Final answer:
The Fourier integral method can be used to model several electromagnetic properties, such as the time-dependent behavior of the electric field and the magnetic field strength, as well as the rate at which electromagnetic field energy enters a specified region by analyzing the Poynting vector and induced emf.
Step-by-step explanation:
When utilizing the Fourier integral method to investigate the decay of a current sheet and understanding its effect on the magnetic field (magnetic field), several electromagnetic properties come into play:
- Electric Field (E(t)): The time-dependent behavior of the electric field can be derived from Maxwell's equations, considering the contribution of the displacement current in relation to the changing magnetic field.
- Gravitational Forces: The direct impact on gravitational forces is generally negligible in electromagnetic problems unless considering general relativistic effects or large masses.
- Magnetic Field Strength (B(t)): Through the displacement current mentioned in Maxwell's equations, we can also obtain an expression for how the magnetic field varies over time.
- Thermal Conductivity: Changes in thermal conductivity are more related to material properties than to magnetic fields and electric currents unless considering how eddy currents generated may affect thermal properties.
By analyzing the Poynting vector at the edge of the region between plates, one can determine the rate at which electromagnetic field energy enters this region, as well as the associated changes in flux and induced electromotive force (emf).