three resistors, of 100, 200, and 300 ohms are connected in parallel. what is their equivalent resistance…

Explanation:

Step1: Recall parallel - resistance formula

The formula for the equivalent resistance $R_{eq}$ of resistors in parallel is $\frac{1}{R_{eq}}=\sum_{i = 1}^{n}\frac{1}{R_i}$. Here, $R_1 = 100\Omega$, $R_2=200\Omega$, and $R_3 = 300\Omega$. So, $\frac{1}{R_{eq}}=\frac{1}{100}+\frac{1}{200}+\frac{1}{300}$.

Step2: Find a common denominator

The common denominator of 100, 200, and 300 is 600. Then $\frac{1}{100}+\frac{1}{200}+\frac{1}{300}=\frac{6}{600}+\frac{3}{600}+\frac{2}{600}=\frac{6 + 3+2}{600}=\frac{11}{600}$.

Step3: Solve for $R_{eq}$

Since $\frac{1}{R_{eq}}=\frac{11}{600}$, then $R_{eq}=\frac{600}{11}\approx54.55\Omega$.

Answer:

$\frac{600}{11}\text{ ohms}$