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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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Answer» Solution :Inductive reactance is `X_(L ) = 2pi f LrArr 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 notpass 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 highfrequency ac signal will appear across L. |
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