Assignment 5

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Embry-Riddle Aeronautical University *

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313

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Electrical Engineering

Date

Dec 6, 2023

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pdf

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2

Uploaded by MasterEel3825

8.6 Design a simple passive low-pass filter with a corner frequency of 50 Hz. You may assume that a 0.01 μF capacitor is available. Assume standard resistor sizes are available.9 What would be the resistor value that best approximates this filter? With your selection of this resistor value, recalculate the corner frequency and determine the percent difference from the original specification. In addition, draw the bode plot of the filter using MATLAB or a similar tool. ? 𝑐 = 1 2𝜋𝑅𝐶 𝑅 = 1 2𝜋𝑓 𝑐 𝐶 = 1 2𝜋(50).01𝜇 = 318.3 𝑘Ω, standard size available is 330 kΩ New value for corner frequency ? 𝑐 = 1 2𝜋(330 𝑘). 01𝜇 ? 𝑐 = 48.23 𝐻𝑧 % ?𝑟𝑟𝑜𝑟 = | 50−48.33 50 | = 3.54%
8.7 Design a simple passive high-pass filter with a corner frequency of 100 Hz. You may assume that a 0.01- μF capacitor is available. What would be the resistor value that best approximates this filter? With your selection of the resistor value, recalculate the corner frequency and determine the percent difference from the original specification. In addition, draw the bode plot of the filter using MATLAB. ? 𝑐 = 1 2𝜋𝑅𝐶 𝑅 = 1 2𝜋𝑓 𝑐 𝐶 = 1 2𝜋(100).01𝜇 = 159.155 𝑘Ω, standard size available is 160 kΩ New value for corner frequency ? 𝑐 = 1 2𝜋(160𝑘). 01𝜇 ? 𝑐 = 99.47 𝐻𝑧 % ?𝑟𝑟𝑜𝑟 = | 100−99.47 100 | = .528%
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