Why is the formula for magnetic field not divided by length in this image?

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Homework Help Overview

The discussion revolves around the formula for magnetic fields, specifically questioning why a certain expression does not include a division by length. The subject area pertains to electromagnetism and inductance.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between mutual inductance and magnetic field expressions, questioning the presence of length in the denominator of a specific formula. There is an inquiry into the reasoning behind the formulation of the magnetic field in the context of solenoids.

Discussion Status

The discussion is ongoing, with participants clarifying terms and definitions related to magnetic fields and inductance. Some guidance has been provided regarding the interpretation of variables in the equations, but no consensus has been reached on the original poster's question.

Contextual Notes

There appears to be some confusion regarding notation, particularly the distinction between lower and upper case letters in the formulas discussed. This may affect the understanding of the expressions being referenced.

nabliat
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http://i26.tinypic.com/250tkyh.jpg

the formula for magnetic field
is like they show but its not divided by l
like they did

i can't see a reason why they present it that way
??
 
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You mean in the equation for [itex]M[/itex]?

If so, [itex]M[/itex] is the mutual inductance and by definition,

[tex]\Phi_{\text{total}}=MI\implies M=\frac{\Phi_{\text{total}}}{I}[/tex]
 
no
i am asking about the previous step
when they found the magnetic field
and the expression has l in the denominator

why??
 
Sorry, the lower case 'L' in your post looked a lot like an upper case 'i' the first time i read it...

[tex]\frac{N_b}{l}[/tex] would give you th number of turns per unit length in the solenoid, which is what [itex]n[/itex] represents in the version you are probably used to seeing: [itex]B=\mu_0 n I[/itex].
 
thanks :)
 

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