Question

To analyze and design a passive, second-order bandreject filter
using a series *R**L**C* circuit.

A bandreject filter is needed for an equalizer, a device that
allows one to select the level of amplification of sounds within a
specific frequency band while not affecting the sounds outside that
band. The filter should pass frequencies lower than 1.4 kHz and
have a resonant frequency of 3.8 kHz. A 5.0 *μ*F capacitor
and any needed resistors and inductors are available to be used in
the filter. Design and analyze the *R**L**C*
circuit that will make this bandreject filter.

Solve for R and L in the circuit. *R=sqrt(L/CQ^2) and
L=1/(w^2 (resonant frequency squared)*C*

Answer #1

Second order circuit as a band pass filter.
1. Consider a series RLC circuit of your choice with AC source.
Find the resonance conditions (resonant frequency, quality factor
cut-off frequencies and bandwidth.
Simulate(multisim) the resonance condition by experimenting with
AC signal of several different frequencies and comparing the output
amplitudes. You need to show graphs of simulation with several
different frequencies. Demonstrate that the simulation results
confirm the calculated resonance effect.
Make a band pass filter from circuit in (1)....

A series RLC circuit has a resonant frequency of 6.49 kHz. When
it is driven at 8.92 kHz, it has an impedance of 0.896 kΩ and a
phase constant of 38.0o. What are (a) R, (b) L, and (c) C for this
circuit?

A series RLC circuit has a resonant frequency of 5.24 kHz. When
it is driven at 7.62 kHz, it has an impedance of 0.819 kΩ and a
phase constant of 55.0o. What are (a) R, (b) L, and (c) C for this
circuit?

Design the component values for the series RLC bandreject filter
so that the center frequency is 5 kHz and the quality factor is 5.
Use a 500 nF capacitor. Plot the circuit of your design, marking
the output voltage.

Design an active-RC low pass second order Butterworth filter for
a cutoff frequency of 1 kHz, and a pass band gain of 2 V/V. Use a
741 Op Amp. If using Table I, use a capacitor value of 0.1 μF for C
and C1, otherwise you may use any capacitors available in the lab.
If applicable, make an excel worksheet showing the calculations
required for the above design. Choose appropriate real
resistor values for the designed circuit and simulate this circuit...

Design a passive RC high pass filter with a cutoff frequency of
470 Hz using a 270 pF capacitor.
What is the value of the resistor? Express your answer with the
appropriate units.
What is the transfer function of the filter? Express your answer
in terms of the variables R, C, and s.
If the filter is loaded with a resistor whose value is the same
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loaded...

Design an RLC series circuit with the following data:
Z0 = 100 Ω (Characteristic impedance)
Frequency = 1 kHz (Frequency where reactance is zero)
R = Z0.
a. Sketch the impedance on a log-log scale. What do you expect
the phase to do?
b. Simulate the circuit in QUCS and compare the result with your
prediction/expectation.
Also elaborate on your interpretation of the response.
c. Can you identify Zo and Frequency features? How well does
your design meet the requirements?...

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