Ohm’s Law Calculator
Calculate electrical voltage, current, resistance, or power using Ohm’s Law. Enter any two known values to find the other two. For example, enter voltage and wattage to find the current and resistance.
On this page:
- How to Use Ohm’s Law to Calculate Voltage, Current, Resistance, or Power
- What is the Ohm’s Law Formula?
- What do the Letters E, I, and R Mean in the Ohm’s Law Formula?
- Watt’s Law and the Power Formula
- Ohm’s Law Formula Wheel
- Formulas to Calculate Volts
- Formulas to Calculate Watts
- Formulas to Calculate Amps
- Formulas to Calculate Ohms
How to Use Ohm’s Law to Calculate Voltage, Current, Resistance, or Power
Ohm’s Law defines the relationship between electric current, resistance, and voltage. More specifically, Ohm’s law states that the current through a circuit element is directly proportional to the potential difference applied to it, and inversely proportional to the resistance.
For example, if voltage and resistance is known, then the calculator will find power and current. Alternatively, the power and resistance can be solved if the voltage and current is known.
What is the Ohm’s Law Formula?
The Ohm’s law formula is I = E/R, where I is the current through a conductor measured in amperes, E is the potential difference across the conductor measured in volts, and R is the resistance of a conductor measured in ohms.
I = ER
Thus, the formula for Ohm’s law states that the current I is equal to the voltage E divided by the resistance R.
The Ohm’s law triangle can be used to easily find volts, amps, or ohms. To use it, simply cover the unit you want to find to reveal the formula to solve it.
For instance, to solve for volts, cover the E with your thumb, which reveals that voltage is equal to I × R.
What do the Letters E, I, and R Mean in the Ohm’s Law Formula?
In the Ohm’s law formula, E represents electromotive force, or voltage, I represents intensity, or current, and R represents resistance.
Ohm’s law was created by Georg Simon Ohm in a paper published in 1827, well before the units of voltage, current, and resistance were defined.
It wasn’t until 1881 that the Volt, Ampere, and Ohm were defined, which is over 50 years after Ohm’s law was published. This explains why the letters are not related to modern day units used in the formula.
Watt’s Law and the Power Formula
Watt’s Law states that electric power measured in watts is equal to the of the circuit current times the voltage. This formula is very similar to Ohm’s law and can help solve for power/wattage.
The power formula is often used in conjunction with Ohm’s law to solve electrical properties when the power of the circuit is known.
P = I × E
Thus the power formula states that power P is equal to the current I times the voltage E.
The power triangle can be used to easily find watts, volts, or amps. Just like the Ohm’s law triangle, cover the unit you want to find to reveal the formula to solve it.
For instance, to solve for amps, cover the I with your thumb, which reveals that current is equal to P/E.
Our watts to amps calculator uses this formula to convert between power and current in electrical circuits, for example.
Ohm’s Law Formula Wheel
Ohm’s law can be used to find volts, watts, amps, or ohms if any two values are known. This can be done using the Ohm’s law and power formulas above.
The Ohm’s law wheel shows all of the formulas that can be used to find volts, watts, amps, or ohms.
Formulas to Calculate Volts
These three formulas can be used to solve for voltage.
Voltage = Current × Resistance
Voltage = Power ÷ Current
Voltage = Power × Resistance
Formulas to Calculate Watts
Use these formulas to solve for power.
Power = Voltage × Current
Power = Voltage2 ÷ Resistance
Power = Current2 × Resistance
Formulas to Calculate Amps
These three formulas can be used to solve for current.
Current = Voltage ÷ Resistance
Current = Power ÷ Voltage
Current = Power ÷ Resistance
Formulas to Calculate Ohms
These formulas that can be used to solve for resistance.
Resistance = Voltage ÷ Current
Resistance = Voltage2 ÷ Power
Resistance = Power ÷ Current2
Ohm’s law is used for many things, from understanding how large of a microwave can be used without blowing a circuit breaker to knowing how many light fixtures can be safely installed on a circuit without creating a fire hazard.
Use Ohm’s law to help size an electrical circuit or find out how large of a heater can be safely used on a regular outlet. You might also find our voltage drop calculator to determine voltage drop, the minimum wire size needed, and the maximum wire length for your next electrical project.
- Brandon Mitchell, Robert Ekey, Roy McCullough, and William Reitz, A Fan-tastic Quantitative Exploration of Ohm’s Law, https://aapt.scitation.org/doi/full/10.1119/1.5021431
- National Institute of Standards and Technology, Ampere: The Present, https://www.nist.gov/si-redefinition/ampere/ampere-present
- Encyclopeadia Britannica, Ohm's law, https://www.britannica.com/science/Ohms-law
- Mike Holt, Electrician’s Math and
Basic Electrical Formulas, https://www.mikeholt.com/instructor2/img/product/pdf/1302643872-sample.pdf