Ohm's Law Explained: Voltage, Current, and Resistance Made Simple
Mathematics

Ohm's Law Explained: Voltage, Current, and Resistance Made Simple

Calculatore.net Team July 28, 2026 5 min read352 words

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Ohm's Law is the foundation of electronics and electrical engineering. Named after German physicist Georg Ohm, it describes the fundamental relationship between voltage, current, and resistance.

The Ohm's Law Formula

QUICK GUIDE
QUICK GUIDE โ€” Calculatore.net

V = I ร— R

Where:

  • V = Voltage (volts)
  • I = Current (amperes)
  • R = Resistance (ohms, ฮฉ)

The formula can be rearranged to find any value:

  • V = I ร— R โ€” Find voltage given current and resistance
  • I = V รท R โ€” Find current given voltage and resistance
  • R = V รท I โ€” Find resistance given voltage and current

Simple Examples

Example 1: Finding Voltage

A circuit has 2A of current flowing through a 10ฮฉ resistor. What's the voltage?

V = 2A ร— 10ฮฉ = 20V

Example 2: Finding Current

A 9V battery is connected to a 30ฮฉ resistor. How much current flows?

I = 9V รท 30ฮฉ = 0.3A (300mA)

Example 3: Finding Resistance

A device runs on 120V and draws 5A. What's its resistance?

R = 120V รท 5A = 24ฮฉ

Power Formula

EXAMPLE
EXAMPLE โ€” Calculatore.net

P = V ร— I

Power (measured in watts) can also be found using:

  • P = Iยฒ ร— R โ€” Power from current and resistance
  • P = Vยฒ รท R โ€” Power from voltage and resistance

*Example: 20V ร— 2A = 40W

Practical Applications

Ohm's Law is used everywhere:

  • Choosing resistors for LED circuits
  • Determining wire sizes for electrical installations
  • Troubleshooting electronics โ€” measuring voltage drops
  • Designing power supplies โ€” matching voltage and current ratings
  • Battery selection โ€” ensuring devices get the right power

Try Our Ohm's Law Calculator

Our Ohm's Law Calculator lets you:

  • Enter any two values (voltage, current, resistance)
  • Instantly calculate the third value
  • Also see power consumption
  • Perfect for students, hobbyists, and professionals
๐Ÿ’ก Remember: Ohm's Law only applies to ohmic materials (where resistance is constant). Some components like diodes and LEDs don't follow Ohm's Law linearly.

*Calculate voltage, current, or resistance with our free Ohm's Law Calculator.*

Frequently Asked Questions

Do the math calculators show the steps?+

Yes โ€” calculators like the Fraction Calculator and Triangle Calculator show the intermediate values and formulas used, making it easy to verify results and learn.

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Results are shown with sensible precision (usually up to 4-6 significant digits) and can be copied or shared in one click.

Are these formulas accurate?+

All formulas follow standard mathematical definitions. We test every calculator against known examples to ensure accuracy.

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