An applied voltage signal consists of a superposition of a dc voltage and an ac voltage of high frequency. The circuit consists of an inductor and a capacitor in series. Show that the dc signal will appear across C and the ac signal across L.

Explanation

Inductive reactance is
`X_(L ) = 2pi f L rArr X_(L) prop f `
Capacitive reactance is
`X_(C ) = ( 1)/( 2pi fC ) rArr C_(C ) prop (1)/(f)`
For dc signal, `f=-0 rArr X_(C ) = oo rArr dc` can not pass through capacitor and so dc signal will appear across C.
For ac signal of very high frequency , `f rarr oo rArr X_(L) rarr oo rArr` such ac can not pass through an inductor and so very high frequency ac signal will appear across L.