SOLUTION: This word problem consists of combining resistance of two resistors R^1 and R^2 in a parallel circuit is given by the formula R^T=1/[1/R^1+1/R^2] this is asking to simplify t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This word problem consists of combining resistance of two resistors R^1 and R^2 in a parallel circuit is given by the formula R^T=1/[1/R^1+1/R^2] this is asking to simplify t      Log On


   



Question 85641This question is from textbook algebra
: This word problem consists of combining resistance of two resistors
R^1 and R^2 in a parallel circuit is given by the formula
R^T=1/[1/R^1+1/R^2]
this is asking to simplify the formula
not sure how to do this a little lost.
This question is from textbook algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
RT=1/[(1/R1)+(1/R2)]
Words: Total Resistance of two resistences (R1 and R2) = the inverse of the sum of the inverse of two resistences.
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The common denominator of the denominator is R1R2
Then:
RT =1/{[R1+R2]/[R1R2]}
Invert to get:
RT = (R1R2]/[R1+R2]
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Cheers,
Stan H.