Question

Three 10 Ω resistors are connected in parallel to a 12-V battery. What is the equivalent resistance of the circuit?
*
1 point
30 ohms
10 volts
9 ohms
3.33 ohms

Answer 1

To find the equivalent resistance \( R_{eq} \) of resistors connected in parallel, you can use the formula:

\[
\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]

For three resistors of 10 Ω each:

\[
\frac{1}{R_{eq}} = \frac{1}{10} + \frac{1}{10} + \frac{1}{10}
\]

Calculating:

\[
\frac{1}{R_{eq}} = \frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}
\]

Thus, the equivalent resistance is:

\[
R_{eq} = \frac{10}{3} \approx 3.33 \, \Omega
\]

So, the equivalent resistance of the circuit is **3.33 ohms**.