Difference between revisions of "Lab Report 1"

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[https://wiki.iac.isu.edu/index.php/Electronics_Lab_Reports_RS Go Back to All Lab Reports]
 
  
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=Kirchoff's Law (50 pnts)=
 
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== Smokey Circuits==
 
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When doing these labs it is important to determine the limitations of your electrical components in order to avoid damaging them.
 
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This lab uses resistors.  Resistors are vulnerable to melting if you push too much current through them.
 
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Resistors have power ratings ranging from 1/8 Watt up to several Watts.  The common resistors are rated at 1/4 Watt.  Let's assume this rating for the resistors in this lab.
 
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Determine the maximum voltage of the DC power supply you will use. (ie, 30 Volts)
 
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;<math> P =I^2R = V^2/R \Rightarrow R = \frac{V^2}{P} > \frac{\left (30 V \right)^2}{1/4 \mbox{Watt}} > 3600 \Omega</math>
 
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:By keeping your resistance values above 3600 <math>\Omega</math> you should be able to avoid burning up 1/4 Watt resistors when your max voltage is 30 Volts.
 
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The next objective is to use resistors which allow currents that you can measure with your voltmeter.
 
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;Since <math>V=IR \Rightarrow I = V/R = 30 \mbox{Volts}/3600 \Omega = 8\mbox{mA}</math>
 
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Determine the range of currents which the voltmeter can measure. (ie 1 mA)
 
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To get measurable currents you need low resistance BUT the lower resistances will need to have a high power rating.  These two competing properties limit the range of resistances you can use.
 
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Select the three resistors you should use for this experiment.
 
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==Construct the circuit below==
 
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[[File:TF_EIM_Lab1.png | 400 px]]
 
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==Enter the values of the DC voltage and Resisters that you used.==
 
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Use a voltmeter to measure the potential difference and resistances.
 
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{| border="3"  cellpadding="20" cellspacing="0"
 
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|Variable ||Measured Value
 
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| <math>V_A </math> || <math> (1.570 \pm 0.0005)</math> V 
 
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| <math>R_1</math> || <math> (99.4 \pm 0.05)</math> <math>\Omega</math>
 
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| <math>R_2</math> || <math> (0.99 \pm 0.005)</math> k<math>\Omega</math>
 
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| <math>R_3</math> || <math> (9.79 \pm 0.005)</math> k<math>\Omega</math>
 
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|}
 
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==Enter the measured and predicted quantities in the table below==
 
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Given <math>V_A</math> and the values of all resistors, use Kirchoff's laws to predict
 
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a.) Predict the value of <math>V_B</math>
 
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b.) Predict the values of the three currents.
 
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c.) compare your predictions and measurements  by filling in the table below.
 
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{| border="3"  cellpadding="20" cellspacing="0"
 
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|Variable ||Measured Value|| Predicted Value|| % Difference
 
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| <math>V_B</math> || <math>(1.413\pm 0.0005) V</math> || <math>(1.414\pm 0.0005) V</math> || <math>0.07 %</math>
 
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| <math>I_1</math> || <math>(1.57\pm 0.005) mA</math> || <math>(1.57\pm 0.005) mA</math> || <math>0.00 %</math>
 
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| <math>I_2</math> || <math>(1.43\pm 0.005) mA</math> || <math>(1.43\pm 0.005) mA</math> || <math>0.00 %</math>
 
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| <math>I_3</math> || <math>(0.144\pm 0.005) mA</math> || <math>(0.144\pm 0.005) mA</math> || <math>0.00 %</math>
 
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|}
 
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= Internal resistance (30 pnts)=
 
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Measure the internal resistance of a "D" cell battery by graphing the current on the x-axis and the measured voltage on the y-axis for several values of the resistance <math>R_L</math> shown in the circuit below.  Begin with <math>R_L = 1k\Omega</math> and then decrease it by a factor of 5 for each subsequent measurement.  You can use a volt meter to measure the current and potential difference.
 
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[[File:TF_EIM_Lab1a_fig.png | 200px]]
 
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{| border="3"  cellpadding="20" cellspacing="0"
 
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| R_{Load} (<math>\Omega</math>) || V (Volts)|| I (mA)
 
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| 990|| 1.536|| 1.56
 
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| 99.4|| 1.529|| 15.20
 
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| 46.3|| 1.519|| 31.82
 
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| 10.3|| 1.448|| 121.8
 
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| 0.47|| 0.667|| 1700
 
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|}
 
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[[File:RS lab1 pic1.png | 600px]]
 
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=Questions (20 pnts)=
 
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#What conservation law is involved in Kirchoff's Loop Theorem?
 
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#What does the slope in the internal resistance plot above represent?
 
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[[Forest_Electronic_Instrumentation_and_Measurement]]
 
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[https://wiki.iac.isu.edu/index.php/Electronics_Lab_Reports_RS Go Back to All Lab Reports]
 

Latest revision as of 00:15, 20 January 2011