A square thin conductive loop has the side length a. The loop (one lap) rotates around the z axis with the angular velocity w. The loop rotates counterclockwise as you look along the z axis toward increasing z values. When time t = 0, the loop lies in the xz plane, so that all vertices have the same distance to the z-axis. At that moment the normal vector of the loop surface is n = y. The loop is in a constant magnetic field B = (Bx, By, Bz) Calculate the induced voltage in the loop as a function of the time.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.27P
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A square thin conductive loop has the side length a. The loop (one lap) rotates around the z axis with the angular velocity w.

The loop rotates counterclockwise as you look along the z axis toward increasing z values.

When time t = 0, the loop lies in the xz plane, so that all vertices have the same distance to the z-axis.

At that moment the normal vector of the loop surface is n = y. The loop is in a constant magnetic field B = (Bx, By, Bz)

Calculate the induced voltage in the loop as a function of the time.

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