Electrical Engineering › Section Y · Time-varying fields, Maxwell's equations, and plane waves › Topic Y.6

Maxwell's equations in differential phasor form

Four equations describe every classical electric and magnetic effect, from a capacitor's charge to a radio wave. Written with phasors, their time derivatives become multiplication by jω, which is the same simplification that made ac circuit analysis possible.

In this topic

  • Four laws, one system
  • The integral form
  • The differential form
  • The material relations
  • Phasors for fields
  • Time derivatives become jω
  • Worked example: from phasor to field
  • Worked example: current in seawater
  • Common mistakes to avoid
  • Key takeaways

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