relationship Bf = 2Bj, where Bj is defined as φ(Ij - Io). This indicates a need for clarity in the application of magnetic field equations in the context of the problem presented.

PREREQUISITES
  • Understanding of magnetic field equations, specifically B = μN(I - I0).
  • Familiarity with the concepts of current (I) and its variations (I0).
  • Knowledge of the physical constants involved, such as permeability (M0).
  • Basic algebraic manipulation skills for deriving formulas.
NEXT STEPS
  • Study the derivation of magnetic field equations in electromagnetism.
  • Learn about the significance of the permeability constant (M0) in magnetic field calculations.
  • Explore the relationship between current variations (Ij and Io) in magnetic field contexts.
  • Practice solving similar derivation problems using provided equations.
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in solving magnetic field derivation problems.

Solisiel
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Homework Statement


Hi, I'm having trouble solving this problem:
hY8ScX3.png

I can't seem to get to the right derived formula. The one selected is wrong. I'm still attempting to solve this.

Homework Equations


B= 8 M0 N (I - I0)
1251/2 a

e = 2V
m B2 R2

The Attempt at a Solution


E1k2TCT.jpg


Here's my attempt at it.
 
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Seems to me that it is the 6th answer from the top since
Bf = 2Bj where Bj = φ(Ij - Io)
 

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