Question

The circuit of Figure P6. 69 acts as an active low-pass filter. a. Derive the relationship between output amplitude and input amplitude. b. Derive the relationship between output phase angle and input phase angle. 

    The circuit of Figure P6. 69 acts as an active low-pass filter.
a. Derive the relationship between output amplitude and input amplitude.
b. Derive the relationship between output phase angle and input phase angle.
Principles and Applications of Electrical Engineering
Principles and Applications of Electrical Engineering
Giorgio Rizzoni,… 7th Edition
Chapter 6, Problem 69 ↓
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The circuit of Figure P6. 69 acts as an active low-pass filter. a. Derive the relationship between output amplitude and input amplitude. b. Derive the relationship between output phase angle and input phase angle.
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00:01 So, reactance for inductor is given by xl equal 2 pi fl, reactance for capacitor equal 1 by 1 by 2 pi fc, and impedance equal xl minus xc, and i equal v input upon z, and v output equal i xl.
00:33 Upon v input, upon v input, equal xl by z and at, at very, at very high frequency, high frequency, at very high frequency, z equal x l, because, because at very high frequency, xc become very, very low.
01:04 So, v out by v -in equal xl in place of z, we will put xl equal 1...
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