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Answer the following question. An applied voltage signal consists of a superposition of a voltage and an ac voltage of high frequency. The circuit consists of an inductor and a capacitor in series.

Q 7.22 (c)  Answer the following questions:

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.

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For a high frequency, the inductive reactance and capacitive reactance:

X_L=wL=Large \:value\: And \:X_C = \frac{1}{wC}=Very\:small 

Hence the capacitor does not offer resistance to a higher frequency, so the ac voltage appears across L.

Similarly

For DC, the inductive reactance and capacitive reactance:

X_L=wL=Very\:small\: And \:X_C = \frac{1}{wC}=Large \:value

Hence DC signal appears across Capacitor only.

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