One application of L-R-C series circuits is to high-pass or low-pass filters, which filter out either the low-or high-frequency components of a signal. A high-pass filler is shown in Figure. where the output voltage is taken across the L-R combination. The L-R combination represents an inductive coil that also has resistance due to the large length of wire in the coil.) Derive an expression for Vout/Vs, the ratio of the output and source voltage amplitude, as a function of angular frequency ω of the source. Show that when ω is small, this ratio is proportional to ω and thus is small, and show that the ratio approach unity in the limit of large frequency.
