SOLUTION: Cristina found out that the total electrical resistance of R of two resistors connected in parallel is given by 1/R=1/R1+1/R2. The total resistance is 12.3 ohms. Let 2x-1=R1. A.

Question 570107: Cristina found out that the total electrical resistance of R of two resistors connected in parallel is given by 1/R=1/R1+1/R2. The total resistance is 12.3 ohms. Let 2x-1=R1.
A. Express the second resistance R2 as a function of x.
B. Find R2 if x is : ohms.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
=.
The total resistance is 12.3 ohms. Let 2x-1=R1.
=.
:
A. Express the second resistance R2 as a function of x.
=
Lets simplify things here
Let a = R1 = (2x-1)
Let b = R2
Rewrite the equation to
= + .
Multiply thru by 12.3ab
12.3ab*= 12.3ab* + 12.3ab*
cancel the denominators, results
ab = 12.3b + 12.3a
Get b in terms of a
ab - 12.3b = 12.3a
Factor out b on the left
b(a-12.3) = 12.3a
b =
Replace a with (2x-1), and b with R2
R2 =
:
R2 = ; is R2 in terms of x
:
:
B. Find R2 if x is : ohms. You didn't give any value for x, you can find what that is and substitute it for x in the above, to find R2
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