Resistance Sizing Solver

Watts to Ohms Calculator

Heating element coil fabrication, vape wire coil resistance, dummy load sizing. Finds the required internal resistance for a target wattage rating at specific voltage/current.

Watts to Ohms Calculator
Watts
Volts
Calculated Result
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Instant Calculation
Auxiliary Value
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Engineering Output
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Step-by-Step Derivation ▼ Show Steps
Governing Formula Verified Physics
R = V² / P  |  R = P / I²

Calculations adhere to standard electrical equations and National Electrical Code guidelines.

Engineering Principles & Calculations

This calculator uses the exact mathematical relationships between Power (W), Voltage (V) or Current (A) to determine Resistance (Ohms / Ω). In practical applications, electrical systems must account for safety derating factors, nominal vs actual voltages, and conductor resistance losses.

Finds the required internal resistance for a target wattage rating at specific voltage/current.

Typical Application & Best Practices

Heating element coil fabrication, vape wire coil resistance, dummy load sizing.

Reference Matrix

Watts to Ohms Calculator Benchmark Lookup Table

Target WattageSupply VoltageRequired ResistanceCurrent Draw
100 W12V DC1.44 Ohms8.33 A
500 W120V AC28.80 Ohms4.17 A
1000 W120V AC14.40 Ohms8.33 A
1500 W120V AC9.60 Ohms12.50 A
3000 W240V AC19.20 Ohms12.50 A
4500 W240V AC12.80 Ohms18.75 A
FAQ

Frequently Asked Questions

How do you calculate Ohms from Watts? +
Divide voltage squared by wattage: R = V² / P. For 1500W at 120V, R = 14400 / 1500 = 9.6 Ohms.
How do you calculate Ohms if you know Amps? +
Use R = P / I². For 100W at 2A, R = 100 / (2)² = 25 Ohms.
Why does coil resistance increase when hot? +
Metals have a positive temperature coefficient of resistance (TCR), causing resistance to rise as temperature increases.

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