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1. A cylindrical region of space has a magnetic field given by a magnetic field given by:
Scos(wt)î 0 <r < R
B (r, t) =
r > R
where y, B, and w are constants. Take r = 0 to be the central axis of the cylindrical region of space.
1. What is the magnitude of the induced electric field (as a function of time) in the region r < R?
2. What is the magnitude of the induced electric field (as a function of time) in the region r > R?

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