Step 1: State Ohm's Law. The formula for current \( I \) given voltage \( V \) and resistance \( R \) is \( I = \frac{V}{R} \). This represents the original current. Step 2: Define new parameters. The new voltage is \( V' = \frac{V}{2} \), and the new resistance is \( R' = 2R \). Step 3: Calculate the new current. Substituting the new values into Ohm's Law yields \( I' = \frac{V'}{R'} = \frac{V/2}{2R} = \frac{V}{4R} \). Step 4: Relate new to original current. Comparing \( I' \) with the original current \( I \), we find \( I' = \frac{I}{4} \). Therefore, the new current is one-fourth of the original current.