#### Simplified Impedance Analysis

The above results are quickly derived from the general reflection-coefficient for force waves (or voltage waves, pressure waves, etc.):

where is the reflection coefficient of impedance as ``seen'' from impedance . If a force wave traveling along in impedance suddenly hits a new impedance , the wave will split into a reflected wave , and a transmitted wave . It therefore follows that a velocity wave will split into a reflected wave and transmitted wave . This rule is derived in §C.8.4 (and implicitly above as well).

In the mass-string-collision problem, we can immediately write down
the *force reflectance* of the mass as seen from either string:

Since, by the Ohm's-law relations,

*velocity reflectance*is simply

**Next Section:**

Mass Transmittance from String to String

**Previous Section:**

Mass Reflectance from Either String