1. RC Circuit
1.1 RC Circuit Arrangement
Initial Combination: R = 1kΩ, C = 1µF
Fig.1. RC Circuit Arrangement

Equation for corner frequency (fc) in a RC Low Pass Filter Circuit:
𝑓𝑐 =
1
2𝜋𝑅𝐶
Table 1 - Component Combinations tested for RC Circuit
Combination
Resistor
(R)
Capacitor
(C)
Theoretical
Corner
Frequency
(𝒇𝒄𝑻 )
Simulated
Corner
Frequency
(𝒇𝒄𝑺 )
Magnitude
Phase
Response
Initial
1 kΩ
1μF
159.15Hz
159.31Hz
-3.017dB
-45.03°
1
2 kΩ
1μF
79.58Hz
79.64 Hz
-3.015dB
-45.02°
2
500 Ω
1μF
318.3Hz
318.7 Hz
-3.019 dB
-45.03°
3
1 kΩ
2μF
79.58Hz
79.64 Hz
-3.015 dB
-45.02°
4
1 kΩ
500nF
318.3Hz
318.7 Hz
-3.019 dB
-45.03°
1
Initial Combination : R = 1Ω, C = 1µF
Fig.1. Initial RC Combination
Combination 1: R = 2kΩ, C = 1µF
Fig.2. RC Combination 1
2
Combination 2: R = 500Ω, C = 1µF
Fig.3. RC Combination 2
Combination 3: R = 1kΩ, C = 2µF
Fig.4. RC Combination 3
3
Combination 4: R = 1kΩ, C = 500nF
Fig.5. RC Combination 4
4
2. RLC Circuit
2.1 RLC Circuit Arrangement
Initial Combination: R = 1kΩ, L1 = 10mH, C = 100µF
Fig.6. RLC Circuit Arrangement

Equation for resonant frequency (fr) in a RLC Resonant Circuit:
𝑓𝑟 =
1
2𝜋√𝐿𝐶
Table 2 - Component Combinations tested for RLC Circuit
Combination
Resistor
(R)
Inductor
(L)
Capacitor Theoretical
(C)
Resonant
Frequency
(𝑓𝑟𝑇 )
Simulated
Resonant
Frequency
(𝑓𝑟𝑆 )
Magnitude
Phase
Initial
1k
10mH
100μF
159.15Hz
159.90Hz
-40.04dB
-90.0°
1
2k
10 mH
100μF
159.15Hz
159.07 Hz
-46.01dB
-90.0°
2
500 Ω
10 mH
100μF
159.15Hz
159.90 Hz
-34.02dB
-90.0°
3
1 kΩ
20 mH
100μF
112.54Hz
112.85 Hz
-37.04dB
-90.0°
4
1 kΩ
10 mH
200μF
112.54Hz
112.85 Hz
-43.03dB
-90.0°
5
1 kΩ
5 mH
100μF
225.08Hz
225.38 Hz
-43.02dB
-90.0°
6
1 kΩ
10 mH
50μF
225.08Hz
225.38 Hz
-37.00dB
-90.0°
5
Initial Combination : R = 1kΩ, L = 10mH, C = 100μF
Fig.7. Initial RLC Combination
Combination 1 : R = 2kΩ, L = 10mH, C = 100μF
Fig.8. RLC Combination 1
6
Combination 2 : R = 500Ω, L = 10mH, C = 100μF
Fig.9. RLC Combination 2
Combination 3 : R = 1kΩ, L = 20mH, C = 100μF
Fig.10. RLC Combination 3
7
Combination 4 : R = 1kΩ, L = 10mH, C = 200μF
Fig.11. RLC Combination 4
Combination 5 : R = 1kΩ, L = 5mH, C = 100μF
Fig.12. RLC Combination 5
8
Combination 6 : R = 1kΩ, L = 10mH, C = 50μF
Fig.13. RLC Combination 6
9