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The electric power consumed by a

device may be calculated by using either of the two expressions P =

I2R or P = V2/R . The first expression indicates that it
is directly proportional to R where as the second

expression indicates inverse
proportionality. How can the seemingly different dependence of P on R in these

expressions be explained?



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Current is directly proportional to voltage by ohms law.
power is nothing but VI
substitute V=IR if the voltage is constant....you get I2R
substitute I=V/R if the current is constant ...you get V2/R
this is similar to the derivation of the equation of joules law 
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