What is the total resistance of the circuit below?

a. 0.23 Ohms
b. 0.55 Ohms
c. 2.68 Ohms
d. 1.83 Ohms

billrussell422021-03-30T18:05:05Z

Favorite Answer

1/R = 1/2 + 1/3 + 1/1
1/R = 0.5 + 0.333 + 1 = 1.833
R = 1/1.833 = 0.545 Ω

or
1/R = 3/6 + 2/6 + 6/6 = 11/6
R = 6/11 = 0.545  Ω

Jim2021-03-30T18:12:05Z

Here's a test-taking skill, especially if you have limited time!
Parallel is ALWAYS lower than the lowest Resistor, so that eliminates C & D
Estimate with the resistors shown is 1/2 Ω, so a quick guess would be B. 0.55 Ohms, but this only works if the answers have widely spread answers (not 0.5, 0.52, 0.55).
Other people gave you the actual number, I wanted to give you another skill.

oubaas2021-03-30T18:03:50Z

Rt = 2//3//1 = 1/(1/2+1/3+1) = 0.545 ohm (rounded up to 0.55)