What orientation will give the minimum mutual inductance?

[NeedsHelp1212]

Homework Statement

Suppose a fixed distance separates the centers of two circular loops. What relative orientation of the loops will give the maximum mutual inductance? What orientation will give the minimum mutual inductance?

Homework Equations

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The Attempt at a Solution

I really don't understand how to answer this question. The book does not expand upon this topic

 

[Sethric]

Think about what induction is, how to calculate it, and what that implies about orientation with mutual induction. In particular, look at Faraday's Law.

 

[NeedsHelp1212]

my book does not say how the mutual inductance is calculated. I read online that you simply add then up if they are connected in series.

 

[Sethric]

I'm just talking about two loops in free space, which is what it looks like your question is talking about. Not a circuit. Say, you can have them parallel, rotate one until it is perpendicular, etc. You don't need a formula for the answer. What does faraday's law say about induction?

 

[NeedsHelp1212]

If its perpendicular, then cos 90= 0, so you would get a minimum. And when it's parallel cos 0= 1 so you get a maximum?

I got this from looking at the magnetic flux which is proportional the mutual inductance if everything else is kept constant.

 

[Sethric]

Correct, since the induction depends on magnetic flux, you want to align one of the loops so that the induced magnetic field contributes a constant flux of zero to the other loop.