3. Pre-lab exercise keep your paper so you can use your work in lab this week. Circuits containing inductors and/or capa

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3 Pre Lab Exercise Keep Your Paper So You Can Use Your Work In Lab This Week Circuits Containing Inductors And Or Capa 1 (102.87 KiB) Viewed 14 times

3. Pre-lab exercise keep your paper so you can use your work in lab this week. Circuits containing inductors and/or capacitors exhibit frequency-dependent behavior, because the impedances of these circuit elements are functions of w. This frequency dependence can be exploited to design filters circuits designed to pass waveforms at some frequencies from an input port to an output port, while blocking waveforms at other frequencies. The “RC filter” circuits below are some of the simplest filters possible. Vi and V. are the voltage phasors at the input and output of the filter: O M. R + + С Vi V. V R M. V. Filter 1 Filter 2 (a) For each filter, express V. in terms of V;. Simplify your expressions so there are no complex numbers in the denominator. (b) For each filter, write V. Vi, the ratio of the output and input phasors, in polar form. (This means finding the magnitude and phase of V. V;.) Save these formulas to plot during lab. (c) For each filter, find the frequency in Hz where the magnitude of V./V; equals 1/2