GROUP 5:
PABIA, JAYMARK
HADJI IBRAHIM, ABDUL RAHMAN
RANCES, MAUREEN
Figure 1: RL LOW-PASS FILTER
CIRCUIT
Graph 1: FREQUENCY RESPONSE OF RL LOW-PASS FILTER
Figure 2: RC LOW-PASS FILTER
CIRCUIT
Graph 2:FREQUENCY RESPONSE OF RC LOW-PASS FILTER
Figure 3: RC HIGH-PASS FILTER
CIRCUIT
Graph 3:FREQUENCY RESPONSE OF RC HIGH-PASS FILTER
Figure 4:RL HIGH-PASS FILTER
CIRCUIT
Figure 5: Input Waveform
Graph 4:FREQUENCY RESPONSE OF RL HIGH-PASS FILTER
Figure 6:Output Waveform
EXPLAINATION:
Input Frequency = 1 Hz
Channel Assignment:
Channel A (Yellow) = RC Low-pass Filter
Channel B (Blue) = RL Low-pass Filter
Channel C (Pink) = RC High-pass Filter
Channel D (Green) = RL High-pass Filter
Solving for the cut-off frequency for RC circuits gives:
1
𝑓𝑐𝑜 =
2𝜋𝑅𝐶
1
𝑓𝑐𝑜 =
3
2𝜋(10𝑥10 )(1𝑥10−9 )
𝑓𝑐𝑜 = 15.915 𝑘𝐻𝑧
While solving for the cut-off frequency for RL circuits gives:
𝑅
2𝜋ℒ
(10𝑥103 )
𝑓𝑐𝑜 =
2𝜋(1𝑥10−3 )
𝑓𝑐𝑜 = 1.5915 𝑀𝐻𝑧
𝑓𝑐𝑜 =
RC low-pass filter works by attenuating frequencies above the cut-off frequency. In our case, the
cut-off frequency is 15.915 kHz. Since our input frequency is 1 Hz which is below the cut-off
frequency then the output waveform is almost identical to the input waveform.
RL low-pass filter also works by attenuating frequencies above the cut-off frequency. In our case,
the cut-off frequency is 1.5915 MHz. Since our input frequency is 1 Hz which is below the cut-off
frequency then the output waveform is almost identical to the input waveform.
RC high-pass filter works by attenuating frequencies below the cut-off frequency. In our case, the
cut-off frequency is 15.915 kHz. Since our input frequency is 1 Hz which is below the cut-off
frequency then the resulting output waveform is greatly attenuated as seen from Figure 6 (Channel
C).
RL high-pass filter also works by attenuating frequencies below the cut-off frequency. In our case,
the cut-off frequency is 1.5915 MHz. Since our input frequency is 1 Hz which is below the cut-off
frequency then the resulting output waveform is greatly attenuated as seen from Figure 6 (Channel
D).