For most people, reading about Smith Charts Problems will make your head hurt, including mine.
Wikipedia has a very intense page on Smith Charts, with several examples and the supporting math.
After reading and agonizing over Wikipedia's solution to their 100mHz "lumped element circuit" example, I decided to try to solve the same problem with SimSmith.
The task became trivial.
The SimSmith Solution:
---Cut, Save, Load into SimSmith----------------
LOAD R:50.0 X:0.0 load:
SERIES_CAP Fd:40p Q:1.0K @MHz:0.0
SHUNT_IND Hn:53n Q:1.0K @MHz:0.0
SERIES_CAP Fd:138p Q:1.0K @MHz:0.0
SHUNT_CAP Fd:36p Q:1.0K @MHz:0.0
GENERATOR MHz:100.0 R:50.0 X:0.0
CONTROLLER lower__Scan__Freq:50 upper__Scan__Freq:250 #__of__Segments:500.0 SWR__R:50.0 SWR__X:0.0 SWR:1.0
---End---------------
UPDATE
For us Hams, the above solution would not be optimal for a Transmitter Output Tank Circuit, it lacks Second Harmonic Suppression. With the addition of a Low Q Trap, the following solution provides additional 16db of second harmonic rejection.
As shown here, the dotted cursor set at 200mHz, read the results below the graph.
But then, of course 100Mhz is not a Ham Frequency :-)
---Cut, Save, Load into SimSmith----------------
OAD R:50.0 X:0.0 load:
SERIES_CAP Fd:44p Q:1.0K @MHz:0.0
SHUNT_IND Hn:68n Q:1.0K @MHz:0.0
SERIES_CAP Fd:194p Q:1.0K @MHz:0.0
SHUNT_CAP Fd:36p Q:1.0K @MHz:0.0
SERIES_PARALLEL_TRAP Fd:20p Hn:31n Q:10 @MHz:0.0
GENERATOR MHz:100.0 R:50.0 X:0.0
CONTROLLER lower__Scan__Freq:50 upper__Scan__Freq:250 #__of__Segments:500.0 SWR__R:50.0 SWR__X:0.0 SWR:1.0
---End---------------
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