Displacement Current and Maxwell’s Equations

  • Teruo Matsushita
Part of the Undergraduate Lecture Notes in Physics book series (ULNP)


In a steady state, Ampere’s law, Eq. (9.14), holds for a closed line, C, with different surfaces on it, S1 and S2, as shown in Fig. 11.1a, b. If the magnetic field \(\boldsymbol{H}\) is integrated on C in opposite directions as drawn in Fig. 11.1a, b, the sum of the two integrations is naturally zero. At the same time, the sum of the surface integrals of the current density \(\boldsymbol{i}\) on S1 and S2 is also zero. This sum becomes the surface integral on closed surface S12 composed of S1 and S2 (see Fig. 11.1c). Thus, we have


Electric Charge Energy Flow Alternate Current Poynting Vector Flux Line 
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© Springer Japan 2014

Authors and Affiliations

  • Teruo Matsushita
    • 1
  1. 1.Department of Computer Science & ElectronicsKyushu Institute of TechnologyIizukaJapan

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