Resistance from Power and Potential

The Resistance from Power and Potential calculator computes the resistance based on Ohm's Law using electrical power (P) and potential or voltage (V).

INSTRUCTIONS: Choose units and enter the following:

• (P) Power
• (V) Potential (voltage)

Electrical Resistance (R): The calculator returns the electrical resistance in ohms.  However, this can be automatically converted to other electric resistance units via the pull-down menu.

General Information

 For more information on the relationship between electrical power, current, resistance and potential, see the Ohm's Law Calculator.  The Ohm's Law formula for resistance based on voltage and power is:

      R = V² / P

where:

• R = resistance
• P = power
• V = voltage 

Ohm's Law

The Ohm's Law calculator suite computes power (watts), potential (voltage), current (amps) and resistance (ohms) in relation to each other based on Ohm's Law.  There is a fundamental relationship between electrical parameters: potential, current, resistance and power depicted in the graphical wheel (see wheel).  

The Ohm's Law Calculator suite has automatic unit conversions for the input and output of the equations.  The equations are as follows.  Click on the formula for a pop-up calculator with the formula, or click on the description link for the page dedicated to that formula.

Power (watts, milliwatts, kilowatts)

• Power (P) = I • V :  Computes the power (watts) as a function of current (amps) and potential (volts).
• Power (P) = R • I² : Computes the power (watts) as a function of current (amps) and resistance (ohms).
• Power (P) = V² / R: Computes the power (watts) as a function of potential (volts) and resistance (ohms).

Potential (volts, millivolts)

• Volts (V) = I • R  : Computes the potential (volts) as a function of current (amps) and resistance (ohms).
• Volts (V) = P / I  : Computes the potential (volts) as a function of power (watts) and current (amps).
• Volts(V) = √(P • R) : Computes the potential (volts) as a function of power (watts) and resistance (ohms).

Resistance (ohms, milliohms, kiloohms)

• Resistance (R) = V²/P : Computes the resistance (ohms) as a function of potential (volts) and power (watts).
• Resistance (R) = P / I²  : Computes the resistance (ohms) as a function of power (watts) and current (amps).
• Resistance (R) = V / I  : Computes the resistance (ohms) as a function of potential (volts) and current (amps).

Current (amps, milliamps, microamps, gilberts)

• Current (I) = V / R : Computes the current (amps) as a function of potential (volts) and resistance (ohms).
• Current (I) = P / V  : Computes the current (amps) as a function of the power (watts) and the potential (volts).
• Current (I) = √(P/R) : Computes the current (amps) as a function of the power (watts) and the resistance (ohms).