Help with RLC Circuit Oscilloscope Probe - Calculating Voltage Spike

[likephysics]

I am trying to model an oscilloscope probe(active probe).

The voltage source in the circuit is from the device under measurement.
Let's say a 100MHz clock.
The probe signal and ground lead inductance are represented by 2 inductors, then a small series resistor. I made up the value of the series resistor.
The input capacitance is 1pF and resistance is 1M.

How do I calculate the voltage spike (overshoot) caused because of the inductance?

Another question - when the signal rises from 0 to 5v, the inductor L1 opposes the change. When the current reaches L2, does L2 also oppose the change?

 

[likephysics]

Anybody?

 

[Carl Pugh]

R1 is 2.00M, if it is left out there would be very little effect on the circuit.

With R1 removed, this is a simple series circuit and should be easy to analyize.

Bob Pease of National Semiconductor wrote an article about using a 50 ohm (or maybe it was 75 ohm) resistor and coax as a probe for an oscilloscope. He had better results than using an active probe.
If you are unable to locate the article with Google, I will check to see if I have it on file.

"Another question - when the signal rises from 0 to 5v, the inductor L1 opposes the change. When the current reaches L2, does L2 also oppose the change? "
The two inductors are in series, so the current goes through them at the same time.

Good Luck
Carl