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Quantum EngineeringYear 0: Mathematical FoundationsMonth 8Day 215

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Year 0·Month 8·Week 3

Day 215: Energy, Momentum, and the Poynting Vector

Day 215 of 2,016~18 min read

Learning Objectives

  • •**Calculate energy density** stored in electric and magnetic fields
  • •**Apply the Poynting vector** to determine electromagnetic energy flow
  • •**Derive the Poynting theorem** (conservation of electromagnetic energy)
  • •**Calculate momentum density** and radiation pressure
  • •**Analyze practical applications** of radiation pressure (solar sails, optical tweezers)
  • •**Connect classical EM energy** to photon energy and quantum fluctuations

Today's Schedule (7 hours)

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On this page

1 Energy Stored in Electric Fields2 Energy Stored in Magnetic Fields3 Total Electromagnetic Energy Density4 The Poynting Vector5 Intensity and Time-Average6 The Poynting Theorem Energy Conservation7 Momentum of Electromagnetic Fields8 Radiation Pressure9 Angular Momentum of LightQuantum Mechanics ConnectionPhoton Energy and the Poynting VectorQuantum Fluctuations of EnergyPhoton Number FluctuationsSingle Photon Energy
Day 214Day 215 of 2,016Day 216