SOLUTION: The current (I) in an electric circuit is inversely proportional to the resistance (R). If the resistance is 8 ohms when the current is 0.25 ampere, find the resistance when the cu

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Question 1173917: The current (I) in an electric circuit is inversely proportional to the resistance (R). If the resistance is 8 ohms when the current is 0.25 ampere, find the resistance when the current is 1.2 amperes. (Round your answer to two decimal places.)
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!


To solve this problem, one needs to assume the applied voltage is constant, or the voltage drop across the resistance to be measured is constant while the resistance varies. Because a LINEAR circuit would not behave this way, you should NOTE that this implies the circuit is non-linear (contains digitial logic, diodes, transistors, or other nonlinear components):

I = V/R

where
I = current in Amperes
V = voltage in Volts
R = resistance in Ohms

We can find the applied voltage from the given data:
0.25 = V/8
V = 2 Volts

R = V/I = 2/1.2 = 1.67 ohms

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