A 6-Ω resistor, an 8-Ω resistor, and a 24-Ω resistor are connected together. What is the minimum resistance that can be produced using all three resistors?
A)4 Ω
B)(1/24) Ω
C)3 Ω
D)(1/6) Ω
E)7 Ω

Question

Quizplus · Accepted Answer

The minimum resistance is achieved when resistors are connected in parallel. The formula for total resistance in parallel is 1/R_total = 1/R1 + 1/R2 + 1/R3. For the given resistors, 1/R_total = 1/6 + 1/8 + 1/24 = 1/3, so R_total = 3 Ω.

A 6-Ω Resistor, an 8-Ω Resistor, and a 24-Ω Resistor