SOLUTION: The total resistance, R, in a parallel circuit with three resistances, R1, R2, and R3, is given by the formula 1 over R equals 1 over R subscript 1 plus 1 over R subscript 2 plu

Algebra ->  Equations -> SOLUTION: The total resistance, R, in a parallel circuit with three resistances, R1, R2, and R3, is given by the formula 1 over R equals 1 over R subscript 1 plus 1 over R subscript 2 plu      Log On


   

Question 1144563: The total resistance, R, in a parallel circuit with three resistances, R1, R2, and R3, is given by the formula
1 over R equals 1 over R subscript 1 plus 1 over R subscript 2 plus 1 over R subscript 3
Simplify the right-hand side of the equation.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The total resistance, R, in a parallel circuit with three resistances, R1, R2, and R3, is given by the formula
1 over R equals 1 over R subscript 1 plus 1 over R subscript 2 plus 1 over R subscript 3
Simplify the right-hand side of the equation.
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1%2FR+=+1%2FR1+%2B+1%2FR2+%2B+1%2FR3
DEN = R1*R2*R3
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1%2FR+=+%28R2%2BR3%29%2FDEN+%2B+%28R1%2BR3%29%2FDEN+%2B+%28R1%2BR2%29%2FDEN
1/R = 2(R1 + R2 + R3)/DEN
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I recommend doing theM 2 at a time:
For R1 & R2:
R4 = R1*R2/(R1+R2)
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Then, R = R4*R3/(R4+R3)