Name: Daniel Bernard Partner: Matthew Engel ECE 2006 Lab #01 Digital Multimeter Performed: September 12, 2011 Due: September 19, 2011 Lab TA: Tiger Qian 1. Introduction and Background The goal of this lab is to learn to use a digital multimeter to record voltage, current and resistance in basic circuits, and calculate appropriate tolerances based upon the accuracy of the multimeter. Apply Ohm’s law to measure voltage, current and resistance using resistors in series/parallel. Resistance from the multimeter and wires should be ignored. 2. Procedure 2.1. Individual Resistors 2.1.1. Nominal Resistance Using three 5% resistors with resistance of 2200β¦, 4700β¦ and 6800β¦ calculate their tolerance, minimum, and maximum resistance, recording your data in Table 1. 2.1.2. Ohmmeter Use the ohmmeter function on a digital multimeter to measure the resistance in ohms of the three resistors individually. Calculate for each resistor the tolerance, minimum, and maximum resistance, recording your data in Table 2. 2.1.3. Using Ohm’s Law to Calculate Resistance Set up a DC power supply to output 10 V DC. Use the voltmeter function on a digital multimeter to measure the output from the power supply after passing through the resistors individually. Set up the circuit again such that the digital multimeter can be used to record current as an ammeter and measure the current through the resistors. Calculate the resistance via the equation of Ohm’s Law; π = πΌπ . Record your data in Table 3. 2.2. Series Resistors 2.2.1. Nominal and Measured Resistance Calculate the nominal equivalent resistance using the color code on the resistors and the ohmmeter function on a digital multimeter, separately calculating tolerance, minimum and maximum circuit resistance. Record your data in Table 4. 2.2.2. Using Ohm’s Law to Calculate Resistance Use the digital multimeter as a voltmeter, and the DC power supply set to output 10 V DC. Setting up the resistors in series, measure voltage through the circuit powered by the power supply. Set up the circuit again with the ammeter function on the digital multimeter, and measure the current. Calculate tolerances for voltage and current. Using Ohm’s law, calculate the resistance, tolerance, minimum and maximum and record your data in Table 5. 2.3. Parallel Resistors 2.3.1. Nominal and Measured Resistance Calculate the nominal equivalent resistance using the color code on the resistors and the ohmmeter function on a digital multimeter, separately calculating tolerance, minimum and maximum circuit resistance. Record your data in Table 6. 2.3.2. Using Ohm’s Law to Calculate Resistance Use the digital multimeter as a voltmeter, and the DC power supply set to output 10 V DC. Setting up the resistors in parallel, measure voltage through the circuit powered by the power supply. Set up the circuit again with the ammeter function on the digital multimeter, and measure the current. Calculate tolerances for voltage and current. Using Ohm’s law, calculate the resistance, tolerance, minimum and maximum and record your data in Table 7. 2.4. Equipment List o DC Power Supply o Resistors (5% Tolerance 2200β¦, 4700β¦, 6800β¦) o Digital Multimeter (with ammeter, ohmmeter and voltmeter settings) 3. Results See attached sheet for Tables 1-7, displaying data from the previous sections. 3.1. Sample Calculations/Equations Nominal Tolerance Calculation: Example: π ππ ππ π‘ππππ ∗ 5% = πππππππππ 2200β¦ ∗ 5% = 110β¦ Minimum Calculation: Example: π ππ ππ π‘ππππ − πππππππππ = ππππππ’π 2200β¦ − 110β¦ = 2090β¦ Maximum Calculation: Example: π ππ ππ π‘ππππ + πππππππππ = πππ₯πππ’π 2200β¦ + 110β¦ = 2310β¦ Measured Tolerance Calculation: OR OR Example: π ππ ππ π‘ππππ ∗ .1% + 2 πππππ‘π = πππππππππ πΆπ’πππππ‘ ∗ .3% + 2 πππππ‘π = πππππππππ ππππ‘πππ ∗ .03% + 2 πππππ‘π = πππππππππ 2199β¦ ∗ .1% + 2 πππππ‘π = 2.201β¦ Ohm’s Law: Example: ππππ‘πππ = πΆπ’πππππ‘ ∗ π ππ ππ π‘ππππ 9.951π / 4.528ππ΄ = 2197β¦ 4. Conclusions The most accurate measurement technique was through use of the digital multimeter for recording resistance, current, and voltage. In terms of convenience, if you did not have access to the circuit, such as if you were to be viewing someone else’s circuit diagram, nominal resistance based off the color codes would be the most convenient. However, if you had access to the full circuit, using the multimeter would be far more accurate for making measurements.`