If R is the total resistance for a parallel circuit with two resistors of resistances of r1 and r2 then 1/r=1/r1+1/r2 find the r esistance r1 if the total resistance is 20 ohms and r2 is 75 ohms round your answer to the nearest ohms if neccesary a.16 ohms
b.1405 ohms
c.27 ohms
d.102 ohms
2 answers:
A little Algebra, and we're home free! We are given R = 20 and r2 = 75. We need to find r1. The formula is 1/R = 1/r1 + 1/r2. Plug-in: 1/20 = 1/r1 + 1/75 1/20 - 1/75 = 1/r1 0.0366 = 1/r1 r1 = 1/0.03666 r1 = 27.272 Our answer is r1 = 27 ohms.
Answer:
The correct answer is c.
Step-by-step explanation:
- The first step is to get the variable for alone on one side.
Pass the term to subtract to the left side.
Pass the term to divide to the right side and pass the term to multiply to the left side.
- The second step is to replace the values of and into the previous expression.
- The third step is to perform the operations to simplify the expression.
As it is necessary to round the answer, the value of is .
Thus, the correct answer is c.
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