Question

Resistors $R_1$ and $R_2$ are placed in parallel as shown. If they have values of $5 \, \Omega$ and $10 \, \Omega$ respectively, their combined equivalent resistance is:

• A. 0.032
• B. 0.32
• C. 3.022
• D. 3.312

Hint:

When resistors are in parallel, the equivalent resistance is always less than the smallest individual resistor value.

Answer 1

The Correct Option is D

The equivalent resistance for parallel resistors is given by: \[ \frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} \] Substituting the values: \[ \frac{1}{R_{\text{eq}}} = \frac{1}{5} + \frac{1}{10} = \frac{2}{10} = 0.32 \] Therefore, $R_{\text{eq}} = 3.312 \, \Omega$.