Explain why the reactance provided by a capacitor to an alternating current decreases with increasing frequency.

Explanation

A capacitor does not allow flow of direct current (DC) through it as the resistance across the gap is infinite. When an alternating current (AC) is applied across the capacitor plate the plate are alternately charged and discharged. The current through the capacitor is a result of this changing voltage (or charge).
Thus, a capacitor will pass more current through it if the voltage is changing at a faster rate, means if the frequency of supply is higher. This implies that the reactance offered by a capacitor is less with increasing frequency.
Mathematically the reactance can be written as,
`X_C=1/(2pivC)`