circuit theory lab report

8/10/2019 Circuit Theory Lab Report

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EXPERIMENT #3

APPLICATION OF VOLTAGE DIVISION CURRENT

DIVISION AND OHMS LAW

Performed: 9/11/13

Submitted: 9/18/13

ECE 2111

Derick Pope - 901150412

Bilas Chowdhury


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Purpose:Analyze internal resistance and compare the expected results to the ones received.

Equipment Used:

Function Generator

Decade Resistance Box

Digital Multimeter

Circuit Board and wires

Procedure:

Section A

1. Have the resistance box implement certain resistances and use the digital multimeter to

determine what the actual resistance is being put out.

2. Do this starting at 500 ohms then go up to 3000 ohms with intervals of 100.

3. Repeat the same process using intervals of 500 but go up to 10K ohms.

4. Make ratios of each box resistance compared to the multimeter resistance.

Section B

1. The function generator will be used for this section so set it at 75% of the full scale

amplitude, 150 Hz frequency, and Sine waveform.

2. Measure the AC volts output with the digital multimeter of the circuit in intervals of 500

starting from 10K ohms going down to 500 ohms.

3.

Take the average, standard deviation, and standard error of the numbers.


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Section C

1. Set up the circuit below:

2. Similar to the previous section, record the voltage and current with resistance starting

at 1000 ohms then going up to 3000 ohms in intervals of 100.

3. Make a power dissipated versus resistance graph.

Table of Results:

Part 1

SectionA

Box

Settin

g

DMM

Readi

ng

Ratio

DMM/B

OX AVG

Corr

ecte

d

Mea

sure

Box

Settin

g

DMM

Readi

ng

Ratio

DMM/B

OX AVG

Corre

cted

Meas

ured

Resis

AV

G-

AV

G


4/8

d

Resi

stan

ce

tance

500 501 1.0020

0.98

97

494.

827

9 500 501 1.0020

0.98

80

494.0

0167

62

0.9

888

600 601 1.0017

593.

793

4 1000 987 0.9870

988.0

0335

24

700 700 1.0000

692.

759

0 1500 1488 0.9920

1482.

0050

29

800 800 1.0000

791.

724

6 2000 1964 0.9820

1976.

0067

05

900 898 0.9978

890.

690

2 2500 2460 0.9840

2470.

0083

81

1000 987 0.9870

989.

655

7 3000 2950 0.9833

2964.

0100

57

1100 1085 0.9864

108

8.62

13 3500 3450 0.9857

3458.

0117

33

1200 1190 0.9917

118

7.58

69 4000 3940 0.9850

3952.

0134

09

1300 1288 0.9908

1286.55

25 4500 4440 0.9867

4446.0150

86

1400 1390 0.9929

138

5.51

80 5000 4930 0.9860

4940.

0167

62

1500 1488 0.9920

148

4.48

36 5500 5430 0.9873

5434.

0184

38

1600 1588 0.9925

158

3.44

92 6000 5910 0.9850

5928.

0201

14

1700 1687 0.9924

168

2.41

48 6500 6410 0.9862

6422.

0217

9

1800 1786 0.9922

178

1.38

03 7000 6900 0.9857

6916.

0234

67


5/8

1900 1885 0.9921

188

0.34

59 7500 7400 0.9867

7410.

0251

43

2000 1964 0.9820

197

9.31

15 8000 7920 0.9900

7904.

0268

19

2100 2060 0.9810

207

8.27

71 8500 8400 0.9882

8398.

0284

95

2200 2160 0.9818

217

7.24

26 9000 8900 0.9889

8892.

0301

71

2300 2260 0.9826

227

6.20

82 9500 9390 0.9884

9386.

0318

47

2400 2360 0.9833

237

5.17

38 10000 10000 1.0000

9880.

0335

24

2500 2460 0.9840

247

4.13

93

2600 2560 0.9846

257

3.10

49

2700 2660 0.9852

267

2.07

05

2800 2760 0.9857

277

1.0361

2900 2860 0.9862

287

0.00

16

3000 2950 0.9833

296

8.96

72

Part 1 Section B

VRMS

Decade

Resistanc

e

Corrected

Measured

Resistance

Internal

Resistanc

e

Standard

Deviation

AverageInternal

Resistanc

e

Standard

Error

VS

Step

1

5.400

0 None None

V

N

Step

3

5.400

0 1.0E+07

9888295.458

9 0.0000

15.91314

4 47.1282

3.55828713

7


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5.37 1.0E+04 9888.2955 55.2419

5.4 9.5E+03 9393.8807 0.0000

5.37 9.0E+03 8899.4659 49.7177

5.37 8.5E+03 8405.0511 46.9556

5.36 8.0E+03 7910.6364 59.0346

5.36 7.5E+03 7416.2216 55.3449

5.36 7.0E+03 6921.8068 51.6553

5.36 6.5E+03 6427.3920 47.9656

5.35 6.0E+03 5932.9773 55.4484

5.35 5.5E+03 5438.5625 50.8277

5.34 5.0E+03 4944.1477 55.5522

5.34 4.5E+03 4449.7330 49.9970

5.33 4.0E+03 3955.3182 51.9460

5.32 3.5E+03 3460.9034 52.0437

5.31 3.0E+03 2966.4886 50.2795

5.29 2.5E+03 2472.0739 51.4042

5.26 2.0E+03 1977.6591 52.6373

5.22 1.5E+03 1483.2443 51.1464

5.13 1.0E+03 988.8295 52.0437

4.9 5.0E+02 494.4148 50.4505

Part 1 Section C

6.0000

Resistance

Ohms

Corrected

Resistance

Ohms

Volts

(V)

Current

(mA)

Measured

Power

(W)

max

1000 989 1.81 1.85 0.0033 0.0039

1100 1088 1.94 1.8 0.0035

1200 1187 2.06 1.74 0.0036

1300 1285 2.16 1.7 0.0036

1400 1384 2.28 1.65 0.0038

1500 1483 2.37 1.6 0.0038

1600 1582 2.47 1.56 0.0039

1700 1681 2.55 1.52 0.0039

1800 1780 2.63 1.49 0.0039

1900 1879 2.71 1.45 0.0039

2000 1978 2.77 1.42 0.0039

2100 2077 2.84 1.39 0.0039

2200 2175 2.92 1.36 0.0039

2300 2274 2.99 1.33 0.0039


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2400 2373 3.05 1.3 0.0039

2500 2472 3.11 1.27 0.0039

2600 2571 3.16 1.24 0.0039

2700 2670 3.22 1.22 0.0039

2800 2769 3.27 1.2 0.0039

2900 2868 3.32 1.17 0.0038

3000 2966 3.37 1.15 0.0038

Graphs:

Calculations:

Part 1 Section A

Multimeter/Ratio: Box = 501/500 = 1.0020

Average: Sum/20 = 0.9897

Correction factor: Average*Box Setting = 0.9897*500 = 494.8279

Part 1 Section B

(Excel calculated these numbers but here are the formulas excel used)

Ravg= (1/n)Ri

y = 3E-22x6- 3E-18x5+ 2E-14x4- 4E-11x3+

5E-08x2- 3E-05x + 0.01

R = 0.9929

0.0032

0.0033

0.0034

0.0035

0.0036

0.0037

0.0038

0.0039

0.0040

1000 1500 2000 2500 3000

Power(Watts)

Resistance(ohms)

Series1

Poly. (Series1)
http://en.wikipedia.org/wiki/Sigmahttp://en.wikipedia.org/wiki/Sigmahttp://en.wikipedia.org/wiki/Sigma


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Rstdev= sqrt((1/n)(RiRavg)2)

Rstderr= Rstdev/sqrt(n)

Part 1 Section C

P = V2/R = 1.812/1000 = 0.0033 Watts

Discussion: The decade resistance box and function generator both have internal resistances that

alter the actual resistance being used compared to what is expected. The correction factor value was

rather consistent throughout all the resistances as well as the power dissipated. At 0.0039 watts, the

maximum power is dissipated.

Conclusion:The experiments were successful. There were no problems setting up the circuits. Excel

helped quite a bit with the calculations and recording values.
http://en.wikipedia.org/wiki/Sigmahttp://en.wikipedia.org/wiki/Sigmahttp://en.wikipedia.org/wiki/Sigmahttp://en.wikipedia.org/wiki/Sigma

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