Did I find the correct ratio in this magnetic field question?

AI Thread Summary
The discussion centers on finding the correct ratio of N1 to N2 in a magnetic field problem, where the user derived N1/N2=λ by equating B1 and B2. There is uncertainty about whether λ needs to be a specific numerical value or if a variable suffices. The user expresses confusion regarding the problem setup, particularly the lack of information about N2 and the absence of a visual aid. Another participant suggests that the correct answer might actually be 2λ, based on the current in the second coil being twice that of the first. Clarification on the problem details and a visual representation are deemed necessary for a complete understanding.
HazyMan
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Homework Statement
A current carrying coil has a spiral amount N1, length L and a current of I1 flows through it. A current of I2=2I1 flows through a cyclic current carrying wire, which has the coil's axis start as it's centre, has a radius of r=L/λ and is parallel to it. Find the spiral ratio N1/N2 where the magnitude B is equal to 0.
NOTE: Kμ is a constant equal to 10^-7
Relevant Equations
B1=Κμ4π(N1/L)I1 and B2=Κμ(4πI1/L)λN2
I used the two equations i listed by using B1=B2 and by doing that i ended up finding that N1/N2=λ.
However i am not sure if that's the correct answer as λ is just a variable and not an actual number. Do you think it has to be an actual number or is it not really necessary?
 
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I am not sure I understand the problem setup entirely (you don't tell us for example what ##N_2## is and also a scheme would help enormously, if you have a picture of it, use the upload image link to post it here) but I think the correct answer should be ##2\lambda## since the current in the second coil is two times the current of the first coil.
 
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