Lab #2: Parallel and Series Resistors



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Fall 2013 EELE 250 Circuits, Devices, and Motors Lab #2: Parallel and Series Resistors Scope: Use a multimeter to measure resistance, DC voltage, and current Use the color code for resistors. Use the prototype-board (breadboard) Understand the terms open circuit and short circuit Practice presenting laboratory results in a professional manner Home preparation: Review Chapters 1 and 2 of the Hambley text. Read through the experiment and plan out each step. Calculate the theoretical values for all electrical parameters you will be measuring in the lab, and fill out the prelab sheets (see the last two pages). Create tables in your notebook that you will use to record the calculated and measured results for the experiment. The nominal resistance value and its tolerance for 5, 10, and 20% resistors are indicated by four colored bands (ABCD) on the resistor body. A B C D Value given by digits: AB x 10 C, and D indicates tolerance. Note that tighter tolerance (1%) resistors have 5 bands (3 significant digits rather than 2). The numerical values corresponding to the colors are: 0 = Black 5 = Green Tolerance: 1 = Brown 6 = Blue 20% = No band 2 = Red 7 = Violet 10% = Silver 3 = Orange 8 = Gray 5% = Gold 4 = Yellow 9 = White -1= Gold Example: Brown Black Red Gold = 10 x 10 2 = 1000 = 1 kω ±5% 1

EELE 250 Lab #2 Fall 2013 Laboratory experiment: 1. Parallel Resistors Breadboard the circuit shown in Figure 2.1, using the DMM to set the power supply voltage. Use the DMM to measure the resistance of each resistor and record the values in your lab notebook. Measure the indicated currents and record in your lab notebook using the form shown in Table 2.1. Compare your measurements to the values you calculated in the prelab. Figure 2.1 RECALL that to measure current you need to figure out how to insert the meter in series with the branch and in the proper polarity in order to measure each current. a. Calculate the ratio R in = V 1 / (Note: This ratio of applied voltage and the input current is called input resistance, which is the equivalent resistance seen by the voltage source). R in =. b. How does compare with the sum of +? What circuit law refers to this summation? Do your measurements match your expectations? Explain. c. Can you find other similar relations among the measured currents in this circuit? 2. Disconnect one of the terminals of the resistor R4 in the circuit shown in Fig. 2.1 (creating an open circuit in that branch), and repeat the measurements you did in Part 1. Present the results of your prelab calculations and the measurements in your notebook using the form shown in Table 2.1. 2

EELE 250 Lab #2 Fall 2013 Table 2.1: Parallel Circuit Calculations and Measurements + + Currents Part 1 (Fig. 2.1 with R4 connected) Measured Part 2 (Fig. 2.1 with R4 disconnected) Measured Comment on the currents when R4 is connected and disconnected. Figure 2.2 + + + 3. Series Resistors Use the DMM to measure the resistance of each resistor and record the values in your lab notebook. Breadboard the circuit shown in Figure 2.2 and (a) measure the node voltages,,, with respect to the source voltage ground, (b) measure the individual voltage drops across the resistors (,, ), and (c) measure the current through the circuit elements. Record the measurements in your lab notebook using the form shown in Table 2.2. a. How does the sum of + + compare with the applied voltage V1? What circuit law is verified? b. Calculate the ratio between applied voltage V1 and input current : R in = V1/ =. 3

EELE 250 Lab #2 Fall 2013 4. Connect a jumper wire on your breadboard between the terminals of R1. You have established what is called a SHORT CRCUT across R1. Now repeat the calculations and measurements of Part 3 for the circuit with R1 shorted. Present the calculations and measured results of experiment Part 3 and Part 4 in your notebook using the form shown in Table 2.2. Table 2.2: Series Circuit Calculations and Measurements Measure + + Part 3 (Fig. 2.2 with R1 connected) Measured Part 4 (Fig. 2.2 with R1 shorted) Measured Before leaving lab, show your notebook with recorded lab results to your instructor for credit. Turn off all equipment and return cables to their proper place. Leave your lab station clean and ready for other students to use. You do not leave until your TA checks and approves the condition of your lab station! 4

EELE 250 Lab #2 NAME: PRELAB SHEETS Perform the calculations before coming to lab, and show a summary of your work. Your lab TA will collect these sheets at the start of the lab period for grading. A. Using a resistor band color code chart, determine the color codes of the resistors to be used in this lab and record the colors in the table below and in your lab notebook. Resistor Nominal Value (Ω) Color Band 1 Color Band 2 Color Band 3 Color Band 4 Color Band 5? 1 kω 3.3 kω 10 kω + + B. Calculate the indicated currents for the circuit in Figure 2.1 and place the results in the table below and in your lab notebook. Part 1 (Fig. 2.1 with R4 connected) + + C. For the circuit in Figure 2.1 but with one of the terminals of the resistor R4 disconnected, re-calculate the currents when the R4 branch is an open circuit. Part 2 (Fig. 2.1 with R4 DSCONNECTED Prelab page 1

EELE 250 Lab #2 NAME: D. Calculate the indicated current and voltages for the circuit in Figure 2.2 and place the results in the table below and in your lab notebook. Part 3 (Fig. 2.2 with R1 connected) + + E. Calculate the indicated current and voltages for the circuit in Figure 2.2 but with resistor R1 replaced by a short circuit, and place the results in the table below and in your lab notebook. Part 4 (Fig. 2.2 with R1 shorted) + + Prelab page 2