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| Circuit Built |
The lab for today consisted of applying different signals with multiple frequency components. This circuit consisted of a resistor (1kΩ) in series with a capacitor (100nF) and resistor (1kΩ) in parallel.
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| Theoretical Results |
Before beginning the lab we were asked to determine the magnitude response of the circuit. We then created different wave functions to supply to the circuit. We created a custom waveform, 20(sin(1000πt)+sin(2000πt)+sin(20,000πt)) and sinusoidal sweep function. Using the Analog Discovery we were also able to measure Vin and Vout from the circuit.
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| 20(sin(1000πt)+sin(2000πt)+sin(20,000πt)) |
Looking at the graph, the high frequency part is more suppressed than the low frequency part.
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| Sinusoidal Sweep |
As can be seen by the graph, the frequency is being suppressed as time passes and jumps back up again while the process is repeated.
Summary:
Today, we learned about frequency response. The frequency response of a circuit is determined by the variation in its behavior with change in signal frequency. We can use the transfer function H(w) to find the frequency response of a circuit.The transfer function of a circuit is the frequency dependent ratio of a phasor output Y(ω) (voltage or current) to a phasor input X(ω) (source voltage or current). We can use these equations to analyze the transfer function.
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