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Figure 29.17 shows a conducting disk with radius R that lies in the xy-plane and rotates with constant angular velocity ω about the z-axis. The disk is in a uniform, constant B field in the z-direction. Find the induced emf between the center and the rim of the disk.

LET'S SOLVE ! THE FARADAY DISK DYNAMO
Figure 29.17 shows a conducting disk with radius R that lies in the
xy-plane and rotates with constant angular velocity w about the
z-axis. The disk is in a uniform, constant B field in the z-direction.
Find the induced emf between the center and the rim of the disk.
....Young and Freedman Textbook
CONCEPTUAL QUESTION
In a Faraday Disk Dynamo,
-The magnetic field B is constant
-The Area A of the disk also seems
to be constant
- The angle =0 since the disk
only rotates about it's axis
If neither B, A or is changing, then
what causes the induced EMF?!!
Is this a Faraday's Electromagnetic
Paradox?
B
B
R
B
6
dr
B
Speed of small radial segment
of length dr at radius ris v = wr.
Emf induced across this segment is
dƐ=vB dr = wBr dr.

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