What is the total resistance of a 3 kΩ, 4 kΩ, and 12 kΩ resistors that are in parallel with each other?
A) 6.3 kΩ
B) 19 kΩ
C) 2 kΩ
D) 1.5 kΩ

Question

Quizplus · Accepted Answer

The total resistance $R_{total}$ of resistors in parallel is given by $\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$. For 3 kΩ, 4 kΩ, and 12 kΩ resistors, this calculation is $\frac{1}{R_{total}} = \frac{1}{3000} + \frac{1}{4000} + \frac{1}{12000} = \frac{1}{1500}$, so $R_{total} = 1.5$ kΩ.

What Is the Total Resistance of a 3 KΩ, 4