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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. Consider the following statements regarding field boundary conditions:
    1. The tangential component of electric field is continuous across the boundary between two dielectrics.
    2. The tangential component of electric field at a dielectric-conductor boundary is non-zero.
    3. The discontinuity in the normal component of the flux density at a dielectric-conductor boundary is equal to the surface charge density on the conductor.
    4. The normal component of the flux-density is continuous across the charge-free boundary between two dielectrics.
    Of these statements—
    1. 1, 2 and 3 are correct
    2. 2, 3 and 4 are correct
    3. 1, 2 and 4 are correct
    4. 1, 3 and 4 are correct
Correct Option: D

The tangential components of electric field at the boundary are discontinuous by the surface current density; the surface currents flow only in high conductivity media; therefore, statement-1 is correct. There is no tangential component of electric field at any conductor surface, only the radial component exists, therefore, statement-2 is wrong. The displacement flux densities normal components at the boundary are discontinuous by surface charge density at the boundary. Therefore, statements 3 and 4 are correct.



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