Question

Analyals and Deaign of High-Pass Filters O 5o 14 > I Review I Corstante Learning Goal: To analyze and design a passive, first-order high-pass titer using a series RC arcuit. • Part A-Qualtative analysis of a series RC low-pess fiher An instrument nceds to detect penodio signals ot approximately 5O00 Hz. The instrument operates in an environment with a lot ot periodic noise ranging trom a few to several hundrod hertz. Ahigh-pass RC titer can be bult using avalable 2.5 F capactors: resistore of any neceesary value are also gvailable Belore designing the liter, one muet underetand the reletionshp between the outcut voltage of the circuit and fhe frecuency. For a series RC circuit how do the impedances of the cirauit elements charce with trequenoy? Select the correct anewer. • View Available Hint(a) The magnituda at the Impadanoe of the resistor is incependent of tha troquoncy; the magnitude ot the impodance of the capactor deareases when the trocLCrcy incroases. O The magnituda af the impadance of the esistor inereasas whan tha trequency increases; the magnituda af the impadance of the cspacihor decreases whan the froquency incroases. O The magnituda af the impadance of the resistor inereasAs whan tha trecuency increases; the magnituda af the impedance of the cspacihor is indepandant of the frequeney. O The magnitude of the impedance of the resistor is independent of the frecuency: he magnitude of The impedance of the capacitor increases when the frequency increases O Both impedance magnitudes are independent ol the frequency Submit • Part B- Designing and analyzing a series RC high-pass filter Using the avalable 2.6 uF capantor, what is the value of the resistar noodod to make a high pass fiter with a cutoff froquanay at 2200 Hz? Express your answer to three significant figures and include appropriate units. View Available Hint(s) undu redo fedet keyboard shortcuts hep Templales Symbels Value Units R-

Answer 1

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= 5000 Hz 10T radisee %3D 4 400 IT Iмjbel = 0.4027 %3D N(109 7²+ (44001) :- "gnltide f autput eltage at w-10 ste e iotsec > |Vout (50004,)| = Vm X 1x 0.4027 IVour ( 50oMH.) = O4027 volt Answer.