billrussell42
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
Jim
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.
oubaas
Rt = 2//3//1 = 1/(1/2+1/3+1) = 0.545 ohm (rounded up to 0.55)