Do Multiple Magnets Increase Magnetic Chain Strength Proportionally?

[rfoo]

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!

 

[adjacent]

huh? I don't understand your question. Can you show a diagram?

 

[rfoo]

huh? I don't understand your question. Can you show a diagram?

that's all i am given. there is no diagram or anything...

 

[rfoo]

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

 

[unscientific]

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.