Four 12 $\Omega$ resistors are connected together.What is the least resistance that can be attained with these resistors?
A) 12 $\Omega$
B) 6.0 $\Omega$
C) 3.0 $\Omega$
D) 2.0 $\Omega$
E) 1.0 $\Omega$

Question

Quizplus · Accepted Answer

The least resistance that can be attained with resistors connected in parallel is always less than the smallest resistance value of the individual resistors. In this case, since all four resistors are of the same value, the equivalent resistance would be the same as if there were only one resistor. Thus, the least resistance that can be attained is 12/4 F1F1F1S1F1F1F10, which simplifies to 3.0 F1F1F1S1F1F1F10. Therefore, the correct choice is C.

Four 12 Ω\OmegaΩ Resistors Are Connected Together Ω\OmegaΩ B) 60 Ω\OmegaΩ C) 30 Ω\OmegaΩ

Four 12 $\Omega$ Resistors Are Connected Together $\Omega$ B) 60 $\Omega$ C) 30 $\Omega$