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ECEN 325 Section 517 Lab Report 1: First Order Circuits

1.

Simul ations for Low pass filter

Blode Plots for Low Pass filter from Multisim:

Calculation: from the bode plot. 3dB frequencies is at -9.074dB. Passband gain=6.0340K-1.0088=6033.

Magnitude at 4kHz:-8.1898dB Magnitude at 6KHz:-9.95.9dB Phase of 4KHz:-38.9917 ° or -39 ° Phase of 6KHz:-50.488 ° or -50 ° Transient Simulation for low pass filter:

Calculation: Vi(t) = 0.4 sin(2π4000t) vout vin |H|

Δt ∠H

161.731 6 399.333 8 0.40500 4 0.00002 7 -38.88

-0.67 rad

Calculation: Vi(t) = 0.3 sin(2π6000t) vout vin |H|

Δt ∠H

105 300 0.35 0.00002 4 -34.56

-0.6 rad

Simulation for High Pass Filter in multism:

Blode Plots for High Pass filter:

Calculation: from the bode plot. 3dB frequencies is at -9.0621dB. Passband gain=9995k. Magnitude at 4kHz:-10.063dB Magnitude at 6KHz:-8.843dB Phase of 4KHz:- 51.2 ° Phase of 6KHz:-40 °

Transient Simulation for Highpass filter:

Calculation: Vi(t) = 0.4 sin(2π4000t) vout vin |H| Δt ∠H

83 300 0.276667 0.000017 24.48°

0.43 rad

Calculation: Vi(t) = 0.3 sin(2π6000t) vout vin |H| Δt ∠H

90 400 0.225 0.00003 6 51.84°

0.905 rad

Measurement from waveform: Lowpass filter:

Above figure: Network Analyzer displaying magnitude and phase transfer function for 4kHz and 6kHz.

Above figure: time-domain waveform displaying magnitude of the input and output voltages and the phase difference between them for Vi(t) = 0.4 sin(2π4000t).

Above figure: time-domain waveform displaying magnitude of the input and output voltages and the phase difference between them for Vi(t) = 0.3sin(2π6000t).

Highpass filter in waveform:

Above figure: Network Analyzer displaying magnitude and phase transfer function for 4kHz and 6kHz.

Above figure: time-domain waveform displaying magnitude of the input and output voltages and the phase difference between them for Vi(t) = 0.4 sin(2π4000t).

Above figure: time-domain waveform displaying magnitude of the input and output voltages and the phase difference between them for Vi(t) = 0.3 sin(2π6000t)....