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

Algebra ->  Equations -> 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      Log On


   



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) About Me  (Show Source):
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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