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.
For dc, impedance of L is negligible and of C very high (infinite),so the dc signal appears across C. For high frequency ac,impedance of L is high and that of C is low. So, the ac signal appears across L.