SOLUTION: Complex Rational Expressions. Science and Medicine. The combined resistance of two resistors R1 amd R2 in a parallel circuit is given by the formula: Rr=1/((1/r1)+(1/r2))

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Complex Rational Expressions. Science and Medicine. The combined resistance of two resistors R1 amd R2 in a parallel circuit is given by the formula: Rr=1/((1/r1)+(1/r2))       Log On


   

Question 107306This question is from textbook Beginning Algebra
: Complex Rational Expressions.
Science and Medicine. The combined resistance of two resistors R1 amd R2 in a parallel circuit is given by the formula:
Rr=1/((1/r1)+(1/r2))
Simplify the formula.
NOTE: The R1 and R2 are supposed to look like exponents that are to the bottom right of the "R" versus the traditional exponent where they are usually inicated with ^ symbol. I couldn't find a reverse of ^, which is why they are represented the way they are in the equation.
If you could, please provide a detailed explanation of what it is you are doing, so that I can comprehend. I understand the basics of complex fractions, but got really lost with this. Thank you. This question is from textbook Beginning Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
R%5Bt%5D+=+1%2F%28%281%2FR%5B1%5D%29%2B%281%2FR%5B2%5D%29%29 Add the fractions in the denominator using the LCD of (R%5B1%5D%2AR%5B2%5D)
R%5Bt%5D+=+1%2F%28%28R%5B1%5D%2BR%5B2%5D%29%2F%28R%5B1%5D%2AR%5B2%5D%29%29 Now divide the numerator (that's the 1) by the denominator. Remember when you divide by a fraction, you invert the fraction and multiply.
R%5Bt%5D+=+%28R%5B1%5D%2AR%5B2%5D%29%2F%28R%5B1%5D%2BR%5B2%5D%29 This is the the formula for the combined resistance of two resistors connected in parallel.