How to convert Amps to Ohms

How to convert electric current in amps (A) to resistance in ohms (Ω).

It is possible to calculate ohms from amps and volts or watts, but you can't convert amps to ohms since ohm and amp units represent different quantities.

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Amps to ohms calculation with volts

The resistance R in ohms (Ω) is equal to the voltage V in volts (V), divided by the current I in amps (A):

R_(Ω) = V_(V) / I_(A)

So

Ohms = Volt / Amps

or

Ω = V / A

Example

Find the resistance of an electrical circuit that has voltage supply of 12 volts and current flow of 0.3 amps.

The resistance R is equal to 12 volts divided by 0.3 amps:

R = 12V / 0.3A = 40Ω

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Amps to ohms calculation with watts

The resistance R in ohms (Ω) is equal to the power P in watts (W), divided by the square value of the current I in amps (A):

R_(Ω) = P_(W) / I_(A)²

So

Ohms = Watts / Amps²

or

Ω = W / A²

Example

Find the resistance of an electrical circuit that has a power consumption of 30 watts and current flow of 0.5 amps.

The resistance R is equal to 30 wattts divided by the squared value of 0.5 amps:

R = 30W / 0.5A² = 120Ω

Ohms to Amps ►

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