A square loop of wire has side length a, and rotates about the z-axis in a region where there is a constant uniform magnetic field B = Boеx. The unit normal n of the oriented area with the loop as its perimeter obeys n = cos(wt) ex+ sin(wt) ey, where w is a positive constant. Determine an expression for the time-dependent magnitude of the induced voltage in the loop.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter32: Faraday’s Law Of Induction
Section: Chapter Questions
Problem 23PQ: A square loop with side length L, mass M, and resistance R lies in the xy plane. A magnetic field B...
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A square loop of wire has side length a, and rotates about the z-axis in
a region where there is a constant uniform magnetic field B = B₁ еx.
The unit normal n of the oriented area with the loop as its perimeter
obeys
n = cos(wt) e + sin(wt) ey,
where w is a positive constant. Determine an expression for the
time-dependent magnitude of the induced voltage in the loop.
Transcribed Image Text:A square loop of wire has side length a, and rotates about the z-axis in a region where there is a constant uniform magnetic field B = B₁ еx. The unit normal n of the oriented area with the loop as its perimeter obeys n = cos(wt) e + sin(wt) ey, where w is a positive constant. Determine an expression for the time-dependent magnitude of the induced voltage in the loop.
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