Question 1208650: An electric circuit contains three resistors connected in parallel. If the resistance of each is R_1, R_2, ams R_3 ohms, respectively, their combined resistance R is given by the formula
1/R = (1/R_1) + (1/R_2) + (1/R_3)
A. Express R as a rational expression.
B. Evaluate R for R_1 = 5 ohms, R_2 = 4 ohms, and R_3 = 10 ohms
Let me see.
I think for A, I need to solve for R. If so, I will use a for R_1, b for R_2, and c for R_3 for easy cell phone typing.
1/R = 1/a + 1/b + 1/c
After much effort on paper, solving for R leads me to
R = (abc)/(bc + ac + ab).
Is this correct? If so, part B is just plug and chug.
You say?
Answer by Shin123(626)   (Show Source):
You can put this solution on YOUR website! Hi, for a), you did it correctly. Just make sure to plug back in R_1, R_2, and R_3 for a, b, and c in the final expression. Part b) shouldn't be too hard since you have that already.
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