Explain what is meant by the term displacement current. By considering Ampere's law and the magnetic field in the vicinity of a charging capacitor, show that there is a need to introduce the displacement current. Show that the displacement current is essential for the derivation of the propagation of electromagnetic waves by demonstrating that, in free space, the magnetic field, B, obeys the wave equation.
Explain what is meant by the term displacement current. By considering Ampere's law and the magnetic field in the vicinity of a charging capacitor, show that there is a need to introduce the displacement current. Show that the displacement current is essential for the derivation of the propagation of electromagnetic waves by demonstrating that, in free space, the magnetic field, B, obeys the wave equation.
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