Jason's circuit has a 24-$\varOmega$ resistor that is connected in series to two 12-$\varOmega$ resistors that are connected in parallel. JoAnna's circuit has three identical resistors wired in parallel. If the equivalent resistance of Jason's circuit is the same as that of JoAnna's circuit, determine the value of JoAnna's resistors.
A)90 $\varOmega$
B)48 $\varOmega$
C)30 $\varOmega$
D)24 $\varOmega$
E)12 $\varOmega$

Question

Quizplus · Accepted Answer

The equivalent resistance of Jason's circuit is 16 $\varOmega$. Since JoAnna's circuit has three identical resistors in parallel, the equivalent resistance of her circuit is also 16 $\varOmega$. Therefore, the value of each of JoAnna's resistors is 48 $\varOmega$.

Jason's Circuit Has a 24- Ω\varOmegaΩ Resistor That Is Connected in Series to Two 12-

Jason's Circuit Has a 24- $\varOmega$ Resistor That Is Connected in Series to Two 12-