SOLUTION: The current in a wire varies directly as the voltage and inversely as the resistance. What happens to the current when the voltage triples and the resistance is doubled?

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Question 183399This question is from textbook Elementary and Intermediate Algebra
: The current in a wire varies directly as the voltage and inversely as the resistance. What happens to the current when the voltage triples and the resistance is doubled? This question is from textbook Elementary and Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let C=current, V=voltage, and R=resistance

So "The current in a wire varies directly as the voltage and inversely as the resistance" translates to C=k%28V%2FR%29


C=k%28V%2FR%29 Start with the given equation


C%5B1%5D=k%283V%2FR%29 Triple the voltage by replacing "V" with 3V. Note: the current is now different


C%5B1%5D=k%283V%2F2R%29 Double the resistance by replacing "R" with 2R. Note: the current is now different


C%5B1%5D=%283%2F2%29k%28V%2FR%29 Rearrange the terms.


Notice how k%28V%2FR%29 is the original expression. So we can say that the new current C%5B1%5D is now

C%5B1%5D=%283%2F2%29C

So when the voltage triples and the resistance is doubled, the current is multiplied by 3%2F2 or 1.5