Parallel Resistance

[k.rotelli]

Two conductors in series have a total resistance of 90 Ohm; in parallel, their total resistance is 20 Ohm. What are the resistances R1 and R2 of the two conductors?

A: 70 Ohm and 20 Ohm
B: 45 Ohm and 45 Ohm
C: 60 Ohm and 30 Ohm
D: 50 Ohm and 40 Ohm
E: 55 Ohm and 35 Ohm

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[Juliette]

Hi!

R1 + R2 = 90
1/Req = 1/R1 + 1/R2 = 20
Note: 1/(1/Req) = Req

60 + 30 = 90

1/60 + 1/30 = 3/60
1/(3/60) = 60/3 = 20

Hope this helps!