A 4-ohm and 6-ohm resistor connected in parallel have an equivalent resistance of
A)2.4 ohms.
B)4 ohms.
C)5 ohms.
D)5.5 ohms.
E)10 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 6-ohm resistor, it is $\frac{1}{R_{eq}} = \frac{1}{4} + \frac{1}{6} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12}$. Thus, $R_{eq} = \frac{12}{5} = 2.4$ ohms.

A 4-Ohm and 6-Ohm Resistor Connected in Parallel Have an Equivalent