SOLUTION: If the voltage, V, is an electric circuit is held constant, the current, I , is inversely proportional to the resistance, R. If the current is 420 milliamperes when the resistance

Question 1055343: If the voltage, V, is an electric circuit is held constant, the current, I , is inversely proportional to the resistance, R. If the current is 420 milliamperes when the resistance is 4 ohms, find the current when the resistance is 14 ohms.

My work was V=I*R, where 4/420 = 14/x, followed by cross multiplying to recieve 14(420) = 14x, ending up with a current of 420. I suspect this is wrong on my part, though I know this problem deals with variation, or this one being Inverse Variation where y=k/x.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
V1=I1*R1
V1=I2*R2, because the voltage is held constant
therefore, I1*R1=I2*R2
or
420*4=I2*14
(420)*(4/14)=120 ma.
If you write it differently, using I=V/R, then you have current inversely proportional to resistance or vice versa.
It can be set up with k, but the above way to me is easier. The check is qualitative, and that is the current is less with more resistance, which one would expect. Qualitatively, the resistance more than triples, so the current should be less than about 1/3, which it is.
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