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The snubber circuit is not only used in motor driver applications but is also used in a lot of switching regulator circuits. As a result, there are a lot of resources that have covered this subject.
For an introduction, the RC snubber consists of a resistor and capacitor connected in series from the switch node to a constant voltage reference, such as a GND connection. For a motor drive circuit, place an RC snubber between the phase node and the high-side drain of the FET, and between the phase node and the low-side source of the FET shown in Figure 4-3.
They are most effective reducing phase oscillations, or voltage ringing across each MOSFET. They reduce the initial spike at a node and provide a dampening factor to reduce the number of ringing cycles.
However, the values of RC must be tuned for the parasitics of a particular system. Unless the parasitics can be modeled, the R and C values are chosen experimentally. Luckily, there are many resources explaining how to calculate them, such as the E2E FAQ for Proper RC Snubber Design for Motor Drivers as an example.
In summary: