A low pass filter is made using a 50 pF capacitor and a 6 kΩ resistor



The frequency at which the output voltage is 0.707 times the Input voltage ,is called the cut of frequency.
From the circuit ,By voltage division Rule:

if we put





so
so putting all the values in Equation(i)

Attenuation is defined as the loss of input signal in the transmission



So using equation (i)
So

at f=50kHz
Note:
the base of the log is 10.
A low pass filter is made using a 50 pF capacitor and a 6 kΩ resistor...
2. A high pass filter is built using a 5k resistor and 200 pF capacitor. a. Draw the circuit b. Calculate the time constant for the circuit c. What is the critical frequency (in rad/s) for the circuit? d. What is the critical frequency (in Hz) for the circuit? e. What is the attenuation for a 30 kHz signal? f. What is the attenuation for a 300 kHz signal? g. What is the 30 kHz attenuation in dB?
Using the windowing functions discussed in class, design a
low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum
stop band attenuation of 40 dB, and a transition width of 200Hz.
The sampling frequency is 10kHz.
1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
a) Design a low-pass filter using the given circuitry with a cut-off value of 1 kHz and plot the frequency response curve on the given axes 1.0 0.7 0.5 in out 0.0 101 102 103 104 10s Hz b) Design a band-pass filter using the given circuitry with a bandwidth of 500 Hz and a lower cut-off value of 100 Hz, and draw the frequency response curve. Keep all resistors at the same value (i.e. Ri-R-R3-R4). 1.0 0.7 0.5 0.0...
a) Insert a resistor R3 in series with the feedback capacitor C in the low pass filter of class. Draw the modified circuit. b) Derive the resulting transfer function. Simplify to the point that the pole and zero coefficients are apparent. c) Plot the transfer function with a DC gain of 0 dB. What is the value of the magnitude (in dB) at the frequency of the pole? At the frequency of the zero? d) If the pole frequency is...
Problem 3) (15 points) An RC filter is designed with a cutoff frequency of 100 Hz. If a low-pass first order filter is used, determine the attenuation (Attenuation %, and Attenuation(dB)) of the filtered analog signal at 50, 75 and 200 Hz. (use k -1) o Determine the order of the filter if magnitude ratio of <0.01 is needed at 200 Hz.
Problem 3) (15 points) An RC filter is designed with a cutoff frequency of 100 Hz. If a...
10 Design a low pass filter using a resistor R and a capacitor C of 0.2uF. Sketch the circuit diagram, mark thoe output voltage Vo, calculate the resistance value for R if 3dB frequency is 2500 Hz, and write out the voltage gain vs ω (for both magnitude and phase). Repeat the design if R is given as 30 Ohm and C is unknown.
build a high pass filter using a capacitor and a resistor that
eliminate 80% of a 60Hz portion of a signal. (a) Draw the circuit.
(b) Derive an equation for the ratio of the output voltage to the
input voltage. (c) find the capacitor needed if a R= 100 Ohm
resistor is used. (d) what percentage of the 10kHz signal is passed
by the high pass filter for the no load circuit?. (e) What is the
ratio of output signal...
For the low-pass filter circuit shown in Fig 2 3k Ω 200mil in out Fig 2 3.a. Use a 2.2nF capacitor to design a high-pass filter to have a cutoff frequency of Skn Draw a schematic of your design. Show all component values and voltages c. Sketch the frequency response of the voltage gain and phase shift Magnitude dB Frequency Hz Phase Frequency Hz
For the low-pass filter circuit shown in Fig 2 3k Ω 200mil in out Fig 2...
Problem 1 (25 Pts) Design a low pass multistage Butterworth filter that simultaneously meets the following design requirements: 1. Minimum attenuation of 24 dB at 1000 Hz and 2. Minimum attenuation of 48 dB at frequency of 2000 Hz or higher. Consider equal source and load impedances at 50 S2. Part a) 15 pts Solve for both the order of the Butterworth filter and the cut-off frequency required to meet the above design criteria. Part b) 10 pts Find the...
Problem 1 (25 Pts) Design a low pass multistage Butterworth filter that simultaneously meets the following design requirements: 1. Minimum attenuation of 24 dB at 1000 Hz and 2. Minimum attenuation of 48 dB at frequency of 2000 Hz or higher. Consider equal source and load impedances at 50 2. Part a) 15 pts Solve for both the order of the Butterworth filter and the cut-off frequency required to meet the above design criteria Part b) 10 pts Find the...