[l-1] Voltmeter Dan Amperemeter.xlsx
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TABEL 1 ΔR ΔI ΔV PERHITUNGAN Rbox No Ω 1 2 3 4 5 6 7 8 9 10
± 0.5 Ω 0.015 mA 1 mV
KET NILAI HITUNG NILAI PEMBULATAN
I mA
Vbox mV
1100 1000 900 800 700 600 500 400 300 200
0.30 0.33 0.36 0.36 0.39 0.45 0.54 0.63 0.81 1.08
330.00 330.00 324.00 288.00 273.00 270.00 270.00 252.00 243.00 216.00
PENYAJIAN DATA Rbox ± ΔR No Ω 1 1100 ± 0.5 Ω 2 1000 ± 0.5 Ω 3 900 ± 0.5 Ω 4 800 ± 0.5 Ω 5 700 ± 0.5 Ω 6 600 ± 0.5 Ω 7 500 ± 0.5 Ω 8 400 ± 0.5 Ω 9 300 ± 0.5 Ω 10 200 ± 0.5 Ω
I ± ΔI mA 0.3 ± 0.015 mA 0.33 ± 0.015 mA 0.36 ± 0.015 mA 0.36 ± 0.015 mA 0.39 ± 0.015 mA 0.45 ± 0.015 mA 0.54 ± 0.015 mA 0.63 ± 0.015 mA 0.81 ± 0.015 mA 1.08 ± 0.015 mA
Vbox ± ΔV mV 330 ± 16.5 mV 330 ± 15 mV 324 ± 13.5 mV 288 ± 12 mV 273 ± 10.5 mV 270 ± 9 mV 270 ± 7.5 mV 252 ± 6.01 mV 243 ± 4.52 mV 216 ± 3.05 mV
Vbox' mV 330 330 324 288 273 270 270 252 243 216
ΔVbox mV 16.500682 15.000907 13.501200 12.001350 10.501811 9.002812 7.504858 6.008263 4.518188 3.048213
VBox(avg) ± ΔVBox(avg) mV
279.6 ± 12.246 mV
ΔVbox' mV 16.50 15.00 13.50 12.00 10.50 9.00 7.50 6.01 4.52 3.05
Vbox(avg)
Vbox'(avg)
mV
mV
279.60
(Vbox - Vbox(avg) )2
ΔVbox(avg)
ΔVbox'(avg)
mV
mV
2540.16 2540.16 1971.36 70.56 43.56 12.245815612 92.16 92.16 761.76 1339.56 4044.96
279.6
12.246
GRAFIK
V-R 350 f(x) = 0.1243636364x + 198.7636363636 R² = 0.9454157472
300 250
V
200
Col umn E Li near (Col umn E)
150 100 50 0 0
200
400
600
R
800
1000
1200
TABEL 2 ΔR ΔI ΔV
± 0.5 Ω 0.015 mA 1 mV
PERHITUNGAN Rbox No Ω 1 10 2 20 3 30 4 40 5 50 6 60 7 70 8 80 9 90 10 100 PENYAJIAN DATA Rbox ± ΔR No Ω 1 10 ± 0.5 Ω 2 20 ± 0.5 Ω 3 30 ± 0.5 Ω 4 40 ± 0.5 Ω 5 50 ± 0.5 Ω 6 60 ± 0.5 Ω 7 70 ± 0.5 Ω 8 80 ± 0.5 Ω 9 90 ± 0.5 Ω 10 100 ± 0.5 Ω
± KET NILAI HITUNG NILAI PEMBULATAN
Rt Ω
82
I ± ΔI mA 1.29 ± 0.015 mA 1.2 ± 0.015 mA 1.08 ± 0.015 mA 0.96 ± 0.015 mA 0.87 ± 0.015 mA 0.81 ± 0.015 mA 0.75 ± 0.015 mA 0.69 ± 0.015 mA 0.66 ± 0.015 mA 0.6 ± 0.015 mA
Ibox mA 1.29 1.20 1.08 0.96 0.87 0.81 0.75 0.69 0.66 0.60
Vbox ± ΔV mV 12.9 ± 0.662 mV 24 ± 0.671 mV 32.4 ± 0.703 mV 38.4 ± 0.768 mV 43.5 ± 0.867 mV 48.6 ± 0.987 mV 52.5 ± 1.115 mV 55.2 ± 1.248 mV 59.4 ± 1.389 mV 60 ± 1.529 mV
Vbox mV 12.900 24.000 32.400 38.400 43.500 48.600 52.500 55.200 59.400 60.000
Vbox' mV 12.9 24.0 32.4 38.4 43.5 48.6 52.5 55.2 59.4 60.0
VBox(avg) ± ΔVBox(avg) mV
42.69 ± 4.975 mV
ΔVbox mV 0.662212 0.670820 0.702922 0.768375 0.867021 0.986927 1.114955 1.248609 1.389748 1.529706
Vbox(avg)
Vbox'(avg)
mV
mV
42.690
(Vbox - Vbox(avg) )2
ΔVbox(avg)
ΔVbox'(avg)
mV
mV
887.44 349.32 105.88 18.40 0.66 4.9757511996 34.93 96.24 156.50 279.22 299.64
42.69
4.975
GRAFIK
V-R 70.0 f(x) = 0.5049090909x + 14.92 R² = 0.9438880915
60.0 50.0 40.0
V
ΔVbox' mV 0.662 0.671 0.703 0.768 0.867 0.987 1.115 1.248 1.389 1.529
Col umn F Li near (Col umn F)
30.0 20.0 10.0 0.0 0
20
40
60
R
80
100
120
TABEL 3 ΔR ΔI ΔV PERHITUNGAN Rbox No Ω 1 2 3 4 5 6 7 8 9 10
± 0.5 Ω 0.015 mA 1 mV
± KET NILAI HITUNG NILAI PEMBULATAN
I mA
Vbox mV
870 670 470 370 270 170 150 140 120
0.03 0.09 0.09 0.12 0.15 0.18 0.21 0.21 0.24
40 36 36 34 34 32 30 30 29
PENYAJIAN DATA Rbox ± ΔR No Ω 1 870 ± 0.5 Ω 2 670 ± 0.5 Ω 3 470 ± 0.5 Ω 4 370 ± 0.5 Ω 5 270 ± 0.5 Ω 6 170 ± 0.5 Ω 7 150 ± 0.5 Ω 8 140 ± 0.5 Ω 9 120 ± 0.5 Ω 10 ± 0.5 Ω
I ± ΔI mA 0.03 ± 0.015 mA 0.09 ± 0.015 mA 0.09 ± 0.015 mA 0.12 ± 0.015 mA 0.15 ± 0.015 mA 0.18 ± 0.015 mA 0.21 ± 0.015 mA 0.21 ± 0.015 mA 0.24 ± 0.015 mA ± 0.015 mA
Vbox ± ΔV mV 40 ± 1 mV 36 ± 1 mV 36 ± 1 mV 34 ± 1 mV 34 ± 1 mV 32 ± 1 mV 30 ± 1 mV 30 ± 1 mV 29 ± 1 mV ± 1 mV
Ibox mA 0.045977 0.053731 0.076596 0.091892 0.125926 0.188235 0.200000 0.214286 0.241667
Ibox' mA 0.046 0.054 0.076 0.091 0.126 0.188 0.200 0.214 0.241
IBox(avg) ± ΔIBox(avg) mA
0.137 ± 0.025 mA
ΔIbox mA 0.001150 0.001501 0.002113 0.002679 0.003713 0.005901 0.006700 0.007174 0.008371
Ibox(avg)
Ibox'(avg)
mA
mA
0.1373
(Ibox - Ibox(avg) )2 0.008281 0.006889 0.003721 0.002116 0.000121 0.002601 0.003969 0.005929 0.010816
0.137
ΔIbox(avg) mA
0.024844796
GRAFIK
I-R 0.300 0.250 0.200 0.150
f(x) = - 0.0002543798x + 0.2286274041 R² = 0.8192941691
I
ΔIbox' mV 0.0012 0.0015 0.0021 0.0027 0.0037 0.0059 0.0067 0.0071 0.0084
0.100 0.050 0.000 0 100 200 300 400 500 600 700 800 9001000
R
Col umn F Li near (Col umn F)
mn F r (Col umn F)
ΔIbox'(avg) mA
0.025
TABEL 4 ΔR ΔI ΔV PERHITUNGAN It No mA 1 2 3 4 5 6 7 8 9 10
± 0.5 Ω 0.015 mA 1 mV
± KET NILAI HITUNG NILAI PEMBULATAN
Rbox Ω 0.66 0.78 0.87 0.93 1.08 1.20 1.23 1.35 1.50
PENYAJIAN DATA It ± ΔI No mA 1 0.66 ± 0.015 mA 2 0.78 ± 0.015 mA 3 0.87 ± 0.015 mA 4 0.93 ± 0.015 mA 5 1.08 ± 0.015 mA 6 1.2 ± 0.015 mA 7 1.23 ± 0.015 mA 8 1.35 ± 0.015 mA 9 1.5 ± 0.015 mA 10 ± 0.015 mA
2
Rbox ± ΔRbox Ω
2 ± 0.015 Ω
Ia mA 0.54 0.60 0.69 0.75 0.87 0.99 1.17 1.32 1.38
Ia ± ΔI mA 0.54 ± 0.015 mA 0.6 ± 0.015 mA 0.69 ± 0.015 mA 0.75 ± 0.015 mA 0.87 ± 0.015 mA 0.99 ± 0.015 mA 1.17 ± 0.015 mA 1.32 ± 0.015 mA 1.38 ± 0.015 mA ± 0.015 mA
Ra Ω 0.44444 0.60000 0.52174 0.48000 0.48276 0.42424 0.10256 0.04545 0.17391
Ra ± Δra Ω 0.44 ± 0.6 ± 0.52 ± 0.48 ± 0.48 ± 0.42 ± 0.1 ± 0.04 ± 0.17 ± ±
Ra' Ω 0.44 0.60 0.52 0.48 0.48 0.42 0.10 0.04 0.17
Ra(avg) ± ΔRa(avg) Ω Ω Ω Ω Ω Ω Ω Ω Ω Ω Ω
0.36 ± 0.067 Ω
ΔRa Ω
ΔRa' Ω
Ra(avg)
Ra'(avg)
Ω
Ω
0.3639
Ra(avg) ± ΔRa(avg) Ω
0.36 ± 0.067 Ω
0.36
(Ra - Ra(avg) )2
ΔRa(avg) Ω
0.00579 0.05574 0.02437 0.01348 0.01348 0.0675112111 0.00315 0.06964 0.10491 0.03760
ΔRa'(avg) Ω
0.067
TABEL 5 ΔR ΔI ΔV PERHITUNGAN Vt No mV 1 2 3 4 5 6 7 8 9 10
± 0.5 Ω 0.015 mA 1 mV
± KET NILAI HITUNG NILAI PEMBULATAN
Rbox Ω
40 50 60 70 80 90
PENYAJIAN DATA Vt ± ΔV No mV 1 ± 1 mV 2 ± 1 mV 3 ± 1 mV 4 40 ± 1 mV 5 50 ± 1 mV 6 60 ± 1 mV 7 70 ± 1 mV 8 80 ± 1 mV 9 90 ± 1 mV 10 ± 1 mV
100
Rbox ± ΔRbox Ω
100 ± 0.015 Ω
Va mV
Rv Ω
38 46 48 66 74 86
Va ± ΔV mV ± 1 mV ± 1 mV ± 1 mV 38 ± 1 mV 46 ± 1 mV 48 ± 1 mV 66 ± 1 mV 74 ± 1 mV 86 ± 1 mV ± 1 mV
Rv' Ω
1900.000 1150.000 400.000 1650.000 1233.333 2150.000
1900.00 1150.00 400.00 1650.00 1233.33 2150.00
Rv(avg) ± ΔRv(avg)
Rv ± ΔRv Ω ± ± ± 1900 ± 1150 ± 400 ± 1650 ± 1233.33 ± 2150 ± ±
ΔRv Ω
Ω Ω Ω Ω Ω Ω Ω Ω Ω Ω Ω
1413.88 ± 255.87 Ω
ΔRv' Ω
Rv(avg)
Rv'(avg)
Ω
Ω
1413.8889
1413.88
(Rv - Rv(avg) )2
ΔRv(avg)
ΔRv'(avg)
Ω
Ω
236312.65 69632.65 255.8724665727 1027952.65 55752.65 32598.30 541872.65
255.87
± 0.5 Ω 0.015 mA 1 mV
KET NILAI HITUNG NILAI PEMBULATAN
I mA
Vbox mV
1100 1000 900 800 700 600 500 400 300 200
0.30 0.33 0.36 0.36 0.39 0.45 0.54 0.63 0.81 1.08
330.00 330.00 324.00 288.00 273.00 270.00 270.00 252.00 243.00 216.00
PENYAJIAN DATA Rbox ± ΔR No Ω 1 1100 ± 0.5 Ω 2 1000 ± 0.5 Ω 3 900 ± 0.5 Ω 4 800 ± 0.5 Ω 5 700 ± 0.5 Ω 6 600 ± 0.5 Ω 7 500 ± 0.5 Ω 8 400 ± 0.5 Ω 9 300 ± 0.5 Ω 10 200 ± 0.5 Ω
I ± ΔI mA 0.3 ± 0.015 mA 0.33 ± 0.015 mA 0.36 ± 0.015 mA 0.36 ± 0.015 mA 0.39 ± 0.015 mA 0.45 ± 0.015 mA 0.54 ± 0.015 mA 0.63 ± 0.015 mA 0.81 ± 0.015 mA 1.08 ± 0.015 mA
Vbox ± ΔV mV 330 ± 16.5 mV 330 ± 15 mV 324 ± 13.5 mV 288 ± 12 mV 273 ± 10.5 mV 270 ± 9 mV 270 ± 7.5 mV 252 ± 6.01 mV 243 ± 4.52 mV 216 ± 3.05 mV
Vbox' mV 330 330 324 288 273 270 270 252 243 216
ΔVbox mV 16.500682 15.000907 13.501200 12.001350 10.501811 9.002812 7.504858 6.008263 4.518188 3.048213
VBox(avg) ± ΔVBox(avg) mV
279.6 ± 12.246 mV
ΔVbox' mV 16.50 15.00 13.50 12.00 10.50 9.00 7.50 6.01 4.52 3.05
Vbox(avg)
Vbox'(avg)
mV
mV
279.60
(Vbox - Vbox(avg) )2
ΔVbox(avg)
ΔVbox'(avg)
mV
mV
2540.16 2540.16 1971.36 70.56 43.56 12.245815612 92.16 92.16 761.76 1339.56 4044.96
279.6
12.246
GRAFIK
V-R 350 f(x) = 0.1243636364x + 198.7636363636 R² = 0.9454157472
300 250
V
200
Col umn E Li near (Col umn E)
150 100 50 0 0
200
400
600
R
800
1000
1200
TABEL 2 ΔR ΔI ΔV
± 0.5 Ω 0.015 mA 1 mV
PERHITUNGAN Rbox No Ω 1 10 2 20 3 30 4 40 5 50 6 60 7 70 8 80 9 90 10 100 PENYAJIAN DATA Rbox ± ΔR No Ω 1 10 ± 0.5 Ω 2 20 ± 0.5 Ω 3 30 ± 0.5 Ω 4 40 ± 0.5 Ω 5 50 ± 0.5 Ω 6 60 ± 0.5 Ω 7 70 ± 0.5 Ω 8 80 ± 0.5 Ω 9 90 ± 0.5 Ω 10 100 ± 0.5 Ω
± KET NILAI HITUNG NILAI PEMBULATAN
Rt Ω
82
I ± ΔI mA 1.29 ± 0.015 mA 1.2 ± 0.015 mA 1.08 ± 0.015 mA 0.96 ± 0.015 mA 0.87 ± 0.015 mA 0.81 ± 0.015 mA 0.75 ± 0.015 mA 0.69 ± 0.015 mA 0.66 ± 0.015 mA 0.6 ± 0.015 mA
Ibox mA 1.29 1.20 1.08 0.96 0.87 0.81 0.75 0.69 0.66 0.60
Vbox ± ΔV mV 12.9 ± 0.662 mV 24 ± 0.671 mV 32.4 ± 0.703 mV 38.4 ± 0.768 mV 43.5 ± 0.867 mV 48.6 ± 0.987 mV 52.5 ± 1.115 mV 55.2 ± 1.248 mV 59.4 ± 1.389 mV 60 ± 1.529 mV
Vbox mV 12.900 24.000 32.400 38.400 43.500 48.600 52.500 55.200 59.400 60.000
Vbox' mV 12.9 24.0 32.4 38.4 43.5 48.6 52.5 55.2 59.4 60.0
VBox(avg) ± ΔVBox(avg) mV
42.69 ± 4.975 mV
ΔVbox mV 0.662212 0.670820 0.702922 0.768375 0.867021 0.986927 1.114955 1.248609 1.389748 1.529706
Vbox(avg)
Vbox'(avg)
mV
mV
42.690
(Vbox - Vbox(avg) )2
ΔVbox(avg)
ΔVbox'(avg)
mV
mV
887.44 349.32 105.88 18.40 0.66 4.9757511996 34.93 96.24 156.50 279.22 299.64
42.69
4.975
GRAFIK
V-R 70.0 f(x) = 0.5049090909x + 14.92 R² = 0.9438880915
60.0 50.0 40.0
V
ΔVbox' mV 0.662 0.671 0.703 0.768 0.867 0.987 1.115 1.248 1.389 1.529
Col umn F Li near (Col umn F)
30.0 20.0 10.0 0.0 0
20
40
60
R
80
100
120
TABEL 3 ΔR ΔI ΔV PERHITUNGAN Rbox No Ω 1 2 3 4 5 6 7 8 9 10
± 0.5 Ω 0.015 mA 1 mV
± KET NILAI HITUNG NILAI PEMBULATAN
I mA
Vbox mV
870 670 470 370 270 170 150 140 120
0.03 0.09 0.09 0.12 0.15 0.18 0.21 0.21 0.24
40 36 36 34 34 32 30 30 29
PENYAJIAN DATA Rbox ± ΔR No Ω 1 870 ± 0.5 Ω 2 670 ± 0.5 Ω 3 470 ± 0.5 Ω 4 370 ± 0.5 Ω 5 270 ± 0.5 Ω 6 170 ± 0.5 Ω 7 150 ± 0.5 Ω 8 140 ± 0.5 Ω 9 120 ± 0.5 Ω 10 ± 0.5 Ω
I ± ΔI mA 0.03 ± 0.015 mA 0.09 ± 0.015 mA 0.09 ± 0.015 mA 0.12 ± 0.015 mA 0.15 ± 0.015 mA 0.18 ± 0.015 mA 0.21 ± 0.015 mA 0.21 ± 0.015 mA 0.24 ± 0.015 mA ± 0.015 mA
Vbox ± ΔV mV 40 ± 1 mV 36 ± 1 mV 36 ± 1 mV 34 ± 1 mV 34 ± 1 mV 32 ± 1 mV 30 ± 1 mV 30 ± 1 mV 29 ± 1 mV ± 1 mV
Ibox mA 0.045977 0.053731 0.076596 0.091892 0.125926 0.188235 0.200000 0.214286 0.241667
Ibox' mA 0.046 0.054 0.076 0.091 0.126 0.188 0.200 0.214 0.241
IBox(avg) ± ΔIBox(avg) mA
0.137 ± 0.025 mA
ΔIbox mA 0.001150 0.001501 0.002113 0.002679 0.003713 0.005901 0.006700 0.007174 0.008371
Ibox(avg)
Ibox'(avg)
mA
mA
0.1373
(Ibox - Ibox(avg) )2 0.008281 0.006889 0.003721 0.002116 0.000121 0.002601 0.003969 0.005929 0.010816
0.137
ΔIbox(avg) mA
0.024844796
GRAFIK
I-R 0.300 0.250 0.200 0.150
f(x) = - 0.0002543798x + 0.2286274041 R² = 0.8192941691
I
ΔIbox' mV 0.0012 0.0015 0.0021 0.0027 0.0037 0.0059 0.0067 0.0071 0.0084
0.100 0.050 0.000 0 100 200 300 400 500 600 700 800 9001000
R
Col umn F Li near (Col umn F)
mn F r (Col umn F)
ΔIbox'(avg) mA
0.025
TABEL 4 ΔR ΔI ΔV PERHITUNGAN It No mA 1 2 3 4 5 6 7 8 9 10
± 0.5 Ω 0.015 mA 1 mV
± KET NILAI HITUNG NILAI PEMBULATAN
Rbox Ω 0.66 0.78 0.87 0.93 1.08 1.20 1.23 1.35 1.50
PENYAJIAN DATA It ± ΔI No mA 1 0.66 ± 0.015 mA 2 0.78 ± 0.015 mA 3 0.87 ± 0.015 mA 4 0.93 ± 0.015 mA 5 1.08 ± 0.015 mA 6 1.2 ± 0.015 mA 7 1.23 ± 0.015 mA 8 1.35 ± 0.015 mA 9 1.5 ± 0.015 mA 10 ± 0.015 mA
2
Rbox ± ΔRbox Ω
2 ± 0.015 Ω
Ia mA 0.54 0.60 0.69 0.75 0.87 0.99 1.17 1.32 1.38
Ia ± ΔI mA 0.54 ± 0.015 mA 0.6 ± 0.015 mA 0.69 ± 0.015 mA 0.75 ± 0.015 mA 0.87 ± 0.015 mA 0.99 ± 0.015 mA 1.17 ± 0.015 mA 1.32 ± 0.015 mA 1.38 ± 0.015 mA ± 0.015 mA
Ra Ω 0.44444 0.60000 0.52174 0.48000 0.48276 0.42424 0.10256 0.04545 0.17391
Ra ± Δra Ω 0.44 ± 0.6 ± 0.52 ± 0.48 ± 0.48 ± 0.42 ± 0.1 ± 0.04 ± 0.17 ± ±
Ra' Ω 0.44 0.60 0.52 0.48 0.48 0.42 0.10 0.04 0.17
Ra(avg) ± ΔRa(avg) Ω Ω Ω Ω Ω Ω Ω Ω Ω Ω Ω
0.36 ± 0.067 Ω
ΔRa Ω
ΔRa' Ω
Ra(avg)
Ra'(avg)
Ω
Ω
0.3639
Ra(avg) ± ΔRa(avg) Ω
0.36 ± 0.067 Ω
0.36
(Ra - Ra(avg) )2
ΔRa(avg) Ω
0.00579 0.05574 0.02437 0.01348 0.01348 0.0675112111 0.00315 0.06964 0.10491 0.03760
ΔRa'(avg) Ω
0.067
TABEL 5 ΔR ΔI ΔV PERHITUNGAN Vt No mV 1 2 3 4 5 6 7 8 9 10
± 0.5 Ω 0.015 mA 1 mV
± KET NILAI HITUNG NILAI PEMBULATAN
Rbox Ω
40 50 60 70 80 90
PENYAJIAN DATA Vt ± ΔV No mV 1 ± 1 mV 2 ± 1 mV 3 ± 1 mV 4 40 ± 1 mV 5 50 ± 1 mV 6 60 ± 1 mV 7 70 ± 1 mV 8 80 ± 1 mV 9 90 ± 1 mV 10 ± 1 mV
100
Rbox ± ΔRbox Ω
100 ± 0.015 Ω
Va mV
Rv Ω
38 46 48 66 74 86
Va ± ΔV mV ± 1 mV ± 1 mV ± 1 mV 38 ± 1 mV 46 ± 1 mV 48 ± 1 mV 66 ± 1 mV 74 ± 1 mV 86 ± 1 mV ± 1 mV
Rv' Ω
1900.000 1150.000 400.000 1650.000 1233.333 2150.000
1900.00 1150.00 400.00 1650.00 1233.33 2150.00
Rv(avg) ± ΔRv(avg)
Rv ± ΔRv Ω ± ± ± 1900 ± 1150 ± 400 ± 1650 ± 1233.33 ± 2150 ± ±
ΔRv Ω
Ω Ω Ω Ω Ω Ω Ω Ω Ω Ω Ω
1413.88 ± 255.87 Ω
ΔRv' Ω
Rv(avg)
Rv'(avg)
Ω
Ω
1413.8889
1413.88
(Rv - Rv(avg) )2
ΔRv(avg)
ΔRv'(avg)
Ω
Ω
236312.65 69632.65 255.8724665727 1027952.65 55752.65 32598.30 541872.65
255.87
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