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A laboratory report detailing the examination of passive filters, specifically high pass RC filters and tuned band-pass filters, in the context of electrical networks. The report includes the objective of the exercise, instruments and materials used, procedures for constructing and testing the filters, and the resulting data and graphs. The report also discusses the importance of filters in various applications such as radio communications and audio electronics.
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Electrical Networks
Report Submitted : May 15 2019 Laboratory Exercise Performed : May 07, 2019
Instruments & Materials Resistors Capacitors Inductors 22 Ω 0.001 μF 1 mH 100 Ω 0.1 μF 10 mH 1 kΩ 0.2 μF Procedure
First the constructed the following circuit (shown left), and measured the resistance of the resistor R 1. The acquired resistance was 1.005 kΩ. *Note the source’s peak voltage is 4 V and with a frequency of 100 Hz. Upon energizing the circuit, we varied the frequency of the supplied power source and recorded the output voltage across the resistor R 1.
The network shown in the circuit of fig. was constructed and connected function generator as AC supply of 8V peak-to-peak while channel 2 of the oscilloscope read the voltage across the 100Ω resistor. Then we proceeded to calculate the resonant frequency of the series resonant circuit and recorded in table 15.4. Upon energizing the circuit, we varied the frequency of the supplied power source and recorded the output voltage across the resistor R 1.
Results Table 15. Calculated Graph fs 1591.55 Hz 1800 Hz Vo/Vi (2kHz) .78. Graph 15. Table 15. Frequency (Hz) V (^) o ( p − p ) Av = V (^) i ( p − p ) V (^) o ( p − p ) 100 5.60E-06 7E- 200 1 0. 400 1.88 0. 600 2.68 0.
Graph 15. Table 15. Frequency (kHz) 𝜭 0.1 86.4° 0.2 82.84° 0.6 69.34° 1 57.86° 2 38.51° 6 14.86° 10 9.04° 12 7.56° 20 4.55° 40 2.28° 60 1.52° 100 0.91°
Graph 15. Table 15. fs 5032.92 Hz Qs 3. BW(f/Q) 1592. Table 15. Frequency (Hz) V (^) o ( p − p ) Av = V (^) i ( p − p ) V (^) o ( p − p ) 100 50.27 E-3 0. 200 100.97 E-3 0. 400 202.16 E-3 0. 600 306.37 E-3 0. 800 413 E-3 0.
Conclusion In this laboratory exercise, we studied the effects of passive filters. Being able to use a device that allows us to filter certain frequencies out of our circuitry has incredibly useful purposes. For instance, in radio communications filters are used to allow radio receivers to only take the signal requested while leaving the rest of the signals behind, in audio electronics, filters are made into networks called crossover networks. Which is used to channel low frequency audio to to woofers, mid-range frequencies to midrange speakers ,and high-frequency sounds to tweeters. Essentially organizing how the sound is distributed across a sound system. References
