Critical damping is an important feature of
moving-coil meters which are used to measure current and voltage.
When the reading changes, it is of little use if the pointer
oscillates for a while or takes too long to settle down to the new
reading. The new reading must be taken quickly in case it changes
again.
again the model can be used to understand the effects of increasing levels of damping.
the picture shows no damping case b = 0
the picture shows heavy damping case b = 5.0