electrical circuit lab 1

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electrical circuit lab 1

3) Go back to the circuit in Fig. 2, but replace the square wave input with a 3 volt p-p sine wave input. Looking at both the input and output, with the two scope probes, slowly increase the input frequency from 50 Hz to 500 Hz. This circuit is called a “low pass filter”. This means that as you move to higher frequencies the output voltage decreases. Higher frequencies correspond to shorter times.

At the higher frequencies the impedance of the capacitor decreases, so the output becomes a smaller fraction of the input. We say the “attenuation” of the circuit in Fig. 2 gets greater at higher frequencies. In addition, a phase shift develops between the output and the input waveforms. Measure the output of the circuit for a 1 volt p-p input for about 10 frequencies between 50 Hz and 500 Hz. At what frequency is the signal reduced to 1/√2, or about 0.7, of its original amplitude? This frequency is called the “break point” frequency, and is related to the time constant, RC, by the formula

f = 1/ 2 πRC

What is the phase shift at the break point frequency? What is it at much higher frequencies?

4) Repeat the frequency measurements with the circuit in Fig. 3. This is a “high pass filter,” so that the response is lower at lower frequencies. Lower frequencies correspond to longer times. At the lower frequencies the impedance of the capacitor increases, so the attenuation of the circuit in Fig. 3 gets greater. In addition, a phase shift develops between the output and the input waveforms. As in Part 3, measure the output of the circuit for a 1 volt p-p input for about 10 frequencies between 50 Hz and 500 Hz. At what frequency is the signal reduced to 0.7 of its original amplitude? What is the phase shift at this frequency? What is it at much lower frequencies?

ASSIGNMENT

Use your measurements in Parts 3 and 4 to plot the attenuation, or ratio of the output voltage to the input voltage (Y axis), as a function of the frequency (X axis) from 50 Hz to 500 Hz for the low pass and high pass filters.

 
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