ESET 350 Homework 9 Fall 2019 PDF

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Download ESET 350 Homework 9 Fall 2019 PDF

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f)

Given the following input signal: 𝑣 󰇛𝑡󰇜  1.0 sin2𝜋𝑓𝑡 + 0°  Complete the table below for the given frequencies f (Hz)

Gain |𝐻󰇛𝑗𝜔󰇜| (V/V)

Phase shift 𝜙󰇛𝜔󰇜 (degrees)

Output signal 𝑣 󰇛𝑡󰇜

30 300 3,000 30,000

g) Sketch |𝐻󰇛𝑗𝑤󰇜| in dB using the values in the table from part f). Use a semilog x axis (so that the frequency points are equally spaced, even though they are changing by a factor of 10). What is the slow in dB / decade?

f)

Given the following input signal: 𝑣 󰇛𝑡󰇜  1.0 sin2𝜋𝑓𝑡 + 0°  Complete the table below for the given frequencies f (Hz) Gain Gain Phase shift |𝐻󰇛𝑗𝜔󰇜| |𝐻󰇛𝑗𝜔󰇜| 𝜙󰇛𝜔󰇜 (degrees) (V/V) (dB) 100

Output signal 𝑣 󰇛𝑡󰇜

1,000 5,000 10,000 100,000

g) Sketch a Bode plot of |𝐻󰇛𝑗𝑤 󰇜| in dB using the values in the table from part f). Use a semilog x axis. What is the rolloff (slope) in dB / decade in the stop band?

4. Design a first order active inverting highpass filter with a desired cutoff frequency of 400 Hz and a passband gain of 9 dB. Use an 18 nF capacitor. Use standard ±5% resistor values. a. Draw the circuit, labeling vi, vo, and all component values. b. Find the magnitude and phase transfer functions (start from the nodal equations). c. Find the actual cutoff frequency and passband gain based on the resistor values chosen. d. What is the phase shift through the filter at a frequency of 10 Hz, 100 Hz and 1000 Hz? e. What is the gain at 60 Hz, in dB?

f.

Plot the magnitude of the transfer function in dB, from 10 Hz to 100 kHz. Use a semi-log x axis (a Bode plot).

f.

Plot the magnitude of the transfer function in dB, from 10 Hz to 100 kHz. Use a semi-log x axis (this is a Bode plot).

6. A 3rd order active high pass filter is implemented using three inverting filter stages which each, by themselves, have a 3-dB cutoff frequency of 1000 Hz. When the three are connected in series, the cutoff frequency shifts. Find the cutoff frequency of the combined filter. Design and draw a 3-stage filter with 0 dB total gain using only 18 k resistors....