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Ohm's Law Calculator

Calculation Results

Calculated estimations for your inputs:

Voltage (V)
0.00 V
Current (I)
0.00 A
Resistance (R)
0.00 Ω
Power (P)
0.00 W

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An Ohm's Law calculator determines Voltage (V), Current (I), Resistance (R), and Power (P) dynamically for electrical circuits using standard physics formulas.

Quick Answer: Ohm's law defines the relationship between Volts, Amps, and Ohms. Enter any two variables to solve for the other parameters.
Base Formulas: V = I × R and P = V × I
Worked Example: A load operating on 120 Volts with a resistance of 12 Ohms draws exactly 10.00 Amps of current and consumes 1,200 Watts of electrical power.

The 12 Variations of Ohm's Law Table

These equations define electrical load parameters based on IEEE dictionary definitions and standard electrical engineering standards.

Target Parameter Equation 1 Equation 2 Equation 3
Voltage (V)I × RP ÷ I√(P × R)
Current (I)V ÷ RP ÷ V√(P ÷ R)
Resistance (R)V ÷ IV² ÷ PP ÷ I²
Power (P)V × II² × RV² ÷ R

Sources & References

  1. IEEE Standard 100: Authoritative Dictionary of IEEE Standards Terms Source Link
  2. IEC 60050: International Electrotechnical Vocabulary (IEV) - Part 131: Circuit Theory Source Link
  3. NIST Special Publication 330: The International System of Units (SI) Source Link
  4. NFPA 70: National Electrical Code (NEC) Article 100 - Definitions Source Link
  5. BS 7671: Requirements for Electrical Installations (IET Wiring Regulations) Source Link
  6. IEC 60364-1: Low-voltage electrical installations - Part 1: Fundamental principles Source Link
  7. DIN 1304-1: Letter symbols for physical quantities (German national standard) Source Link
  8. CODATA internationally recommended values of fundamental physical constants Source Link
  9. SASO IEC 60364-1: Saudi/GCC Low-Voltage Electrical Installations Code Source Link
  10. ASTM E2627: Standard Practice for Determining Physical Properties of Electrical Insulators Source Link

Frequently Asked Questions (FAQ)

What is Ohm's Law?

Ohm's Law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance.

What is the relationship between Watts and Amps?

Power (Watts) is the product of Voltage (Volts) and Current (Amps): Power = Voltage × Current. If voltage is constant, higher amperage means higher wattage.

How do you find resistance when Voltage and Current are known?

Use the formula: Resistance (R) = Voltage (V) ÷ Current (I). For example, 120V divided by 10A equals 12 Ohms.

What is IEEE Standard 100?

It is the standard dictionary published by the IEEE that defines terms for electrical engineering and physical quantities.

How does a short circuit affect resistance and current?

A short circuit drops the resistance of the path to near zero. Because Current = Voltage / Resistance, a near-zero resistance causes current to spike to dangerous levels, tripping breakers.

Can I use Ohm's Law for Alternating Current (AC)?

Yes, but for purely resistive loads. If inductance or capacitance is present, you must replace Resistance (R) with Impedance (Z) and account for phase angles.

What unit represents electrical power?

Power is measured in Watts (W), named after James Watt. One Watt is defined as one Joule per second.

How do you calculate voltage drop in a wire?

Voltage drop is Voltage = Current × Resistance, where Resistance represents the resistive loss of the wire material over the distance.

Is electric current hazardous?

Yes. Current (amperage) flowing through the body can disrupt cardiac rhythms. Safety standards state that current as low as 50-100mA can be fatal.

What is the role of a resistor?

A resistor restricts the flow of electric current, creating a voltage drop in accordance with V = I × R to protect delicate components.