Explain why the reactance offered by an inductor increases with increasing frequency of an alternaitng voltage.

Explanation

Reactance of a capacitor is given by
`X_(C) = (1)/(omega C)`
for DC, `omega = 0 `
`therefore " " X_(C) = infty `
This implies that a capacitor does not allow DC to pass through it, as the resistance across its plates is infinite.
When an alternating voltage is applied across its plates, the capacitor is charged and discharged, alternatley. The current flows through a capacitor as a result of this changing voltage . when the voltage changes at a faster rate (high frequency supply ), the capacitor passes more current. this implies that the reactance offered by a capacitor is decreased with increassing frequency `(X_(C) = 1 // omega C)`.