Resistors of 20 ?, 40 ? and 60 ? are connected in parallel. The total resistance value will be:
A) 10.9 ?
B) 20.0 ?
C) 60.0 ?
D) 120 ?.

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 resistors of 20 ?, 40 ?, and 60 ?, $\frac{1}{R_{total}} = \frac{1}{20} + \frac{1}{40} + \frac{1}{60}$. Solving this gives $R_{total} \approx 10.9 ?$.

Resistors of 20 ?, 40 ? and 60 ? Are