Using a large capacitor across a home outlet can potentially blow a fuse due to the capacitor's reactance to alternating current (AC). In an AC circuit, the capacitor charges and discharges as the current alternates, leading to a specific reactance that behaves similarly to resistance in direct current (DC). The formula for reactance indicates that increasing the capacitance can increase the current, which could exceed the fuse rating, typically around 5 A. Calculating the necessary capacitance to reach this current level is essential to avoid electrical issues. Overall, caution is advised when experimenting with capacitors in home electrical systems.