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0-20mA square root extraction to linear 0-100% scale conversion table

How do you convert a square root extraction 0-20mA analog signal to a linear 0-100% scale?

The conversion formula for transforming a 0 to 20 milliamp square root extraction output signal to a linear percentage of full span pressure measurement is as follows:

[Linear Reading %FS] = ([Sq Rt Output (mA)])² x 0.25

The following table shows the conversion from the non-linear square root extraction 0to20mA output signal in 0.01 mA increments to the equivalent linear pressure output expressed as a percentage of full scale (%FS):

Sq Rt (mA) Linear % FS
0.00 0.00000
0.01 0.00003
0.02 0.00010
0.03 0.00023
0.04 0.00040
0.05 0.00063
0.06 0.00090
0.07 0.00123
0.08 0.00160
0.09 0.00203
0.10 0.00250
0.11 0.00303
0.12 0.00360
0.13 0.00423
0.14 0.00490
0.15 0.00563
0.16 0.00640
0.17 0.00723
0.18 0.00810
0.19 0.00903
0.20 0.01000
0.21 0.01103
0.22 0.01210
0.23 0.01323
0.24 0.01440
0.25 0.01563
0.26 0.01690
0.27 0.01823
0.28 0.01960
0.29 0.02103
0.30 0.02250
0.31 0.02403
0.32 0.02560
0.33 0.02723
0.34 0.02890
0.35 0.03063
0.36 0.03240
0.37 0.03423
0.38 0.03610
0.39 0.03803
0.40 0.04000
0.41 0.04203
0.42 0.04410
0.43 0.04623
0.44 0.04840
0.45 0.05063
0.46 0.05290
0.47 0.05523
0.48 0.05760
0.49 0.06003
0.50 0.06250
0.51 0.06503
0.52 0.06760
0.53 0.07023
0.54 0.07290
0.55 0.07563
0.56 0.07840
0.57 0.08123
0.58 0.08410
0.59 0.08703
0.60 0.09000
0.61 0.09303
0.62 0.09610
0.63 0.09923
0.64 0.10240
0.65 0.10563
0.66 0.10890
0.67 0.11223
0.68 0.11560
0.69 0.11903
0.70 0.12250
0.71 0.12603
0.72 0.12960
0.73 0.13323
0.74 0.13690
0.75 0.14063
0.76 0.14440
0.77 0.14823
0.78 0.15210
0.79 0.15603
0.80 0.16000
0.81 0.16403
0.82 0.16810
0.83 0.17223
0.84 0.17640
0.85 0.18063
0.86 0.18490
0.87 0.18923
0.88 0.19360
0.89 0.19803
0.90 0.20250
0.91 0.20703
0.92 0.21160
0.93 0.21623
0.94 0.22090
0.95 0.22563
0.96 0.23040
0.97 0.23523
0.98 0.24010
0.99 0.24503
1.00 0.25000
1.01 0.25503
1.02 0.26010
1.03 0.26523
1.04 0.27040
1.05 0.27563
1.06 0.28090
1.07 0.28623
1.08 0.29160
1.09 0.29703
1.10 0.30250
1.11 0.30803
1.12 0.31360
1.13 0.31923
1.14 0.32490
1.15 0.33063
1.16 0.33640
1.17 0.34223
1.18 0.34810
1.19 0.35403
1.20 0.36000
1.21 0.36603
1.22 0.37210
1.23 0.37823
1.24 0.38440
1.25 0.39063
1.26 0.39690
1.27 0.40323
1.28 0.40960
1.29 0.41603
1.30 0.42250
1.31 0.42903
1.32 0.43560
1.33 0.44223
1.34 0.44890
1.35 0.45563
1.36 0.46240
1.37 0.46923
1.38 0.47610
1.39 0.48303
1.40 0.49000
1.41 0.49703
1.42 0.50410
1.43 0.51123
1.44 0.51840
1.45 0.52563
1.46 0.53290
1.47 0.54023
1.48 0.54760
1.49 0.55503
1.50 0.56250
1.51 0.57003
1.52 0.57760
1.53 0.58523
1.54 0.59290
1.55 0.60063
1.56 0.60840
1.57 0.61623
1.58 0.62410
1.59 0.63203
1.60 0.64000
1.61 0.64803
1.62 0.65610
1.63 0.66423
1.64 0.67240
1.65 0.68063
1.66 0.68890
1.67 0.69723
1.68 0.70560
1.69 0.71403
1.70 0.72250
1.71 0.73103
1.72 0.73960
1.73 0.74823
1.74 0.75690
1.75 0.76563
1.76 0.77440
1.77 0.78323
1.78 0.79210
1.79 0.80103
1.80 0.81000
1.81 0.81903
1.82 0.82810
1.83 0.83723
1.84 0.84640
1.85 0.85563
1.86 0.86490
1.87 0.87423
1.88 0.88360
1.89 0.89303
1.90 0.90250
1.91 0.91203
1.92 0.92160
1.93 0.93123
1.94 0.94090
1.95 0.95063
1.96 0.96040
1.97 0.97023
1.98 0.98010
1.99 0.99003
2.00 1.00000
2.01 1.01003
2.02 1.02010
2.03 1.03023
2.04 1.04040
2.05 1.05063
2.06 1.06090
2.07 1.07123
2.08 1.08160
2.09 1.09203
2.10 1.10250
2.11 1.11303
2.12 1.12360
2.13 1.13423
2.14 1.14490
2.15 1.15563
2.16 1.16640
2.17 1.17723
2.18 1.18810
2.19 1.19903
2.20 1.21000
2.21 1.22103
2.22 1.23210
2.23 1.24323
2.24 1.25440
2.25 1.26563
2.26 1.27690
2.27 1.28823
2.28 1.29960
2.29 1.31103
2.30 1.32250
2.31 1.33403
2.32 1.34560
2.33 1.35723
2.34 1.36890
2.35 1.38063
2.36 1.39240
2.37 1.40423
2.38 1.41610
2.39 1.42803
2.40 1.44000
2.41 1.45203
2.42 1.46410
2.43 1.47622
2.44 1.48840
2.45 1.50062
2.46 1.51290
2.47 1.52522
2.48 1.53760
2.49 1.55002
2.50 1.56250
2.51 1.57502
2.52 1.58760
2.53 1.60022
2.54 1.61290
2.55 1.62562
2.56 1.63840
2.57 1.65122
2.58 1.66410
2.59 1.67702
2.60 1.69000
2.61 1.70302
2.62 1.71610
2.63 1.72922
2.64 1.74240
2.65 1.75562
2.66 1.76890
2.67 1.78222
2.68 1.79560
2.69 1.80902
2.70 1.82250
2.71 1.83602
2.72 1.84960
2.73 1.86322
2.74 1.87690
2.75 1.89062
2.76 1.90440
2.77 1.91822
2.78 1.93210
2.79 1.94602
2.80 1.96000
2.81 1.97402
2.82 1.98810
2.83 2.00222
2.84 2.01640
2.85 2.03062
2.86 2.04490
2.87 2.05922
2.88 2.07360
2.89 2.08802
2.90 2.10250
2.91 2.11702
2.92 2.13160
2.93 2.14622
2.94 2.16090
2.95 2.17562
2.96 2.19040
2.97 2.20522
2.98 2.22010
2.99 2.23502
3.00 2.25000
3.01 2.26502
3.02 2.28010
3.03 2.29522
3.04 2.31040
3.05 2.32562
3.06 2.34090
3.07 2.35622
3.08 2.37160
3.09 2.38702
3.10 2.40250
3.11 2.41802
3.12 2.43360
3.13 2.44922
3.14 2.46490
3.15 2.48062
3.16 2.49640
3.17 2.51222
3.18 2.52810
3.19 2.54402
3.20 2.56000
3.21 2.57602
3.22 2.59210
3.23 2.60822
3.24 2.62440
3.25 2.64062
3.26 2.65690
3.27 2.67322
3.28 2.68960
3.29 2.70602
3.30 2.72250
3.31 2.73902
3.32 2.75560
3.33 2.77222
3.34 2.78890
3.35 2.80562
3.36 2.82240
3.37 2.83922
3.38 2.85610
3.39 2.87302
3.40 2.89000
3.41 2.90702
3.42 2.92410
3.43 2.94122
3.44 2.95840
3.45 2.97562
3.46 2.99290
3.47 3.01022
3.48 3.02760
3.49 3.04502
3.50 3.06250
3.51 3.08002
3.52 3.09760
3.53 3.11522
3.54 3.13290
3.55 3.15062
3.56 3.16840
3.57 3.18622
3.58 3.20410
3.59 3.22202
3.60 3.24000
3.61 3.25802
3.62 3.27610
3.63 3.29422
3.64 3.31240
3.65 3.33062
3.66 3.34890
3.67 3.36722
3.68 3.38560
3.69 3.40402
3.70 3.42250
3.71 3.44102
3.72 3.45960
3.73 3.47822
3.74 3.49690
3.75 3.51562
3.76 3.53440
3.77 3.55322
3.78 3.57210
3.79 3.59102
3.80 3.61000
3.81 3.62902
3.82 3.64810
3.83 3.66722
3.84 3.68640
3.85 3.70562
3.86 3.72490
3.87 3.74422
3.88 3.76360
3.89 3.78302
3.90 3.80250
3.91 3.82202
3.92 3.84160
3.93 3.86122
3.94 3.88090
3.95 3.90062
3.96 3.92040
3.97 3.94022
3.98 3.96010
3.99 3.98002
4.00 4.00000
4.01 4.02002
4.02 4.04010
4.03 4.06022
4.04 4.08040
4.05 4.10062
4.06 4.12090
4.07 4.14122
4.08 4.16160
4.09 4.18202
4.10 4.20250
4.11 4.22302
4.12 4.24360
4.13 4.26422
4.14 4.28490
4.15 4.30562
4.16 4.32640
4.17 4.34722
4.18 4.36810
4.19 4.38902
4.20 4.41000
4.21 4.43102
4.22 4.45210
4.23 4.47322
4.24 4.49440
4.25 4.51562
4.26 4.53690
4.27 4.55822
4.28 4.57960
4.29 4.60102
4.30 4.62250
4.31 4.64402
4.32 4.66560
4.33 4.68722
4.34 4.70890
4.35 4.73062
4.36 4.75240
4.37 4.77422
4.38 4.79610
4.39 4.81802
4.40 4.84000
4.41 4.86202
4.42 4.88410
4.43 4.90622
4.44 4.92840
4.45 4.95062
4.46 4.97290
4.47 4.99522
4.48 5.01760
4.49 5.04002
4.50 5.06250
4.51 5.08502
4.52 5.10760
4.53 5.13022
4.54 5.15290
4.55 5.17562
4.56 5.19840
4.57 5.22122
4.58 5.24410
4.59 5.26702
4.60 5.29000
4.61 5.31302
4.62 5.33610
4.63 5.35922
4.64 5.38240
4.65 5.40562
4.66 5.42890
4.67 5.45222
4.68 5.47560
4.69 5.49902
4.70 5.52250
4.71 5.54602
4.72 5.56960
4.73 5.59322
4.74 5.61690
4.75 5.64062
4.76 5.66440
4.77 5.68822
4.78 5.71210
4.79 5.73602
4.80 5.76000
4.81 5.78402
4.82 5.80810
4.83 5.83222
4.84 5.85640
4.85 5.88062
4.86 5.90490
4.87 5.92922
4.88 5.95360
4.89 5.97802
4.90 6.00250
4.91 6.02702
4.92 6.05160
4.93 6.07622
4.94 6.10090
4.95 6.12562
4.96 6.15040
4.97 6.17522
4.98 6.20010
4.99 6.22502
5.00 6.25000
5.01 6.27502
5.02 6.30010
5.03 6.32522
5.04 6.35040
5.05 6.37562
5.06 6.40090
5.07 6.42622
5.08 6.45160
5.09 6.47702
5.10 6.50250
5.11 6.52802
5.12 6.55360
5.13 6.57922
5.14 6.60490
5.15 6.63062
5.16 6.65640
5.17 6.68222
5.18 6.70810
5.19 6.73402
5.20 6.76000
5.21 6.78602
5.22 6.81210
5.23 6.83822
5.24 6.86440
5.25 6.89062
5.26 6.91690
5.27 6.94322
5.28 6.96960
5.29 6.99602
5.30 7.02250
5.31 7.04902
5.32 7.07560
5.33 7.10222
5.34 7.12890
5.35 7.15562
5.36 7.18240
5.37 7.20922
5.38 7.23610
5.39 7.26302
5.40 7.29000
5.41 7.31702
5.42 7.34410
5.43 7.37122
5.44 7.39840
5.45 7.42562
5.46 7.45290
5.47 7.48022
5.48 7.50760
5.49 7.53502
5.50 7.56250
5.51 7.59002
5.52 7.61760
5.53 7.64522
5.54 7.67290
5.55 7.70062
5.56 7.72840
5.57 7.75622
5.58 7.78410
5.59 7.81202
5.60 7.84000
5.61 7.86802
5.62 7.89610
5.63 7.92422
5.64 7.95240
5.65 7.98062
5.66 8.00890
5.67 8.03722
5.68 8.06560
5.69 8.09402
5.70 8.12250
5.71 8.15102
5.72 8.17960
5.73 8.20822
5.74 8.23690
5.75 8.26562
5.76 8.29440
5.77 8.32322
5.78 8.35210
5.79 8.38102
5.80 8.41000
5.81 8.43902
5.82 8.46810
5.83 8.49722
5.84 8.52640
5.85 8.55562
5.86 8.58490
5.87 8.61422
5.88 8.64360
5.89 8.67302
5.90 8.70250
5.91 8.73202
5.92 8.76160
5.93 8.79122
5.94 8.82090
5.95 8.85062
5.96 8.88040
5.97 8.91022
5.98 8.94010
5.99 8.97002
6.00 9.00000
6.01 9.03002
6.02 9.06010
6.03 9.09022
6.04 9.12040
6.05 9.15062
6.06 9.18090
6.07 9.21122
6.08 9.24160
6.09 9.27202
6.10 9.30250
6.11 9.33302
6.12 9.36360
6.13 9.39422
6.14 9.42490
6.15 9.45562
6.16 9.48640
6.17 9.51722
6.18 9.54810
6.19 9.57902
6.20 9.61000
6.21 9.64102
6.22 9.67210
6.23 9.70322
6.24 9.73440
6.25 9.76562
6.26 9.79690
6.27 9.82822
6.28 9.85960
6.29 9.89102
6.30 9.92250
6.31 9.95402
6.32 9.98560
6.33 10.0172
6.34 10.0489
6.35 10.0806
6.36 10.1124
6.37 10.1442
6.38 10.1761
6.39 10.2080
6.40 10.2400
6.41 10.2720
6.42 10.3041
6.43 10.3362
6.44 10.3684
6.45 10.4006
6.46 10.4329
6.47 10.4652
6.48 10.4976
6.49 10.5300
6.50 10.5625
6.51 10.5950
6.52 10.6276
6.53 10.6602
6.54 10.6929
6.55 10.7256
6.56 10.7584
6.57 10.7912
6.58 10.8241
6.59 10.8570
6.60 10.8900
6.61 10.9230
6.62 10.9561
6.63 10.9892
6.64 11.0224
6.65 11.0556
6.66 11.0889
6.67 11.1222
6.68 11.1556
6.69 11.1890
6.70 11.2225
6.71 11.2560
6.72 11.2896
6.73 11.3232
6.74 11.3569
6.75 11.3906
6.76 11.4244
6.77 11.4582
6.78 11.4921
6.79 11.5260
6.80 11.5600
6.81 11.5940
6.82 11.6281
6.83 11.6622
6.84 11.6964
6.85 11.7306
6.86 11.7649
6.87 11.7992
6.88 11.8336
6.89 11.8680
6.90 11.9025
6.91 11.9370
6.92 11.9716
6.93 12.0062
6.94 12.0409
6.95 12.0756
6.96 12.1104
6.97 12.1452
6.98 12.1801
6.99 12.2150
7.00 12.2500
7.01 12.2850
7.02 12.3201
7.03 12.3552
7.04 12.3904
7.05 12.4256
7.06 12.4609
7.07 12.4962
7.08 12.5316
7.09 12.5670
7.10 12.6025
7.11 12.6380
7.12 12.6736
7.13 12.7092
7.14 12.7449
7.15 12.7806
7.16 12.8164
7.17 12.8522
7.18 12.8881
7.19 12.9240
7.20 12.9600
7.21 12.9960
7.22 13.0321
7.23 13.0682
7.24 13.1044
7.25 13.1406
7.26 13.1769
7.27 13.2132
7.28 13.2496
7.29 13.2860
7.30 13.3225
7.31 13.3590
7.32 13.3956
7.33 13.4322
7.34 13.4689
7.35 13.5056
7.36 13.5424
7.37 13.5792
7.38 13.6161
7.39 13.6530
7.40 13.6900
7.41 13.7270
7.42 13.7641
7.43 13.8012
7.44 13.8384
7.45 13.8756
7.46 13.9129
7.47 13.9502
7.48 13.9876
7.49 14.0250
7.50 14.0625
7.51 14.1000
7.52 14.1376
7.53 14.1752
7.54 14.2129
7.55 14.2506
7.56 14.2884
7.57 14.3262
7.58 14.3641
7.59 14.4020
7.60 14.4400
7.61 14.4780
7.62 14.5161
7.63 14.5542
7.64 14.5924
7.65 14.6306
7.66 14.6689
7.67 14.7072
7.68 14.7456
7.69 14.7840
7.70 14.8225
7.71 14.8610
7.72 14.8996
7.73 14.9382
7.74 14.9769
7.75 15.0156
7.76 15.0544
7.77 15.0932
7.78 15.1321
7.79 15.1710
7.80 15.2100
7.81 15.2490
7.82 15.2881
7.83 15.3272
7.84 15.3664
7.85 15.4056
7.86 15.4449
7.87 15.4842
7.88 15.5236
7.89 15.5630
7.90 15.6025
7.91 15.6420
7.92 15.6816
7.93 15.7212
7.94 15.7609
7.95 15.8006
7.96 15.8404
7.97 15.8802
7.98 15.9201
7.99 15.9600
8.00 16.0000
8.01 16.0400
8.02 16.0801
8.03 16.1202
8.04 16.1604
8.05 16.2006
8.06 16.2409
8.07 16.2812
8.08 16.3216
8.09 16.3620
8.10 16.4025
8.11 16.4430
8.12 16.4836
8.13 16.5242
8.14 16.5649
8.15 16.6056
8.16 16.6464
8.17 16.6872
8.18 16.7281
8.19 16.7690
8.20 16.8100
8.21 16.8510
8.22 16.8921
8.23 16.9332
8.24 16.9744
8.25 17.0156
8.26 17.0569
8.27 17.0982
8.28 17.1396
8.29 17.1810
8.30 17.2225
8.31 17.2640
8.32 17.3056
8.33 17.3472
8.34 17.3889
8.35 17.4306
8.36 17.4724
8.37 17.5142
8.38 17.5561
8.39 17.5980
8.40 17.6400
8.41 17.6820
8.42 17.7241
8.43 17.7662
8.44 17.8084
8.45 17.8506
8.46 17.8929
8.47 17.9352
8.48 17.9776
8.49 18.0200
8.50 18.0625
8.51 18.1050
8.52 18.1476
8.53 18.1902
8.54 18.2329
8.55 18.2756
8.56 18.3184
8.57 18.3612
8.58 18.4041
8.59 18.4470
8.60 18.4900
8.61 18.5330
8.62 18.5761
8.63 18.6192
8.64 18.6624
8.65 18.7056
8.66 18.7489
8.67 18.7922
8.68 18.8356
8.69 18.8790
8.70 18.9225
8.71 18.9660
8.72 19.0096
8.73 19.0532
8.74 19.0969
8.75 19.1406
8.76 19.1844
8.77 19.2282
8.78 19.2721
8.79 19.3160
8.80 19.3600
8.81 19.4040
8.82 19.4481
8.83 19.4922
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17.93 80.3712
17.94 80.4609
17.95 80.5506
17.96 80.6404
17.97 80.7302
17.98 80.8201
17.99 80.9100
18.00 81.0000
18.01 81.0900
18.02 81.1801
18.03 81.2702
18.04 81.3604
18.05 81.4506
18.06 81.5409
18.07 81.6312
18.08 81.7216
18.09 81.8120
18.10 81.9025
18.11 81.9930
18.12 82.0836
18.13 82.1742
18.14 82.2649
18.15 82.3556
18.16 82.4464
18.17 82.5372
18.18 82.6281
18.19 82.7190
18.20 82.8100
18.21 82.9010
18.22 82.9921
18.23 83.0832
18.24 83.1744
18.25 83.2656
18.26 83.3569
18.27 83.4482
18.28 83.5396
18.29 83.6310
18.30 83.7225
18.31 83.8140
18.32 83.9056
18.33 83.9972
18.34 84.0889
18.35 84.1806
18.36 84.2724
18.37 84.3642
18.38 84.4561
18.39 84.5480
18.40 84.6400
18.41 84.7320
18.42 84.8241
18.43 84.9162
18.44 85.0084
18.45 85.1006
18.46 85.1929
18.47 85.2852
18.48 85.3776
18.49 85.4700
18.50 85.5625
18.51 85.6550
18.52 85.7476
18.53 85.8402
18.54 85.9329
18.55 86.0256
18.56 86.1184
18.57 86.2112
18.58 86.3041
18.59 86.3970
18.60 86.4900
18.61 86.5830
18.62 86.6761
18.63 86.7692
18.64 86.8624
18.65 86.9556
18.66 87.0489
18.67 87.1422
18.68 87.2356
18.69 87.3290
18.70 87.4225
18.71 87.5160
18.72 87.6096
18.73 87.7032
18.74 87.7969
18.75 87.8906
18.76 87.9844
18.77 88.0782
18.78 88.1721
18.79 88.2660
18.80 88.3600
18.81 88.4540
18.82 88.5481
18.83 88.6422
18.84 88.7364
18.85 88.8306
18.86 88.9249
18.87 89.0192
18.88 89.1136
18.89 89.2080
18.90 89.3025
18.91 89.3970
18.92 89.4916
18.93 89.5862
18.94 89.6809
18.95 89.7756
18.96 89.8704
18.97 89.9652
18.98 90.0601
18.99 90.1550
19.00 90.2500
19.01 90.3450
19.02 90.4401
19.03 90.5352
19.04 90.6304
19.05 90.7256
19.06 90.8209
19.07 90.9162
19.08 91.0116
19.09 91.1070
19.10 91.2025
19.11 91.2980
19.12 91.3936
19.13 91.4892
19.14 91.5849
19.15 91.6806
19.16 91.7764
19.17 91.8722
19.18 91.9681
19.19 92.0640
19.20 92.1600
19.21 92.2560
19.22 92.3521
19.23 92.4482
19.24 92.5444
19.25 92.6406
19.26 92.7369
19.27 92.8332
19.28 92.9296
19.29 93.0260
19.30 93.1225
19.31 93.2190
19.32 93.3156
19.33 93.4122
19.34 93.5089
19.35 93.6056
19.36 93.7024
19.37 93.7992
19.38 93.8961
19.39 93.9930
19.40 94.0900
19.41 94.1870
19.42 94.2841
19.43 94.3812
19.44 94.4784
19.45 94.5756
19.46 94.6729
19.47 94.7702
19.48 94.8676
19.49 94.9650
19.50 95.0625
19.51 95.1600
19.52 95.2576
19.53 95.3552
19.54 95.4529
19.55 95.5506
19.56 95.6484
19.57 95.7462
19.58 95.8441
19.59 95.9420
19.60 96.0400
19.61 96.1380
19.62 96.2361
19.63 96.3342
19.64 96.4324
19.65 96.5306
19.66 96.6289
19.67 96.7272
19.68 96.8256
19.69 96.9240
19.70 97.0225
19.71 97.1210
19.72 97.2196
19.73 97.3182
19.74 97.4169
19.75 97.5156
19.76 97.6144
19.77 97.7132
19.78 97.8121
19.79 97.9110
19.80 98.0100
19.81 98.1090
19.82 98.2081
19.83 98.3072
19.84 98.4064
19.85 98.5056
19.86 98.6049
19.87 98.7042
19.88 98.8036
19.89 98.9030
19.90 99.0025
19.91 99.1020
19.92 99.2016
19.93 99.3012
19.94 99.4009
19.95 99.5006
19.96 99.6004
19.97 99.7002
19.98 99.8001
19.99 99.9000
20.00 100.000

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