V = I x R -- Voltage (V) as a function of Resistance (R) is Linear; however, Current (I) as a function of Resistance is not Linear -- why?

algebra-precalculus physics

Solution 1:

The relationship between Voltage and Resistance is linear (if you consider current to be constant), whether you are expressing V in terms of R, or R in terms of V.

The relationship between Current and Resistance in inverse (if you consider voltage to be constant), whether you are expressing I in term of R, or R in terms of I.

You got confused because you changed which pair of variables you were considering the relationship between: from V and R to I and R.

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