What is the overall effect of a change in resistance on the power?
According to P = V^2/R, increasing the resistance decreases the power. This intuitively makes sense. If we hold voltage constant and increase the resistance, less current is supplied to the load and power decreases.
But, according to P = I^2R, increases the resistance increases power. Funny thing that this also can be rationalized. We hold current constant and increase the resistance. This increase the voltage, and thus power.
W/o knowing what to hold constant, can we identify whether power increases or decreases?

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