Lab 5 Passive and Active Low Pass Filters

What is the definition of resonant frequencies, cut-off frequencies, bandwidth, andquality factor of series and parallel RLC circuits.And how do you determine the circuit conditions at the resonant and cut-off frequencies. (Answer in long paragraph form)

An RC low-pass filter is shown in the figure. Its purpose is to attenuate higher frequencies while allowing lower frequencies to pass through. A 960-Hz sine-wave signal with rms amplitude of Vrms = 1.9 V is fed into the filter. The values of the components are R = 120 Ω and C = 0.64 μF. A) Find the output rms voltage, in volts.

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(c) An active filter is shown in Figure Q2(c). RF RA C C R2 Figure Q2(c) Determine the value of C in the circuit if the cut-off frequency is set at 900 Hz and R1 = R2 = 27k 2. (i) (ii) Using the value of C calculated in Q2(c)(i), design the circuit by finding new value for Rị and R2 so that the cut-off frequency is doubled. Draw the frequency response waveform.

Example 23

Problem 3: An RC low-pass filter is shown in the figure. Its purpose is to attenuate higher frequencies while allowing lower frequencies to pass through. A 820-Hz sine-wave signal with rms amplitude of Vms = 1.4 V is fed into the filter. The values of the components are R= 140 Q and C = Out R 0.66 µF. rms Part (a) Find the output rms voltage, in volts. Vout-rms = sin() cos() tan() 9 HOME cotan() asin() acos() E 4 5 6 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh) . END ODegrees O Radians vol BACKSPACE DL CLEAR Feedback I give up! Submit Hint Part (b) By what angle, in degrees, does the output voltage lag the input voltage?

In the filter circuit in the figure.......... and...... If we do, what will be the cutoff frequency?

Sketch a phasor diagram showing Vin, Vout, Vr, Vc. What would be the phase shift for a dc input, and very high frequency input?

In Chapter 4, we used the time constant to characterize first-order RC circuits. Find the relationship between the half-power frequency and the time constant.

3. An essential part of an AC-DC power supply circuit is the filter, used to separate the residual AC (called the "ripple" voltage) from the DC voltage prior to output. Here are two simple AC-DC power supply circuits, one without a filter and one with: Plug unfiltered Plug Filter Vatered Draw the respective output voltage waveforms of these two power supply circuits (unfiltered versus filtered). Explain why that type of filter circuit is needed.

Show the capacitors, whether it is effective at low or high frequencsies Draw low frequency small-signal-equivalent circuit. AND LOWER corner is 82Hz frequency. Design the circuit. Draw the high frequency small-signal-equivalent circuit. AND UP-CORNER İS 172Hz frequency. DESİGN THE CIRCUIT.

AC Circuits An RC high-pass filter is shown in the figure. Its purpose is to attenuate lower frequencies while allowing higher frequencies to pass through. A 1020-Hz sine-wave signal with rms amplitude of Vrms = 2.5 V is fed into the filter. The values of the components are R = 140 Ω and C = 0.76 μF.         Part (a) Find the output rms voltage, in volts.

A parallel R-L-C circuit is fed by a constant current source of variable frequency. The circuit resonates at 100 kHz and the Q-factor measured at this frequency is 5. Find the frequencies at which the amplitude of the voltage across the circuit falls to (a) 70.7% (b) 50% of the resonant frequency amplitude.

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[Q5] Choose appropriate values for this Sallen-Key high-pass filter circuit to give it a cutoff frequency of 7 kHz with a “Butterworth" response Draw the complete circuit diagram

A very common problem in instrumentation is that of interference of the telemetry that is to be measured. One of the primary sources of the interference is the power line. This is particularly true for high impedance circuits. Another path for this noise is ground-loops. One possible solution is to use a notch filter to remove the 50HZ component. Design a suitable notch filter for this purpose.

Q#3: Discuss the surge current in the capacitor-Input filter with the help of schematic diagram.

In the following figure, R=9kΩ ad Cf=3nF. Vin(t)=5sin(2pi*10khz*t) draw the output waveform Vin and Vo and derive the expression of the Vo(t) as a function of time & Vo(f) as a function of varying signal frequency.

2. The circuit of the Figure is a notch filter. Generate a magnitude plot of the transfer function H(f) = Vout/Vin with frequency ranging from 10 Hz. to 100 kHz. Then, analyze the circuit at very high and very low frequencies to provide checks on the plot. Use the plot to determine the frequency of maximum attenuation and the value of the transfer function at that frequency. Hint: Use the phasor transformation. www R₁ R₁ = 90 92 R₂=1022 R₂-100 £2 0000 L ww R₂ L = 100 mH C=0.1 μF www Ry Vout

An RL high-pass filter is shown in the figure. Its purpose is to attenuate lower frequencies while allowing higher frequencies to pass through. A 1140-Hz sine-wave signal with rms amplitude of Vrms = 2.8 V is fed into the filter. The values of the components are R = 0.95 Ω and L = 180 μH.    a) Find the output rms voltage, in volts.  b) By what angle, in degrees, does the output voltage lead the input voltage?

(b) Analyse and obtain the transfer function for the filter as shown in Figure Q2(b). R₁ VW HH R₂ W Figure Q2 (b)

In a series RLC circuit, the applied voltage is 120V. At resonance, the frequency is 200rad/sec, and the circuit current is 6.26 A. What is the resistance of the circuit (in Ohms)? (Use 2 decimal places. Unit is not required.)

Problem 2. frequency components. Assuming no-load condition: A. What type of filtering effect will this circuit have on the output signal. b) Band pass a) Low Pass c) High pass B. Determine the half-power frequency of this circuit, C. Determine the transfer function of this circuit The circuit below was not designed as a filter but, like any circuit, it filters some d) Band reject Assuming a 10,000 Ohm load resistor is connected to the output terminals: D. Can we use our no-load transfer function from part C to obtain a good approximation of the circuit's filtering effect for the 10 k load? Why or why not? E. If you use the transfer function from part C, what would be the signal attenuation in dBs for the 10 k load at the half-power frequency? Vin (t) 16 mH 1000 ww 10,000 0 ww Vout(t)

For the signal and circuit below, determine the maximum frequency that may be used. Op-amp slew rate is SR = 0.9 V/us. Refer to the image for the circuit, but refer to the following for the given values: Rf = 323996 ohms, Ri = 14089 ohms, Vi = 0.03 C, and w = 404604 x 10^3 rad/s. Express your answer in 10^6 rad/s, no units required, round-off up to two decimal places.