Day 19 - Sinusoids and Phasors Cont.

Topics Discussed

On day 19 of the ENGR 44 course, we had further discussion of sinusoids and phasors. Additionally, we were introduced to the concept of impedance in different elements of a circuit such as capacitors, inductors, and resistors. We were also introduced to the concept of admittance which is essentially the inverse of impedance. We did several practice problems with these ideas in mind. (Fig. 1) We also discussed the concept of leading and lagging in terms of voltage and current, and how different elements within the circuit can experience this. (Fig. 2)

Fig. 1

Fig. 2

Impedance Lab

In lab, we planned to investigate the effects of a sinusoidal voltage at a set frequency on a capacitor, resistor, and inductor in three separate circuits. We wanted to use frequency at 1kHz, 5kHz, and 10kHz. We then converted these to omega and made some calculations in reference to the responses we should get. (Fig. 3)

Fig. 3

Once the calculations were complete, we then proceeded to create each circuit. (Fig. 4,5,6) 

Fig. 4 - Inductor

Fig. 5 - Capacitor

Fig. 6 - Resistor

We then applied the three different frequencies to each circuit and observed the effects on the voltage gain across each. (Fig. 7-15)

Fig. 7 - Inductor @ 6280 Hz

Fig. 8 - Inductor @ 31 kHz

Fig. 9 - Inductor @ 62 kHz

Fig. 10 - Capacitor @ 6283 Hz

Fig. 11 - Capacitor @ 31 kHz

Fig. 12 - Capacitor @ 62 kHz

Fig. 13 - Resistor @ 6283 Hz

Fig. 14 - Resistor @ 31 kHz

Fig. 15 - Resistor @ 62 kHz

Summary

Upon completion of the lab, we were able to successfully view the effects of applying these different frequency voltages to these separate elements in each circuit.