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My current method

C.1 1 μF * 120 % * ± (* : μF 1.2 0.8 21 sys

L.1 1 μH * 15 % * ± (* : μH 1.05 0.95 21 sys

F.1 1 L.1 C.1 * sqrt / : kHz 890.8708 936.5858 1091.0895 1147.0787 41 sys

i 1 : i 4 ≤ i i 1 + : F.1M i 1 el F.1 i el : for

F.1Range F.1M max F.1M min + 2 / (F.1M max F.1M min - 2 / (± : kHz 1147.0787 890.8708 21 sys

Proposed Method

C.2 1 μF * :

Tol.C2 20 % * :

L.2 1 μH * :

Tol.L2 5 % * :

F.1 1 L.2 C.2 * sqrt / 1 Tol.C2 2^Tol.L2 2^+ sqrt ± (* : kHz 1206.1553 793.8447 21 sys

Error progagation Method

Measures and errors

C.2 1 μF * :

ΔC.2 20 % * C.2 * :

L.2 1 μH * :

ΔL.2 5 % * L.2 * :

Only for show

C.2 ΔC.2 ± μF 1.2 0.8 21 sys

L.2 ΔL.2 ± μH 1.05 0.95 21 sys

Propagation of errors: given the functional dependency z≡f(x,y) the error Δz is

Δz x y f x diff abs Δx * x y f y diff abs Δy * + ≡

In your case:

C L F 1 L C * sqrt / :

F.2 C.2 L.2 F : kHz 1000

ΔF.2 C.2 L.2 F C.2 diff abs ΔC.2 * C.2 L.2 F L.2 diff abs ΔL.2 * + : kHz 125

Finally

F.2 ΔF.2 ± kHz 112587521 sys

As percent of the value

Δ%F.2 ΔF.2 F.2 / : % 12.5

You can put that as procedures

X Err Δx 0.5 X 1 el X 2 el - (* : X 1 el Δx - Δx 12 mat 21 line :

1 f X Err x Δx 12 mat X Err : x f x diff abs Δx * 21 line :

2 f X Y Err x Δx 12 mat X Err : y Δy 12 mat Y Err : 12 mat x y f x diff abs Δx * x y f y diff abs Δy * + 21 line :

3 f X Y Z Err etc :

Then

ΔF.2 C L F C.2 ΔC.2 ± L.2 ΔL.2 ± Err : kHz 125

Alvaro