Four resistors having values of 10 ohms, 20 ohms, 25 ohms, and 100 ohms are connected in parallel. What is the total resistance in ohms?
A) 5
B) 10
C) 20
D) 50

Question

Quizplus · Accepted Answer

The total resistance $R_{total}$ for resistors in parallel is given by $\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4}$. Plugging in the given values, $\frac{1}{R_{total}} = \frac{1}{10} + \frac{1}{20} + \frac{1}{25} + \frac{1}{100}$, which simplifies to $\frac{1}{R_{total}} = 0.2$, so $R_{total} = 5$ ohms.

Four Resistors Having Values of 10 Ohms, 20 Ohms, 25