Lab3_Worksheet_Resistive

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University of Texas, Dallas *

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3320

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Electrical Engineering

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Apr 3, 2024

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BMEN 3220 – Electrical and Electronic Circuits in Biomedical Engineering Lab Lab 3: Resistive Circuits See the Report Guideline at the end the file for details on what to include in your Lab Report. Submit a single docx or pdf file in eLearning. Contents Introduction .............................................................................................................................................. 1 Exercise 1. Using the Multimeter .............................................................................................................. 2 1.1 Measuring resistance ...................................................................................................................... 2 1.2 Measuring voltage and current ....................................................................................................... 2 1.3 Kirchoff’s voltage law ...................................................................................................................... 3 Things to remember .............................................................................................................................. 3 Exercise 2. Power and equivalent resistance ............................................................................................ 4 2.1 Voltage sources .............................................................................................................................. 4 2.2 Series and parallel resistors ............................................................................................................ 5 Exercise 3. Analyzing a complex circuit ..................................................................................................... 6 3.1 Building the circuit .......................................................................................................................... 6 3.2 Finding all voltages ......................................................................................................................... 6 3.3 Finding all currents (without using Ohm’s law) ............................................................................... 7 3.4 Power consumption ........................................................................................................................ 7 3.5 Simulation ....................................................................................................................................... 8 Report Guideline ....................................................................................................................................... 9 Introduction In Lab-2, you have learned how to build simple resistive circuits and take basic measurements using Tinkercad. In this lab, you will physically build circuits and take measurements using actual circuit elements (you will use Tinkercad only in Exercise 3.5). As voltage sources, you can use benchtop power supplies (Agilent E3631A or Keysight E36312A available in the ML1 labs) and/or batteries (for example, use a 9 V battery for circuits with 9 V voltage sources; however, the actual voltage will likely be different; measure the actual battery voltage and use that value in your calculations instead of 9 V). Use color codes to identify resistors; you should use a multimeter to find their exact values. When directed, take a clear picture of the circuit for your report. BMEN 3220 – Resistive Circuits Page 1

Exercise 1. Using the Multimeter 1.1 Measuring resistance a) Pick resistors that have nominal values (NV) of 1 kΩ and 3 kΩ based on the color code. b) Use a multimeter to measure their actual resistances (MV) and fill in Table 1. c) Calculate the percentage error as, | NV − MV | NV × 100% Resistor Nominal Value (NV) Using Multimeter Measured Value (MV) Percentage Error R 1 1.0 k Ω 0.98320 1.68% R 2 3.0 k Ω 2.98470 0.52% Table 1 In your report, include a picture of the multimeter displaying the resistance of the resistor with nominal value of 1 kΩ. 1.2 Measuring voltage and current Connect a 1.5 V source across the 1 kΩ resistor. Measure the voltage across the resistor and the current passing through the resistor using your multimeter. In your report, include a picture of the multimeter displaying the voltage, and another displaying the current. BMEN 3220 – Resistive Circuits Page 2

1.3 Kirchoff’s voltage law Build the circuit shown in Figure 1 using a 9 V source, an LED and two resistors. The top resistor is 3 kΩ and the bottom one is 1 kΩ. Figure 1 Demonstrate Kirchoff’s voltage law (KVL) in this circuit upon taking the measurements you think are necessary. Describe what tasks you have performed; if and how you were able to demonstrate KVL; include relevant results and pictures. Things to remember  When you pick a resistor for building a circuit, do not just rely on the color codes (which give you the nominal values). Measure them using a multimeter to ensure you have the right value.  For all your calculations, use the measured resistor and supply voltage values for more accurate estimations rather than the nominal values as you have seen there is almost always an error.  Remember that a voltage between any two nodes of a circuit can be measured simply by touching the two probes of the voltmeter to these nodes. But when measuring current, you have to break the circuit and allow the current to pass through the ammeter. BMEN 3220 – Resistive Circuits Page 3

Exercise 2. Power and equivalent resistance 2.1 Voltage sources Figure 2 (a) Figure 2 (b) As shown in Figure 2(a), build a circuit with V S 1 = 1.5 V and R = 1 kΩ. Measure V R and I R . In your report, include a picture of the circuit with the ammeter displaying I R . Calculate the powers absorbed or delivered by the resistor and the source. Fill in the third column of Table 2. Next modify the circuit as Figure 2(b) with V S 2 = 9 V and repeat the above (fill in the last column of Table 2). For Figure 2 (a) For Figure 2 (b) Measurements Resistance, R 0.98926 kOhms Voltage, V R 1.5006 V Current, I R 1.5098 mA For Resistor Does it absorb power or deliver ? absorb What is the amount of this power? 0.002266 W For the source, V S 1 Does it absorb power or deliver ? deliver What is the magnitude of this power? 0.0022509 Does current leave the V S 1 terminal or enter ? leave Table 2 BMEN 3220 – Resistive Circuits Page 4

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