# Step-by-Step Solution: Equivalent Resistance *Note: Since the figure is referenced as "\geoquad X" but not shown, I’ll assume a common arrangement for these types of problems: **three resistors in parallel, each of value \( R \)**. If your arrangement is different (series, a mix, etc.), please specify.* ## Given - Each resistor: \( R = 8.00\,\Omega \) - Voltage: \( \Delta V = 11.\,\text{V} \) (not needed for part (a)) --- ## (a) Equivalent Resistance for Three Parallel Resistors If three resistors of equal value \( R \) are in parallel, the equivalent resistance \( R_{\text{eq}} \) is: \[ \frac{1}{R_{\text{eq}}} = \frac{1}{R} + \frac{1}{R} + \frac{1}{R} \] \[ \frac{1}{R_{\text{eq}}} = \frac{3}{R} \] \[ R_{\text{eq}} = \frac{R}{3} \] Plug in \( R = 8.00\,\Omega \): \[ R_{\text{eq}} = \frac{8.00\,\Omega}{3} = 2.67\,\Omega \] --- ## Final Answer \[ \boxed{R_{\text{eq}} = 2.67\,\Omega} \] --- ### Notes - If the configuration is not three resistors in parallel, please provide details or an image for a more specific answer. - If you are within 10% of the correct value, ensure you are using the correct number of resistors and arrangement as in your figure. Double-check your calculation steps and the arrangement (series or parallel).