SOLUTION: Science and Medicine. The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula. Rt= 1 1/r1 + 1/r2 simplify the formula

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Science and Medicine. The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula. Rt= 1 1/r1 + 1/r2 simplify the formula      Log On


   

Question 79598: Science and Medicine. The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula.
Rt= 1
1/r1 + 1/r2 simplify the formula
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
R%5Bt%5D+=+1%2Fr%5B1%5D+%2B+1%2Fr%5B2%5D Add the fractions as you would add any other fractions with unlike denominators.
Find a commom denominator. Here, it would be %28r%5B1%5D%29%2A%28r%5B2%5D%29
Then, here, multiply the first fraction by r%5B2%5D%2Fr%5B2%5D and the second fraction by r%5B1%5D%2Fr%5B1%5D
R%5Bt%5D+=+r%5B2%5D%2Fr%5B1%5Dr%5B2%5D+%2B+r%5B1%5D%2Fr%5B1%5Dr%5B2%5D Now you can add the fractions because they have a common denominator.
R%5Bt%5D+=+%28r%5B1%5D%2Br%5B2%5D%29%2Fr%5B1%5Dr%5B2%5D