Nanotechnology Engineering Program Assignment - Passive Filters

Q1) Determine what type of filter is in circuit shown. Calculate the cutoff frequency f_c.

Q2) Determine what type of filter is in circuit shown. Calculate the cutoff frequency f_c.

Q3) For the circuit shown:

a. Determine the type of filter.

b. Derive an expression for the transfer function (H(ω)).

c. Determine the maximum and minimum value of the magnitude of H(ω).

d. Calculate the cutoff frequency f_c.

Q4) Determine the range of frequencies that will be passed by a series RLC bandpass filter with R = 10Ω, L = 25mH and C = 0.4μF. Find the quality factor.

Q5) Design a series RLC band-pass filter with a quality of 8 and a center frequency of using a 0.01F capacitor. Calculate the bandwidth and the values of the two cutoff frequencies.

Q6) A For the circuit shown,

a. Determine the type of the filter.

b. Calculate the center frequency in Hz.

c. Calculate the quality factor of the filter.

d. Calculate the bandwidth and the cutoff frequencies in Hz.

Q7) A The circuit parameters for a series RLC band-stop filter are R = 2kΩ, L = 0.1H and C = 40pF. Calculate:

a. The center frequency

b. The quality factor of the filter

c. The half-power frequencies.

Q8) Determine (via a qualitative analysis) the type of circuit shown. Find the transfer function of the filter.