Engineering Electromagnetics 1 0909.301.01 Fall 2004

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Engineering Electromagnetics 10909.301.01 Fall
2004
Lecture 1bSeptember 8, 2004

• Shreekanth Mandayam
• ECE Department
• Rowan University
• http//engineering.rowan.edu/shreek/fall04/eemag1
  /

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EEMAG-1 Topics Today
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Plan

• Review of scalars and vectors
• Time- and space-varying
• Scalar and vector fields
• Time harmonic fields
• Phasors
• Complex vectors
• Review of Vector Analysis
• Dot and Cross products
• Gradient of a scalar field
• Divergence of a vector field
• Curl of a vector field

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Scalars Vectors
Fields
DEMOspactimscal
DEMOspactimvec
http//engineering.rowan.edu/shreek/fall04/eemag1
/tutorial.html
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Fields

• Field A space (and time) varying quantity
• Static field space varying only
• Time varying field space and time varying
• Scalar field Magnitude varies in space (and
  time)
• Vector field Magnitude direction varies in
  space (and time)

Moving Fields...
Electromagnetic waves
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Time Harmonic Fields

• Fields that vary periodically (sinusoidally) with
  time

Time Harmonic Scalar Fields
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Time Harmonic Vector Fields
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Vector Analysis Review

• Magnitude of a vector
• Position (or Radius) Vector
• Unit Vector in any direction

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Dot Product
Physical meaning?
DEMOvecalgebra
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Cross Product
Physical meaning?
DEMOvecalgebra
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Gradient of a Scalar Field
Physical meaning?
DEMOgrad
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Divergence of a Vector Field
Physical meaning?
DEMOdiv
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Curl of a Vector Field
Physical meaning?
DEMOcurl
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Recall Fields

• Field A space (and time) varying quantity
• Static field space varying only
• Time varying field space and time varying
• Scalar field Magnitude varies in space (and
  time)
• Vector field Magnitude direction varies in
  space (and time)

Moving Fields...
Electromagnetic waves
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Electromagnetic Fields
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Summary