Measuring Resistance with a Multimeter and Verifying Ohm's Law

H
Hesaplamasyon Team
•2024-10-06
Measuring Resistance with a Multimeter and Verifying Ohm's Law
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Testing Ohm's Law in the Laboratory

How valid is the Ohm's Law (V = I × R) formula we see on the board in physics and electricity classes in the real world? The best way to prove this—and at the same time learn how to use a "multimeter," the most basic electronic measuring instrument—is to conduct a practical experiment at home or in the lab.

Sometimes you might have an old resistor with its color codes rubbed off, and a multimeter with a broken Ohms setting. In such a situation, you can find the value of this unknown resistor with very high accuracy just by measuring Volts and Amperes. All you have to do is enter the values you read into our Ohm's Law Calculator tool.

Required Materials

  • 1 power supply or Battery (e.g., a 9V battery)
  • 1 resistor of unknown value (or one you want to verify, e.g., one that says 1000 Ohms on it)
  • 1 Multimeter (a digital measuring device capable of measuring Volts and Amperes)
  • Connection wires (Jumper cables)

Step 1: Building the Circuit and Measuring Voltage (V)

First, we need to build the circuit simply. Connect the positive terminal of the battery to one leg of the resistor, and the negative terminal to the other leg. (Resistors don't have positive/negative polarity; they work even if connected backwards).

Now we will measure the Voltage (Potential Difference) across the resistor's leads:

  1. Set your multimeter to the "DC Volt" setting (usually a V with a straight line symbol) and to a limit higher than your expected value (for example, the 20V setting).
  2. Touch the red probe of the multimeter to one leg of the resistor, and the black probe to the other leg.
    (A voltmeter is always connected in parallel to the circuit.)
  3. Read the value on the screen. The battery might not produce exactly 9V; let's say the multimeter showed 8.8 Volts.
    We note this down: V = 8.8 Volts.

Step 2: Measuring the Current Passing Through the Circuit (I)

Now we will measure the amount of electrons passing through the circuit, that is, the current. This step requires a bit more care:

  1. Break the circuit at one point. (For example, disconnect one leg of the resistor from the battery).
  2. Set your multimeter to the "DC Ampere" setting. If you don't know the estimated current, first select the highest current setting (usually the 10A port) so as not to blow the device's fuse. If the value comes out small, you can drop down to the milliamp (mA) setting.
  3. Connect the red probe of the multimeter to one end of the break you made (e.g., the battery), and the black probe to the other end (the resistor).
    (An ammeter is always connected in series to the circuit; it must act as a part of the circuit, like a bridge.)
  4. Read the value on the screen. Let's say the screen showed 0.0086 Amperes (That is 8.6 milliamps).
    We note this down: I = 0.0086 Amperes.

Step 3: Applying Ohm's Law (R = V / I)

Now we have two concrete values taken from a real, live system. Ohm's law steps in.
Our formula to find the resistance is: R = V / I

Let's calculate:
R = 8.8 Volts / 0.0086 Amperes
R = 1023 Ohms (Approximately)

Before the experiment, we mentioned that the resistor we had said 1000 Ohms on it. But in our calculation, we found 1023 Ohms. Is the formula wrong? No!

Why Didn't It Come Out to Exactly 1000 Ohms? (The Concept of Tolerance)

Theoretical calculations (math on paper) are flawless, but the real world is flawed. Manufactured electronic components have a "Tolerance" (margin of error) value. The last color band on the resistors indicates this tolerance. Typically, this band is gold (5%) or silver (10%).

If our resistor is a 1000 Ohm with a 5% tolerance, its actual value could be anywhere between 950 Ohms and 1050 Ohms. The 1023 Ohm value we found is within this range, proving that our measurement is perfectly accurate. Furthermore, the multimeter's own internal resistance and the very small resistance of the cables can also cause fractional deviations.

To verify your measurement results and avoid dealing with millivolt/milliamp conversions, open our Ohm's Law Calculator tool. Select "Resistance (R)" as the Value to Calculate. Enter 8.8 in the Voltage section and V as the unit; enter 8.6 in the Current section and mA as the unit. You will instantly see the result come out as 1.02 kOhms (1023 Ohms) and the Power as 0.08 W (75 mW).

This simple experiment allows you to see with your own eyes that Ohm's Law is not just a textbook theory, but the electrical law of the universe.

Considerations When Choosing a Multimeter

The quality and features of the multimeter you choose to achieve reliable results in your lab or workshop are quite important. Erroneous measurements will also cause the calculations you make with Ohm's Law to be incorrect. When buying a new multimeter, ensuring it has the "True RMS" feature allows you to get more accurate results, especially in alternating current (AC) measurements. Since digital multimeters have much more precise screens compared to analog ones, they can capture even minute changes at the millivolt or milliamp level. Additionally, having its own internal fuses (for example, a 10A ceramic fuse) is a crucial safety layer that prevents the device from exploding or catching fire when you try to measure high current on the wrong setting. A good measuring tool is not just a calculator, but also a guarantee of your safety. It should not be forgotten that the slightest measurement errors made in a laboratory environment can have major consequences; a good tool always lays the groundwork for successful outcomes. If you want to make theoretical calculations based solely on formulas instead of using a multimeter, our calculator tool will always continue to be your best friend.

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