⭐ Starlight Tools / Ohm’s Law Calculator

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.

Symbol: V
Symbol: I
Symbol: R
Symbol: P
Results will appear here.

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.