I've tried both ways, and maybe it justtakes Mathematica a long time to solve this system of equations, but I can't tell if it is hung up or crunching. So, I'm wondering im y approach with mathematica is wrong in the first place:
eq1=(0.0000472222 C1 R1)/(1. C1^2 R1^2 + C2 (0.0051 + (0.0000472222 + 108. C1) R1 + 1. C1 R1^2)) <= \[Pi]/4
eq2=(14.0028 C1 R1 Sqrt[C1 R1 + C2 (108 + R1)] (C1 R1 (1.35525*10^-20 + 1. C1 R1) + C2 (0.0051 + (0.0000472222 + 108. C1) R1 + 1. C1 R1^2)))/(Sqrt[C1 C2 R1] (1. C1^2 R1^2 + C2 (0.0051 + (0.0000472222 + 108. C1) R1 + 1. C1 R1^2))) >= 60
eq3= (2.22861 Sqrt[C1 R1 + C2 (108 + R1)])/Sqrt[C1 C2 R1] >= 220000
I've tried
Reduce[{eq3, eq4, eq5, R1 > 0, C1 > 0, C2 > 0, C1 > C2}, {C1, C2, R1}, Reals]
and
Solve[eq3 && eq4 && eq5 && R1 > 0 && C1 > 0 && C2 > 0 && C1 > C2, {C1, C2, R1}, Reals]
but it's either not working, or just taking a lot longer than I expect it to (and I should just let it run longer)
Is there a way for me to know if it is crunching or hung up? Is there a better way to solve this system in Mathematica? Should I be constraining the possible values of R1, C1, and C2 better or more?
Thanks for the help
FindInstance
finds any solution $\endgroup$