Day 26

Day 27

Today was a short lecture on Bode plots. We had the rest of the time to work on our projects.

Above is an example of finding frequency and we see that we get a gain of a factor of 10.

After we went over bode plots, we did our first example on how to draw the plots for gain and phase angle vs angular frequency.

another example as we were still unclear on how to do them.

We had to ask for one last example since most of the class had trouble drawing the plots correctly.

Day 25

Today we went over apparent power and power factor, and did an Apparent Power and Power Factor Lab to measure a circuit's apparent power and power factor.

To the left we have the equations necessary for solving for apparent power and power factor. To the right we have an example and we find that for inductors, current lags voltage.

Above we see represent real power as P and Q represents imaginary (reactive) power in apparent power.

 Apparent Power and Power Factor Lab:

The purpose of this lab is to use apparent power and power factor to quantify the AC power delivered to a load and the power dissipated by the process of transmitting this power.

For the prelab we calculated the theoretical values of the circuit shown in blue for the 10, 47, and 100 ohms.

Our results are displayed in pink and we see that for the 10 ohm resistor and the capacitor included in the circuit we get great within uncertainty. We see that when a capacitor is placed in parallel with an inductor, the phase angle decreases dramatically.

Input wave for all three resistor values.


Output for 10 ohm resistor


Output for 47 ohm resistor


Output for 100 ohm resistor


This is the output was when a capacitor was placed in parallel with the inductor using the 100 ohm resistor.

Above are the circuits for part one and part two respectively.

Day 24

Today we reviewed Inductor and its parameters, went over average and maximum power calculation within AC circuits, and saw a demonstration to see how RMS values dictate maximum power of AC circuits.

Above is an are the equations for average power in the frequency domain. In blue we calculated how many turns it would take to make a 1H inductor.

Above we did an example of average power transfer in the frequency domain.

Next we derived max power transfer in the frequency domain.

Above we did an example on finding the thevinin equivalent impedance to find max power.

Above we have a DC source on the right and AC on the left so we see that it would take about twice the voltage of AC to produce the same brightness as DC. Due to rms currents.