Verification of Ohm's Law (V = IR) using a virtual circuit simulation.
Any one of the following: PhET Ohm's Law Simulator (University of Colorado), Tinkercad Circuits (by Autodesk), or Falstad Circuit Simulator. All are free and browser-based.
A modern web browser such as Google Chrome, Mozilla Firefox, or Microsoft Edge with JavaScript enabled.
Microsoft Excel, Google Sheets, or LibreOffice Calc for recording observations and plotting V-I characteristic graphs.
Ohm's Law, formulated by Georg Simon Ohm in 1827, states that the electric current flowing through a conductor is directly proportional to the potential difference (voltage) applied across its ends, provided the physical conditions such as temperature remain constant. This fundamental relationship is expressed mathematically as:
For a metallic conductor maintained at a constant temperature, the ratio of voltage to current remains constant and equals the resistance of the conductor. This means that if you double the voltage across a fixed resistor, the current through it also doubles.
Rearranging Ohm's Law provides two additional useful forms:
Virtual circuit simulations provide several advantages over physical experiments for verifying Ohm's Law:
The following diagram represents the virtual circuit as it appears on the simulation screen. The circuit consists of an adjustable battery, an ammeter in series, a resistor, and a voltmeter in parallel with the resistor.
Figure 1: Virtual circuit simulation setup — adjustable battery, ammeter (series), resistor, and voltmeter (parallel). Digital readouts display precise values.
| S. No. | Voltage, V (volts) | Current, I (mA) | V / I (Ω) |
|---|---|---|---|
| 1 | 2.0 | 20.00 | 100 |
| 2 | 4.0 | 40.00 | 100 |
| 3 | 6.0 | 60.00 | 100 |
| 4 | 8.0 | 80.00 | 100 |
| 5 | 10.0 | 100.00 | 100 |
| S. No. | Voltage, V (volts) | Current, I (mA) | V / I (Ω) |
|---|---|---|---|
| 1 | 2.0 | 9.09 | 220 |
| 2 | 4.0 | 18.18 | 220 |
| 3 | 6.0 | 27.27 | 220 |
| 4 | 8.0 | 36.36 | 220 |
| 5 | 10.0 | 45.45 | 220 |
| S. No. | Voltage, V (volts) | Current, I (mA) | V / I (Ω) |
|---|---|---|---|
| 1 | 2.0 | 4.26 | 470 |
| 2 | 4.0 | 8.51 | 470 |
| 3 | 6.0 | 12.77 | 470 |
| 4 | 8.0 | 17.02 | 470 |
| 5 | 10.0 | 21.28 | 470 |
The following graph plots voltage (V) on the y-axis against current (I) on the x-axis for all three resistance values. Each straight line through the origin confirms that V is directly proportional to I, verifying Ohm's Law.
Figure 2: V-I characteristics for R = 100 Ω, 220 Ω, and 470 Ω. Steeper slopes indicate higher resistance. All lines are perfectly straight and pass through the origin.
The resistance of each resistor is calculated from the slope of its V-I graph. Since the graph plots V on the y-axis and I on the x-axis, the slope equals the resistance:
The experiment demonstrates that:
Performing this experiment in a virtual environment offers several practical benefits over a traditional physical laboratory setup:
Virtual components cannot burn out, short-circuit, or be damaged by incorrect connections. Students can experiment freely without risk to expensive lab equipment.
Simulated instruments provide perfectly precise readings without parallax errors, calibration drift, or contact resistance, making it ideal for understanding the theoretical relationship.
Changing resistor values, voltage ranges, and circuit configurations takes seconds. Multiple trials can be completed in a fraction of the time needed for a physical setup.
No risk of electric shock, overheating, or fire hazards. Students at all levels can safely explore circuit behavior, including extreme voltage and current values.
Requires only a web browser and internet connection. Students can perform the experiment from home, library, or classroom without needing a physical laboratory.
The V-I graph is a straight line because, according to Ohm's Law, the current through a metallic conductor is directly proportional to the voltage applied across it, provided the temperature and other physical conditions remain constant. The constant of proportionality is the resistance (R), which remains fixed, making the relationship linear: V = IR. Mathematically, this is the equation of a straight line passing through the origin with slope equal to R.
Non-ohmic conductors such as diodes, filament lamps, and thermistors would produce curved V-I graphs even in a virtual simulation, because the simulator models their non-linear behaviour. For a diode, the graph shows negligible current in reverse bias and below the threshold voltage, then a sharp exponential rise once the threshold (about 0.7 V for silicon) is exceeded. A filament lamp shows a curve because the simulator accounts for the temperature-dependent resistance: as current increases, the filament heats up, increasing its resistance, so the graph bends away from a straight line. A thermistor (NTC type) shows decreasing resistance with increasing temperature.
In real experiments, several factors cause deviation from the ideal Ohm's Law relationship:
Resistance (R) is the opposition to current flow offered by a specific conductor. It depends on the material, length, cross-sectional area, and temperature of the conductor. It is measured in ohms (Ω) and is an extrinsic property — different pieces of the same material can have different resistance values.
Resistivity (ρ) is an intrinsic property of the material itself, independent of the conductor's dimensions. It represents the resistance offered by a unit cube of the material. The relationship between them is:
R = ρ × L / A
where L is the length and A is the cross-sectional area. Resistivity is measured in ohm-metres (Ω·m). For example, copper has a low resistivity (~1.7 × 10⁻⁸ Ω·m), while glass has a very high resistivity (~10¹⁰ Ω·m).
Ohm's Law is fundamental to almost all electrical and electronic systems. Three common applications are:
Continue exploring circuit theory with the following experiment:
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