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 resistance 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

Question

Mathematics

Monroe

25 January, 11:42

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 resistance 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

+4

Answers (1)

Know the Answer?

Waylon Baxter · Answer 1

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.

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 resistance r1 if the total resistance is 20 ohms and r2 is 75 ohms round your answer to the nearest ohms if neccesarya. 16 ohmsb. 1405 ohmsc. 27 ohmsd. 102 ohms

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 resistance 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