The power P is equal to the voltage V times the current I:
P = V * I
The current I is equal to the voltage V divided by the resistance R (ohm's law)
I = V / R
Therefore the power P is equal to:
P = V * V / R = V 2 / R
Therefore the resistance R in ohms (Ω) is equal to the square value of voltage V in volts (V) divided by the power P in watts (W):
R(Ω) = V 2(V) / P(W)
Therefore ohms are equal to the square value of volts divided by watts:
Ohms = Volts2 / Watts
Ω = V2 / w
Find the resistance in ohms of a resistor given a voltage of 5 volts and a power of 2 watts.
The resistance R is equal to the square of 5 volts divided by 2 watts which is equal to 12.5 ohms.
R = (5V)2 / 2W = 12.5Ω
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