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[PLAIN]http://img690.imageshack.us/img690/2600/47007002.jpg [Broken]

I understand how to use motional emf to solve this problem.

[tex]\int_C U \times B\, dl[/tex]

[tex]U = \omega R[/tex]

and

[tex] \int_C dl = H[/tex]

so the answer, symbolically, is

[tex] \omega RHB[/tex]

where [tex]\omega[/tex] is the spinning in rad/s, R is the radius of the cylinder, H is the cylinder's height, and B is the radial magnetic field.

Could someone help me to use Faraday's law to derive the same answer? In my mind, the magnetic flux is constant since if you take snapshots of the spinning cylinder, you always have the same magnetic field flowing through the same surface area (which I believe to be the cylinder's surface area minus to two circular tops).

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# Homework Help: Rotating Conducting Cylinder in B - Induced Voltage

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