Day 26 Alternating Currents and Voltages, AC Circuits

At the beginning of the class, the graphs of alternating currents and voltages were showed to us. They are both trigonometric functions.

These are the relationship between Vmax and Vrms; and Imax and Irms.

We did a practice problem on Vrms and Vmax by the formula provided in the picture.

Then we started doing an experiment on alternating currents and voltages. 

We used logger pro current probes dual channel amplifiers, functional generator, resistor using the RLC circuit board, and a digital multimeter. 

These are the graphs for alternating currents and voltages.

These are the results of our experiment. 

We used the equation of V to find Ic(t) and found that Ic(t) has bigger amplitude than V.

We were given c, frequency, and Vrms, and we needed to find Xc and Irms.

Then we started doing an experiment on Capacitors in an AC circuit.

We used the vernier logger pro voltage probe current probe dual channel amplifier, functional generator, and RLC circuit boad where C1 = 100 uf and C2 = 150 uf.

These are the graphs we got. We found that Vmax = 2.005 V and Imax = 0.116 A.

These are the data we recorded. We got the percent error of 18% on theoretical capacitive reactances and experimental capcitive reactance.

We calculated the Xc to Irms.

In the picture, we derived the equation I = (-Vmax/wL)*cos(wt+ø)

We used given data to calculate XL and to calculate Irms.

Last experiment we did today was the Inductors in Alternating Circuits.

We used a 110 turns inductor to find L and then found XL.

These are the graphs for currents and voltages. We needed to find Vrms, Vmax, Irms, and Imax on it.

This is the data we recorded for this experiment. We got an percent error of 12.5 %.

Conclusion

For today's class, we learned about alternating currents and voltages, and different cases in a AC circuit. We learned Capacitors in a AC circuit and Inductors in AC circuit.