Intrinsic Impedance

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The intrinsic impedance is a property of a medium - an area of space. For a vacuum (outer space) or for wave propagation through the air around earth (often called 'free space'), the intrinsic impedance (often written as characteristic or intrinsic impedance of free space or Z) is given by:

characteristic or intrinsic impedance of free space =intrinsic impedance of free space

This parameter is the ratio of the magnitude of the E-field to the magnitude of the H-field for a plane wave in a lossless medium (zero conductivity):

wave impedance

This relation can be derived directly from Maxwell's Equations. For a general medium with permittivity and permeability given by permittivity permeability, the intrinsic impedance is given by:

intrinsic impedance

For a medium with a conductivity conductivity associated with it, the intrinsic impedance is given by:

intrinsic impedance with loss or conductivity

When the conductivity is non-zero, the above intrinsic impedance is a complex number, indicating that the electric and magnetic fields are not in-phase.

The intrinsic impedance of free-space has nothing to do with the electrical impedance of an antenna. Also, there is no reason to have the impedance of an antenna match the intrinsic impedance of free space (no mismatch loss occurs).

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