A 4-ohm resistor is connected in parallel with a 6-ohm resistor. This combination produces an equivalent resistance of
A) 10 ohms.
B) 2.4 ohms.
C) 4 ohms.
D) 5.5 ohms.
E) 5 ohms.

Question

Quizplus · Accepted Answer

The equivalent resistance $R_{eq}$ of resistors in parallel is given by $\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}$. For a 4-ohm and a 6-ohm resistor in parallel, $\frac{1}{R_{eq}} = \frac{1}{4} + \frac{1}{6} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12}$. Therefore, $R_{eq} = \frac{12}{5} = 2.4$ ohms.

A 4-Ohm Resistor Is Connected in Parallel with a 6-Ohm