SOLUTION: The brackets may have confused in the previous version of the question I submitted.
This a question for solving electrical resistance in a parallel circuit. The formula is 1/Rt
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Question 200529: The brackets may have confused in the previous version of the question I submitted.
This a question for solving electrical resistance in a parallel circuit. The formula is 1/Rt = 1/R1 + 1/R2 +1/R3 + 1/Rn.
Rt represents total resistance the other fractions are separate branch resistances.
1/Rt= 1/12 + 1/15 + 1/5
Rt=?
Thank you
Found 2 solutions by solver91311, jim_thompson5910:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Just add the fractions like any other fractions. Find the lowest common denominator, convert each of the three fractions, then add the numerators.
And 
only has the factor
So, you need two 2s, one 3, and one 5 as factors for your LCD.
So:
\left(\frac{5}{5}\right) + \left(\frac{1}{15}\right)\left(\frac{4}{4}\right) + \left(\frac{1}{5}\right)\left(\frac{12}{12}\right) = \frac{5}{60}+\frac{4}{60}+\frac{12}{60} = \frac{21}{60} = \frac{7}{20})
Therefore
Just a little less than 3.
By the way, your general formula should be represented thus:
indicating an indefinite number of terms.
John
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.
Multiply EVERY term by the LCD to clear out the fractions.
Multiply and simplify
Combine like terms.
Divide both sides by 21 to isolate .
Rearrange the equation.
Reduce
Approximate the right side
So the total resistance is approximately 2.8571 ohms (assuming that's the unit you're working with).
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