ECE263L / Linear Circuit Theory I Laboratory Laboratory #1 / Measuring Voltage and Current with a Multimeter Objectives: The objectives for this laboratory assignment are shown below. If you do not think you can accomplish all three objectives by the end of the laboratory session, please see your lab instructor. 1. Explain how to use a multimeter to measure DC voltage and current in a circuit. 2. Demonstrate how a multimeter can be used to measure DC voltages and currents in a circuit. 3. Use Cadence’s OrCAD software to simulate DC circuits and measure voltages and currents. Background: Multimeters (or digital multimeters often called DMMs) are some of the most common tools used by electrical engineers and computer engineers to analyze and debug circuits. They are particularly useful for measuring resistances, voltages, and currents. Most ECE263 students have some experience using multimeters to measure voltages and resistances. However, most of our students have had limited opportunities to measure currents with a multimeter. In addition, it has been a couple months since ECE100 and GE100 wrapped up, so we’ll make sure everyone has all the info they need. We recognized that multimeters can look intimidating. They typically have a large screen, a good sized dial, a couple buttons, and several holes on their front. Plus, they are often covered with words, numbers, lots of abbreviations, and maybe even a couple icons. To make matter worse, there is no standard as to how multimeters look, so we cannot just show you one universal example. The multimeter in Figure 1 probably looks like yours, but it is just an example…. However, there is a lot of logic about how multimeters are designed, and once you figure how to use one multimeter, it is usually not hard to move to another device with a different look-and-feel. Figure 1. Example Multimeter Measuring Resistance. Let’s begin by how you use a multimeter to measure resistance. To do this, make sure your multimeter is turned on. Next, we need to tell the multimeter we want to measure resistance (instead of voltage, current, or some other type of value). To do this, you typically have to adjust the dial so that it is in the Ohmmeter range. On most (not all) multimeters, look for the symbol and a range of values that typically ranges from 20 to 20,000,000 (20M) or more. The number shown is the largest resistance value the multimeter can measure at a particular setting. For example, in Figure 2(a), the multimeter can measure values up to 200,000,000 (or 200M on the dial). As the multimeter dial is rotated to lower values of resistance (for example to 200k or even 2k), the measurement becomes more accurate. Therefore, the multimeter can measure the smallest resistances with the most accuracy. Next, make sure your cables are plugged in correctly. The black cable is always plugged into the COMMON socket. For resistances, make sure your red cable is plugged into the socket labeled with the symbol (see Figure 2(b)). Ω symbol Figure 2(a). Ohmmeter Range on a Multimeter. Figure 2(b). Cable Locations to Measure Resistance. Finally, before you start measuring resistances, you need to remember to always measure resistances when they are in isolation and not part of a larger circuit. As soon as you put the resistor into a circuit, the multimeter may not be able to accurately measure its resistance. We will see an example of this later on in the lab. Measuring Voltage. Before you can measure a voltage, you need to first tell the multimeter what type of voltage you want to measure: DC (constant voltages) or AC (alternating voltages). Each type of voltage has its own range on the multimeter. Typically, they are indicated as V~ for AC voltages and V─ for DC voltages (see Figure 3). In the example multimeter in Figure 3, we see that the DC voltmeter range is 200mVdc to 1000Vdc and the AC voltmeter range is 2Vac to 750Vac. Most of ECE263 will be spent looking at non-AC circuits, so you will primarily be using the DC voltage section. Figure 3. Voltmeter Range on a Multimeter. Just as with measuring resistances, the multimeter will be able to measure lower voltages more accurately than larger values. Therefore, if you have DC voltage potential of about 100mV, you will get the most accurate measurement if you turn the dial to the 200mV setting. To measure voltages, you need to remember you are essentially measuring an electrostatic potential difference between two points in a circuit. For example, take a look at the circuit in Figure 4. In ECE100 and GE100, you would typically have reported the voltages at nodes A, B, and C as 3.5V, 7V, and approximately 6.4V, respectively. However, it is important to note that all three of these values are measured with respect to the 0V potential at node D (our ground). In ECE263, we will often be looking at voltages not in reference to ground. It may take a couple weeks to get used to doing it this way, but voltage measurements will become a lot more useful when we can reference them to anything (and not just ground). B C A D Figure 4. Example Circuit to Measure Voltages To measure voltages, you also need to make sure your cables are plugged into the correct sockets. In most multimeters, the cables will plug into the same sockets as when you are measuring resistances. The black cable is plugged into the COMMON socket, and the red cable is plugged into a socket denoted by “V” (usually labeled right next to the symbol for resistances, see Figure 5). V symbol Figure 5. Cable Locations to Measure Voltage. With a multimeter, it is important to remember that when you are measuring voltages, you are measuring one potential relative to another potential. You can think of it as measuring your height with a tape measure. I can put the tape measure beside me, and measure my height as the distance from the top of my head to the floor. Note, it is important to put the tape measure next to me to do this, NOT INSIDE OF ME. (That may seem like a strange thing to say now, but trust me, it will make sense soon.) So, let’s look at how we can measure a bunch of different voltages from the Figure 4 circuit using our multimeter. 3.5V 7V 7V 7V 6.4V 0V 6.4V 3.5V 0V 0V (a) 6.4V 3.5V (b) (c) Figure 6. Measuring Voltages with the Multimeter. The Multimeter Shows How Much Higher the First Voltage (Connected to the Red Cable) Is Compared to the Second Voltage (Black Cable). In Figure 6.a, we are measuring the voltage VAD = VA - VD = 3.5V - 0V ~ 3.51V. The voltage at node A (VA) is approximately 3.5V above the voltage at node D (VD). In Figure 6.b, we are measuring the voltage VBD = VB - VD = 7.0V - 0V ~ 6.98V. The voltage at node B (VB) is approximately 7V above the voltage at node D (VD). In Figure 6.c, we are measuring the voltage VCD = VC - VD = 6.4V - 0V ~ 6.36V. The voltage at node C (VC) is approximately 6.4V above the voltage at node D (VD). Note, since the voltages VAD, VBD, and VCD are all measured relative to ground, sometimes, you might seem them written as VA, VB, and VC, respectively. This is typically what you would have seen in GE100 or ECE100. Now, let’s take a look at what happens when the voltage is not measured relative to ground. 7V 7V 7V 3.5V 6.4V 6.4V 3.5V 6.4V 3.5V 0V 0V 0V (a) (b) (c) Figure 7. Measuring Voltages with the Multimeter. Again, the Multimeter Shows How Much Higher the First Voltage (Connected to the Red Cable) Is Compared to the Second Voltage (Black Cable). In Figure 7.a, we are measuring the voltage VBA = VB - VA = 7.0V - 3.5V ~ 3.51V. The voltage at node B (VB) is approximately 3.5V above the voltage at node A (VA). In Figure 7.b, we are measuring the voltage VDA = VD - VA = 0V - 3.5V ~ -3.5V. The voltage at node D (VD) is approximately -3.5V above the voltage at node A (VA). (That is, VD is +3.5V below VA.) This is going to seem confusing for some people at first, but remember, once we get it figured out, it will make things easier. I promise. : ) The good news is that the way we measure and calculate the voltages is always the same. We always use the same procedure. In Figure 7.c, we are measuring the voltage VAC = VA - VC = 3.5V - 6.4V ~ -2.86V. The voltage at node A (VA) is approximately -2.9V above the voltage at node C (VC). (That is, VA is +2.86V below VC.) Note, in all these examples, we put the multimeter NEXT TO the circuit in Figure 4 to measure the voltages. We did not have to move any circuit parts around to measure the voltages, nor did we “insert” the multimeter into part of the circuit. This is in contrast to how we measure current. Measuring Current. Before you can measure a voltage, you need to first tell the multimeter what type of current you want to measure: DC (constant currents) or AC (alternating currents). Each type of current has its own range on the multimeter. Typically, they are indicated as A~ for AC currents and A─ for DC currents (see Figure 8). In the example multimeter in Figure 8, we see that the AC ammeter range (on the left) is 2mAac to 10Aac and the DC ammeter range is 20mAac to 10Aac. Most of ECE263 will be spent looking at non-AC circuits, so you will again primarily be using the DC voltage section. Just as with measuring resistances and voltages, the multimeter will be able to measure lower currents more accurately than larger values. Therefore, if you have a DC current of about 10mA, you will get the most accurate measurement if you turn the dial to the 20mA setting. DC Settings AC Settings Figure 8. Ammeter Range on a Multimeter. To measure currents, you also need to make sure your cables are plugged into the correct sockets. The black cable is still plugged into the COMMON socket. However, the red cable might be plugged into a number of different sockets - depending on what type of multimeter you have. For our example multimeter, look for the socket labeled “mA” as shown in Figure 9. (The “10A” socket would be used for higher currents, up to 10A.) Figure 9. Cable Locations to Measure Small Currents. Remember, current is a measurement of the quantity and direction of electricity flowing in a circuit. To measure a current, we need to physically insert the multimeter into the circuit to measure the flow THROUGH the multimeter. For example, in Figure 10, we show how one of the wires in the Figure 4 circuit has been removed so the current can flow THROUGH the multimeter to measure it. In all cases, the multimeter will report the current flowing INTO the red cable and OUT OF the black cable. Measures current flowing into red cable Figure 10. Multimeter Inserted INTO the Circuit to Measure the Current Flowing Down Through the Resistors. With a quick check of Ohm’s Law, we can check to see if the multimeter got it right: I= V 7V = = +6.36mA R 1.1k It looks like there is a small amount of error here, probably due to the resistor values not being exactly 100 and 1k and the voltage decaying on the batteries. However, if we reverse the multimeter connections, we instead measure the current flowing up THROUGH the resistors. Measures current flowing into red cable Figure 11. Multimeter Inserted INTO the Circuit to Measure the Current Flowing UP Through the Resistors. With a quick check of Ohm’s Law, we can again check if the multimeter got it right: I= V −7V = = −6.36mA R 1.1k Again, it looks like there is a small amount of error here, probably due to the resistor values not being exactly 100 and 1k and the voltage decaying on the batteries. However, the multimeter definitely shows us that there is a NEGATIVE current flowing up THROUGH the resistors.