HP 54710A User's Reference Manual page 41

How the Oscilloscope Works
Choosing Probes
Perhaps you have connected an oscilloscope to a circuit for troubleshooting
only to have the circuit operate correctly after connecting the probes. The
capacitive loading of the probes can attenuate a glitch, remove ringing or
overshoot, or slow an edge just enough that a setup or hold time violation no
longer occurs.
The inductance of the probe ground lead forms an LC circuit with the probe's
capacitance and the output capacitance of the circuit under test, including
any parasitic capacitance of PC board traces, and so on. The ringing
frequency of this circuit is:
1
F =
2 π √   LC
If the rise time of the signal is sufficient to stimulate this ringing, then it can
appear as part of the captured signal. An approximation of the bandwidth of
the signal is:
0.35
Signal Bandwidth =
Signal Rise Time
To calculate the ringing frequency, you can assume that the probe ground
wire has an inductance of approximately 25 nH per inch. So, a probe with a
tip capacitance of 8 pF and a 4-inch ground wire has a ringing frequency of
approximately 178 MHz (not considering the circuit capacitance). Here, a
signal with a rise time of less than 1.9 ns can stimulate ringing.
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