SOLUTION: In a parallel circuit, the joint resistance is 8 ohms. If one resistor is 12 ohms less than the second resistor, find both resistors.
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Question 39434: In a parallel circuit, the joint resistance is 8 ohms. If one resistor is 12 ohms less than the second resistor, find both resistors.
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
parallel circuit with resistors A and B, then the total resistance is given by R where
so, given our info of one resistor being x and the other being (x-12), we get:
(x-4)(x-24) = 0
so x-4=0 or x-24=0
x=4 or x=24
Now x is not 4 for our resistor problem, since the other resistor would then be 4-12 --> -8. This is physically impossible.
So, the only answer we have is that the resistors are 24 and (24-12) --> 12.
jon.
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