James Clerk Maxwell And Modern Physics

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In this space, however, the electric displacement is continuously changing, rising from zero initially to its final steady value when the current ceases. It is a fundamental part of Maxwell's theory that this variation of electric 184 JAMES CLEUK MAXWELL displacement is equivalent in all respects to a current. The current at any point in a dielectric is measured by the rate of change of displacement at that point. Moreover, it is also an essential point that if we consider any section of the di...electric between the two plates, the rate of change of the total displacement across this section is at each moment equal to the total How of current across each section of the con- ducting wire. Currents of electricity, therefore, including dis- placement currents, always How in closed circuits, and obey the laws of an incompressible fluid in that the total flow across each section of the circuit conducting or dielectric is at any moment the same. It should be clearly remembered that this funda- mental hypothesis of Maxwell's theory is an assump- tion only to be justified by experiment.

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