Do Multiple Magnets Increase Magnetic Chain Strength Proportionally?

rfoo
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Homework Statement


Does the number of attached identical magnets linearly relate to the number of paper clips/bolts/nuts that are magnetically chained together?


Homework Equations


I have no idea.


The Attempt at a Solution


Yes they are linearly related?

I am guessing that yes it is linear. But I need equations and a full explanation on why this is. Please help!
 
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huh? I don't understand your question. Can you show a diagram?
 
adjacent said:
huh? I don't understand your question. Can you show a diagram?

that's all i am given. there is no diagram or anything...
 
adjacent said:
huh? I don't understand your question. Can you show a diagram?

ok i think i sort of understand what this question is asking. it is saying, if there are more magnets attached to each other, will there be proportionately more papersclips that will attract to the magnets? basically like... how does stacking a bunch of magnets increase the strength of them? provide equations and such
 
rfoo said:
ok i think i sort of understand what this question is asking. it is saying, if there are more magnets attached to each other, will there be proportionately more papersclips that will attract to the magnets? basically like... how does stacking a bunch of magnets increase the strength of them? provide equations and such

For ferromagnets, we assume the magnetization is linear with field:

\vec M = \chi_m \vec H

So for ferromagnets, yes they are linearly related.
 

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