This chapter covers the phenomena associated with the displacement currentDisplacement current, which makes Ampere’s lawAmpere’s law applicable to the case of non-steady currentCurrent. The displacement currentDisplacement current is proved experimentally in various cases. The set of Maxwell’s equationsMaxwell’s equations is completed by introducing the displacement currentDisplacement current. The breaking of symmetry of Maxwell’s equationsMaxwell’s equations is discussed, based on the difference between a scalarScalar source (electric chargeElectric charge) and vectorVector source (currentCurrent), which give the irrotational electric fieldElectric field and the solenoidal magnetic flux densityMagnetic flux density, respectively. The electromagnetic fields are determined by the electric potentialElectric potential and the vector potentialVector potential, and the set of these potentials is called the electromagnetic potentialElectromagnetic potential. We introduce the Poynting vectorPoynting vector that describes the flow of electromagnetic energy.

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Displacement Current and Maxwell’s Equations

  • Teruo Matsushita

摘要

This chapter covers the phenomena associated with the displacement currentDisplacement current, which makes Ampere’s lawAmpere’s law applicable to the case of non-steady currentCurrent. The displacement currentDisplacement current is proved experimentally in various cases. The set of Maxwell’s equationsMaxwell’s equations is completed by introducing the displacement currentDisplacement current. The breaking of symmetry of Maxwell’s equationsMaxwell’s equations is discussed, based on the difference between a scalarScalar source (electric chargeElectric charge) and vectorVector source (currentCurrent), which give the irrotational electric fieldElectric field and the solenoidal magnetic flux densityMagnetic flux density, respectively. The electromagnetic fields are determined by the electric potentialElectric potential and the vector potentialVector potential, and the set of these potentials is called the electromagnetic potentialElectromagnetic potential. We introduce the Poynting vectorPoynting vector that describes the flow of electromagnetic energy.