Wave Impedance

A concept of high practical utility is that of *wave impedance*,
defined for vibrating strings as force divided by velocity. As
derived in §C.7.2, the relevant *force* quantity in this case
is minus the string tension times the string slope:

(7.4) |

Physically, this can be regarded as the transverse force

where we have defined the new notation for transverse velocity, and

where is the string tension and is mass density. The newly defined positive constant is called the

The wave impedance simply relates force and velocity traveling waves:

These relations may be called

The results of this section are derived in more detail in Appendix C. However, all we need in practice for now are the important Ohm's law relations for traveling-wave components given in Eq. (6.6).

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University