Report

Group: 2
Section: 6

Aleksandra Szpiech
Patryk Piwowarczyk
Wojciech Bieniek

Ex. 5

Tutor name: Damian Grzechca

Observed responses

For $R_{dod} = 0$

$U_{R_{dod}}$ (top) and $U_{C1}$ (bottom) for $R_{dod} = 0$

$U_{C1}$ (top) and $U_{L1}$ (bottom) for $R_{dod} = 0$

$U_{L1}$ (top) and $U_{R1}$ (bottom) for $R_{dod} = 0$

$U_{gen}$ (top) and $U_{R1}$ (bottom) for $R_{dod} = 0$

For $R_{dod} = R_{crit} = 366.4\Omega$

$U_{R_{dod}}$ (top) and $U_{C1}$ (bottom) for $R_{dod} = R_{crit}$

$U_{C1}$ (top) and $U_{L1}$ (bottom) for $R_{dod} = R_{crit}$

$U_{L1}$ (top) and $U_{R1}$ (bottom) for $R_{dod} = R_{crit}$

$U_{gen}$ (top) and $U_{R1}$ (bottom) for $R_{dod} = R_{crit}$

For $R_{dod} = 2 \times R_{crit} = 732.8\Omega$

$U_{R_{dod}}$ (top) and $U_{C1}$ (bottom) for $R_{dod} = 2 \times R_{crit}$

$U_{C1}$ (top) and $U_{L1}$ (bottom) for $R_{dod} = 2 \times R_{crit}$

$U_{L1}$ (top) and $U_{R1}$ (bottom) for $R_{dod} = 2 \times R_{crit}$

$U_{gen}$ (top) and $U_{R1}$ (bottom) for $R_{dod} = 2 \times R_{crit}$

For $f_1 = 500Hz$

$U_{R_{dod}}$ (starts higher) and $U_{C1}$ (starts lower)

$U_{L1}$ (starts higher) and $U_{C1}$ (starts lower)

$U_{L1}$ (starts higher) and $U_{R1}$ (starts lower)

$U_{R1}$ and $U_{gen}$

Plots

Calculations

Critical damping

$R_{crit} = 2 \sqrt{L \over C} \approx 1465\Omega$

Phase Shift

Configuration	$f_1=500Hz$		$f_2=1500Hz$		$f_3=4500Hz$
$\psi[\degree]$	exp.	calc.	exp.	calc.	exp.	calc.
$\psi U_{R_1}$	0	0	0	0	0	0
$\psi U_{C}$	-90	-90	-57.27	-90	-81.81	-90
$\psi U_{L}$	43.9	38.15	57.27	67	81.81	81.95
$\psi U_{R_{dod}}$	0	0	8.18	0	16.36	0
$\psi U_{gen}$	-87.80	-86.66	24.55	20.84	93.91	86.89

Conclusions

Resistance in series RLC has big influence on the shape of voltage responce. The higher it is, the bigger damping factor.

A feature of LC filters is that with frequency, the phase shift changes. In this case, when increasing the frequency we observe a transitions from a capacitor-like shift close to -90° up to coil-like shift of 90°.