Ohm’s Law Calculator – Solve V, I, R, and P
Enter any two values. Choose units if needed. Click Calculate to find the other two.
Formulas Used
Ohm’s law and power relationships:
- \( V = I \times R \)
- \( P = V \times I \)
- \( P = I^2 \times R \)
- \( P = \dfrac{V^2}{R} \)
Tip: Provide any two quantities (e.g., V and R). The calculator finds the other two and shows the steps.
Frequently Asked Questions
Which two values should I enter?
Any two of: voltage (V), current (I), resistance (R), or power (P).
What units are supported?
Voltage: V, mV, kV. Current: A, mA. Resistance: Ω, mΩ, kΩ, MΩ. Power: W, mW, kW.
Why is my result shown in a different unit?
To keep numbers readable, the tool auto-scales results (e.g., 0.002 A → 2 mA, 1500 Ω → 1.5 kΩ).
Is my data private?
Yes—everything runs in your browser; nothing is uploaded.
Understanding Ohm’s Law
Ohm’s Law is one of the most important rules in electricity. It describes how voltage (V), current (I), and resistance (R) are related:
$$ V = I \times R $$
What the Symbols Mean
- V (Voltage): The “push” that moves charges through a circuit, measured in volts (V).
- I (Current): The flow of electric charge, measured in amperes (A).
- R (Resistance): How much a component resists the flow of current, measured in ohms (Ω).
- P (Power): The rate of using or producing energy, measured in watts (W).
The Ohm’s Law Triangle
A common study tip is the Ohm’s Law Triangle. Cover the value you want to find:
- \( V = I \times R \)
- \( I = \dfrac{V}{R} \)
- \( R = \dfrac{V}{I} \)
By remembering just the triangle, you can quickly rearrange the formula to solve for any missing value.
Adding Power to the Mix
Power (\(P\)) links to voltage and current:
$$ P = V \times I $$
With Ohm’s Law, we can also write:
- \( P = I^2 \times R \)
- \( P = \dfrac{V^2}{R} \)
These forms are useful for electronics design—like checking if a resistor can safely handle the power without overheating.
Real-Life Example
Suppose a 9 V battery is connected across a 1.5 kΩ resistor:
- Current: \( I = \dfrac{V}{R} = \dfrac{9}{1500} = 0.006 \,\text{A} = 6 \,\text{mA} \)
- Power: \( P = V \times I = 9 \times 0.006 = 0.054 \,\text{W} = 54 \,\text{mW} \)
So the resistor uses about 54 milliwatts of power—a very small amount, which is why this is a safe beginner circuit.
Why Ohm’s Law Matters
Engineers, electricians, and students use Ohm’s Law to:
- Design safe circuits.
- Calculate resistor values needed for LEDs or sensors.
- Estimate battery life in portable devices.
- Troubleshoot circuits when something isn’t working.
👉 Tip: Always keep track of units (V, A, Ω, W). Converting to base units first helps avoid mistakes.