Explanation: When a constant voltage is applied across a resistance, the power dissipated is described by the formula P = V²/R, where P is power, V is voltage, and R is resistance. In this scenario, V remains constant. If the resistance (R) is halved, the new resistance becomes R/2. Substituting this into the formula: P_new = V² / (R/2) P_new = 2 * (V²/R) Since V²/R is the original power (P_original), the new power dissipation (P_new) is twice the original power. Therefore, the power dissipation will double. This demonstrates an inverse relationship between power and resistance when voltage is constant.