As the voltage across a capacitor increases, what happens to the current flowing through the circuit?

When analyzing the behavior of a capacitor in relation to voltage and current, it's essential to understand the principles of capacitance and how capacitors store electrical energy. As voltage across a capacitor increases, the current flowing through the circuit initially flows into the capacitor to charge it. However, as the capacitor charges, the rate of current flow decreases.

Specifically, when connected to a DC circuit, a capacitor will draw a current that decreases exponentially as it becomes charged. This is due to the nature of the voltage-current relationship in capacitors, where the current is proportional to the rate of change of voltage across them. As the voltage approaches a maximum level, the difference in voltage between the capacitor and the power supply narrows, resulting in a decrease in the charging current until it essentially ceases when the capacitor is fully charged.

Thus, the understanding that as the voltage increases across a capacitor, the current flowing through the circuit decreases and continues to decrease until it reaches zero upon reaching the fully charged state is what makes the selected answer accurate. This reflects the fundamental behavior of capacitors in electrical circuits, particularly under steady-state conditions.