ECEN 325 Lab 2 Report

ECEN 325-510

Lab 2 Report

Calculations:

Transfer function:

ECEN 325 Lab 2 Report img1 ECEN 325 Lab 2 Report img2 ECEN 325 Lab 2 Report img3

Selecting the value of components:

ECEN 325 Lab 2 Report img4 ECEN 325 Lab 2 Report img5 ECEN 325 Lab 2 Report img6

Bode plots

ECEN 325 Lab 2 Report img7 ECEN 325 Lab 2 Report img8

Output waves:

ECEN 325 Lab 2 Report img9 ECEN 325 Lab 2 Report img10 ECEN 325 Lab 2 Report img11

Simulations:

Bode plots:

Low pass:

ECEN 325 Lab 2 Report img12

-3.0dB frequency at 2.6kHz

Magnitude at 6k Hz is -8.6dB, phase shift is -92.15 degrees

ECEN 325 Lab 2 Report img13

Magnitude of input is 0.493V, output is 0.182V

Time delay is 41.5us, Phase shift is 41.5us/(1/6000)*360 = 89.64 degrees

High pass

ECEN 325 Lab 2 Report img14

-3.0dB frequency at 12.37k Hz

Magnitude at 6k Hz is -8.6dB, phase shift is 87.68 degrees

ECEN 325 Lab 2 Report img15

Magnitude of input is 0.499V, output is 0.206V

Time delay is 36.6us, Phase shift is 36.6us/(1/6000)*360 = -79.06 degrees

Band pass filter

ECEN 325 Lab 2 Report img16

-3.0dB frequency at 2.45k Hz and 13.12k Hz

Magnitude at 6k Hz is -5.14dB, phase shift is -2.32 degrees

ECEN 325 Lab 2 Report img17

Magnitude of input is 0.508V, output is 0.281V

Time delay is 5.55us, Phase shift is 5.55us/(1/6000)*360 = -11.99 degrees

Measurements:

Low pass:

ECEN 325 Lab 2 Report img18

-3dB frequency is 2.62k Hz

Magnitude at 6k Hz is -8.49dB, phase shift is -90.31 degrees

ECEN 325 Lab 2 Report img19

Magnitude of input is 0.499V, output is 0.186V

Time delay is 39.82us, Phase shift is 39.82us/(1/6000)*360 = 86.01 degrees

High pass:

ECEN 325 Lab 2 Report img20

-3dB frequency is 13.3k Hz

Magnitude at 6k Hz is -8.25dB, phase shift is 88.99 degrees

ECEN 325 Lab 2 Report img21

Magnitude of input is 0.499V, output is 0.193V

Time delay is -42.98us, Phase shift is -42.98us /(1/6000)*360 = -92.84 degrees

Band pass:

ECEN 325 Lab 2 Report img22

-3dB frequency is 2.01k Hz and 17.49k Hz

Magnitude at 6k Hz is -4.99dB, phase shift is 2.24 degrees

ECEN 325 Lab 2 Report img23

Magnitude of input is 0.500V, output is 0.281V

Time delay is -1.26us, Phase shift is -1.26us /(1/6000)*360 = -2.72 degrees

Table of data:

Type of Filter

Calculation

Simulation

Measurement

Low pass

0.22sin(2*pi*6000t-86.77)

0.18sin(2*pi*6000t-89.64)

0.19sin(2*pi*6000t-90.31)

High pass

0.25sin(2*pi*6000t+86.92)

0.21sin(2*pi*6000t+76.06)

0.19sin(2*pi*6000t+92.84)

Band pass

0.33sin(2*pi*6000t+3.18)

0.28sin(2*pi*6000t+11.99)

0.28sin(2*pi*6000t+2.72)

Comments

When compare the results form calculation, simulation, and measurements, they appear to be the same in general. However, magnitude of calculation tends to be higher than both simulation and measurement. Since the value of components I selected has difference compare to calculation, this difference can be explained.

The basic idea of choosing components is to make sure they match to the calculated value as close as possible. Since the constant is the product of inductance and resistance, when increase the capacitance of the capacitor, we have to find a resistor with a correspond smaller resistance. The trade off of changing to another set of components could result in a bigger variation of the measurement data.

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