\text{We use the formula:} &amp;&amp; I = \frac{V}{R} \\\\\text{Plug in the known values:} &amp;&amp; I = 2 \ A, V = 12 \ V: \qquad \qquad 2 = \frac{12}{R} \\\\\text{Multiply both sides by} \ R: &amp;&amp; 2R = 12 \\\\\text{Divide both sides by}\ 2: &amp;&amp; R = 6 \Omega \quad \mathbf{Answer}