Inductance: Loop and Partial Kindle Edition

4.5 out of 5 stars 2 customer reviews
ISBN-13: 978-0470561232
ISBN-10: 0470561238
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About the Author

Clayton R. Paul received his PhD in electrical engineering from Purdue University. He is the Sam Nunn Eminent Professor of Electrical and Computer Engineering at Mercer University in Macon, Georgia. Dr. Paul is also Emeritus (retired with distinction after 27 years on the faculty) Professor of Electrical Engineering at the University of Kentucky. He is the author of 15 textbooks on electrical engineering subjects and has published over 200 technical papers, the majority of which are in his primary research area of the electromagnetic compatibility (EMC) of electronic systems. Dr. Paul is a Life Fellow member of the Institute of Electrical and Electronics Engineers (IEEE) and an Honorary Life Member of the IEEE EMC Society. He received the prestigious 2005 IEEE Electromagnetics Award and the 2007 IEEE Undergraduate Teaching Award.

Product Details

  • File Size: 10051 KB
  • Print Length: 220 pages
  • Publisher: Wiley-IEEE Press; 1 edition (September 20, 2011)
  • Publication Date: September 20, 2011
  • Sold by: Amazon Digital Services LLC
  • Language: English
  • ASIN: B005OZQU9G
  • Text-to-Speech: Enabled
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  • Enhanced Typesetting: Not Enabled
  • Amazon Best Sellers Rank: #2,600,116 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
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Format: Hardcover Verified Purchase
To motivate this review, a simplified physical model is in order. We'll do an AC generator. We start with a circular wire loop with some finite electrical resistance. We allow it to rotate about a diameter in a steady state (no variation with time) uniform magnetic field (B lines straight and parallel) at a constant slow angular velocity. With respect to the reference frame of the loop (circle lies in x'y' plane say and centered at its origin), the B field is no longer steady state. To see the variation, consider one point and its associated B vector in the initial non-loop xyz frame. As the loop rotates, it sees the B vector rotate in the exact opposite sense. A rotation matrix then depending on the product of angular velocity and time would be applied to this B vector in the loop frame to predict its direction. The position of our chosen point also varies in the loop frame, but this point must always map to its original xyz coordinates since the B vector in original direction and magnitude is defined by these values. This means the x'y'z'coordinates of the new B field make their appearance by applying the inverse rotation matrix to the x'y'z' coordinates (original xyz) and substituting these functions of x'y'z' for the xyz coordinates. After these two operations the new B field is entirely in loop frame coordinates. Flux is now easily calculated. Set z'=0 in the new B field (plane of the loop) and integrate this over the area of the circle in the x'y' plane (got the flux). Take minus the time derivative of this flux (Faraday's Law). Got the voltage in the loop! Here's the wall! We need the self inductance of the loop to calculate the current.Read more ›
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Format: Hardcover
This is a clear and well written book, and it is the best explanation I've seen on partial inductance. It should be of interest to engineers/researchers focused on modeling of stray inductances. Grover's book is more useful to most practicing engineers (and much cheaper).
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