Planar Coil Rotating in a Magnetic Field

[bab72]

Homework Statement

Is this correct?

In a homogeneous magnetic field of induction B, a plane coil rotates at a constant angular velocity omega. The figure shows three different positions of the thread relative to the induction lines. What orientation of the coil would be needed in prefer to have magnetic flux 0 at 90 degrees and volatge maximum at 0 degrees

To achieve maximum voltage when the coil is at 0 degrees and zero voltage when it's at 90 degrees, the coil should be oriented such that its plane is parallel to the magnetic field lines when it's at 0 degrees and perpendicular to the magnetic field lines when it's at 90 degrees. This orientation ensures maximum flux cutting when the coil is parallel to the field lines (0 degrees), resulting in maximum induced voltage, and minimum flux cutting when the coil is perpendicular to the field lines (90 degrees), resulting in zero induced voltage.

Relevant Equations

flux = BS

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[BvU]

Hello @bab72 ,

I had to decode your post somewhat and this is what I think you mean:

Homework Statement:
In a homogeneous magnetic field of induction B, a plane coil rotates at a constant angular velocity omega. The figure shows three different positions of the thread relative to the induction lines. What orientation of the coil would be needed in prefer to have magnetic flux 0 at 90 degrees and volatge maximum at 0 degrees

But the figure is missing. Can you post it?

Next is your proposed answer:

To achieve maximum voltage when the coil is at 0 degrees and zero voltage when it's at 90 degrees, the coil should be oriented such that its plane is parallel to the magnetic field lines when it's at 0 degrees and perpendicular to the magnetic field lines when it's at 90 degrees. This orientation ensures maximum flux cutting when the coil is parallel to the field lines (0 degrees), resulting in maximum induced voltage, and minimum flux cutting when the coil is perpendicular to the field lines (90 degrees), resulting in zero induced voltage.
Relevant Equations: flux = BS

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The term 'flux cutting' is inventive! But I would be happier if you include a relevant equation for the voltage, perhaps something with $d\,{\text {flux}}\over dt$ ?

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