76. A circular metal disk of radius R rotates with angular velocity w about an axis through its center perpendicular to its face. The disk rotates in a uniform magnetic field B whose direction is parallel to the rotation axis. Determine the emf induced between the center and the edges.
76. A circular metal disk of radius R rotates with angular velocity w about an axis through its center perpendicular to its face. The disk rotates in a uniform magnetic field B whose direction is parallel to the rotation axis. Determine the emf induced between the center and the edges.
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P-6 please help me with the below problem with step by step explanation clearly.
Hints: This problem can seem confusing since B is constant and the area of the disk is constant, so it seems like there should be no emf at all. One way to make progress is to first consider a single radial spoke running from the axis to the edge, then argue that the spoke is a valid analog for the whole disk. In addition, to prove the existence of an emf, you will need to construct a hypothetical circuit whose area is clearly increasing or decreasing as a function of time, you could use E = v x B.
Transcribed Image Text:76. A circular metal disk of radius R rotates with angular
velocity w about an axis through its center perpendicular to
its face. The disk rotates in a uniform magnetic field B
whose direction is parallel to the rotation axis. Determine
the emf induced between the center and the edges.
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