Table 1 Comparison of theoretical simulation results with given component error tolerances against experimental results.

From: Anomalous fractal scaling in two-dimensional electric networks

 

Sim. with C = 4.7 nF ± 1%, L = 1 mH ± 5%

Sim. with C = 4.7 nF, L = 1 mH

Exp.

Error

 

Range of f0 (kHz)

Range of Z (kΩ)

f0 (kHz)

Z (kΩ)

f0 (kHz)

Z (kΩ)

f0

Z

3

123.4–131.0

3.9–4.2

127.0

4.06

130.2

4.01

2.52%

−1.23%

4

131.7–139.8

7.6–8.2

135.6

7.96

139.4

7.59

2.80%

−4.65%

5

135.5–144.0

9.9–10.7

139.6

10.32

144.0

9.31

3.15%

−9.79%

6

236.8–251.4

1.8–1.9

243.8

1.86

250.4

1.95

2.71%

4.84%

7

248.9–264.2

2.4–2.6

256.3

2.48

263.8

2.62

2.93%

5.65%

  1. The given inductive (L) and capacitive (C) components are rated at L = 1 mH ± 5% and C = 4.7 nF ± 1%. Z and f0 are the peak impedance and the frequency at which it occurs. The experimentally measured (exp.) values are indeed within the theoretically predicted ranges (sim.) corresponding to the error tolerances. The full exp. and sim. impedance curves are given in Fig. 9.
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