🔬 Experiment 16 — RC High-Pass Filter & Frequency Response
In Experiment 15, we studied the RC low-pass filter.
Now we investigate its complementary circuit:
the RC high-pass filter.
A high-pass filter attenuates low-frequency components while allowing
higher-frequency components to pass. This simple circuit introduces
students to another fundamental idea in electronic signal
conditioning.
🎯 Experiment Objectives
Understand the operation of an RC high-pass filter.
Understand the concept of cutoff frequency.
Study attenuation of low-frequency signals.
Observe the effect of R and C on cutoff frequency.
Calculate the cutoff frequency.
Observe amplitude and phase response.
Study frequency-selective signal processing.
Connect basic filtering concepts with sensors and SHM.
👨🎓 Think Before You Start
Why does a capacitor allow high-frequency signals to pass?
Why is a low-frequency signal attenuated?
What happens if R increases?
What happens if C increases?
How is this circuit different from the low-pass filter?
🔄 From Experiment 15 to Experiment 16
Experiment 15
Experiment 16
RC Low-Pass
RC High-Pass
Passes low frequencies
Passes high frequencies
Attenuates high frequencies
Attenuates low frequencies
Output across capacitor
Output across resistor
💡 Engineering Insight
Together, the two experiments demonstrate one of the most important
ideas in signal processing:
different circuit arrangements can select different portions
of the frequency spectrum.
📚 1. Theory
What is a High-Pass Filter?
A high-pass filter allows higher-frequency components of a signal to
pass while reducing lower-frequency components.
RC High-Pass Circuit
The basic high-pass circuit contains a capacitor in series with the
input and a resistor connected from the output node to ground.
The output is measured across the resistor.
fc =
1 /
(2πRC)
Transfer Function
|H(f)| =
(f/fc) /
√(1+(f/fc)²)
At frequencies much lower than the cutoff frequency, the output is
strongly attenuated. As frequency increases, the output approaches
the input amplitude.
Cutoff Frequency
At the cutoff frequency, the output magnitude is approximately
70.7% of the input magnitude, corresponding to
approximately −3 dB.
🧩 2. Virtual Experiment Controls
🟢 RC high-pass filter ready. Adjust R, C and input frequency.
🔌 3. Virtual RC High-Pass Filter
📊 4. Live Results
Resistance
10.0 kΩ
Capacitance
0.10 µF
Cutoff Frequency
159.15 Hz
Input Frequency
100 Hz
Output Amplitude
0.532 V
Gain
53.2%
Attenuation
−5.48 dB
Phase
57.86°
📈 5. Input and Output Waveforms
The output amplitude and phase change as the input frequency moves
relative to the cutoff frequency.
📊 6. High-Pass Frequency Response
At low frequencies the gain is small. Above the cutoff frequency the
gain approaches unity.
🔬 7. Engineering Analysis
📝 8. Student Observation Table
Trial
R
C
fc
Input f
Output
Gain
Phase
🎓 9. Experiment Procedure
Set R = 10 kΩ.
Set C = 0.10 µF.
Observe the calculated cutoff frequency.
Set the input frequency well below the cutoff frequency.
Observe the small output signal.
Increase the frequency gradually.
Observe the output amplitude increasing.
Set the frequency equal to the cutoff frequency.
Verify that the gain is approximately 70.7%.
Increase the frequency above the cutoff frequency.
Observe that the gain approaches 100%.
Record at least five observations.
⭐ Engineering Challenge
Design a high-pass filter with a cutoff frequency close to
1 kHz.
Experiment with different combinations of R and C.
Find at least three different R-C combinations that produce
approximately the same cutoff frequency.
📐 10. Sample Calculation
For:
R = 10 kΩ
C = 0.10 µF
The cutoff frequency is:
fc =
1 /
(2π × 10,000 × 0.1×10⁻⁶)
fc ≈ 159.15 Hz
At a frequency much higher than 159 Hz, the output approaches the
input amplitude. At frequencies much lower than 159 Hz, the output
is strongly attenuated.
🌍 11. Real-World Applications
Removal of DC components
Audio signal processing
Sensor signal conditioning
Vibration measurement
Robotics
Communication systems
Biomedical instrumentation
Industrial instrumentation
Structural Health Monitoring
PZT sensor signal processing
🧠 12. Connection to PZT & Structural Health Monitoring
Many sensor systems contain unwanted low-frequency components,
including slow drift, offsets and environmental variations.
High-pass filtering provides a simple way of understanding how
unwanted low-frequency components can be reduced.
🔬 Research Connection
In Structural Health Monitoring, engineers often analyse dynamic
responses such as vibration, acoustic or electromechanical signals.
Understanding high-pass filtering is an important foundation for
designing signal-conditioning systems.
The same fundamental principle can later be implemented using
active filters, digital filters and AI-based signal-processing
systems.
❓ 13. Student Quiz
Q1. An RC high-pass filter primarily allows:
Q2. The cutoff frequency is:
Q3. At the cutoff frequency, the magnitude is approximately:
Q4. Increasing R or C generally:
Q5. A high-pass filter can be useful for reducing:
🤖 CHITTI
GARRF Robotics & Engineering AI Mentor
Students can use CHITTI to explore high-pass filters,
frequency response, signal conditioning, sensors and robotics.
💡 Try asking:
“What is an RC high-pass filter?”
“Why does a capacitor pass high-frequency signals?”
“How do I calculate the cutoff frequency?”
“How can I design a 1 kHz high-pass filter?”
“How are high-pass filters useful in PZT SHM?”
⚠️ 14. Physical Laboratory Safety
Important:
This is a virtual experiment. If reproduced physically, use a
current-limited laboratory supply and verify resistor, capacitor and
instrument ratings before making connections.
🎓 15. Experiment Conclusion
The RC high-pass filter demonstrates how a simple resistor and
capacitor can selectively control the frequency content of an
electrical signal.
fc = 1/(2πRC)
At frequencies below the cutoff frequency, the signal is attenuated.
At frequencies above the cutoff frequency, the output approaches the
input.
The experiment establishes a foundation for understanding
signal-conditioning circuits used in electronics, robotics,
instrumentation, sensors and Structural Health Monitoring.
Simple components create powerful engineering concepts.
The next step for the student is to ask:
“What new system can I build using this principle?”