05-24-2016

Lab: Maximum power transfer in AC circuit

I. Introduction:

We had learned how to find the maximum power transfer we learned back then in DC current using the Thevenin equivalent. Given the definition of eff( rms ) value, how could we solve the maximum power transfer problem

Given the equation, we have to solve for I_eff which is also its own definition.

To find Vrms, in this case we simply need to divided by square root of 2

Rule of thumb: ELI the ICE man. ELI: voltage lead current in the inductor, ICE: current lead inductor in the capacitor load

Here we solved for the complex power of the circuit, which is the combination of average power and reactive power

Here we solve for transparent power by just taking the absolute value of the complex power

III. Phase Shift Lab:
For this lab, we are going to observe voltage lead current for the inductor, and current leads voltage for the capacitor

Here is our calculation of the lab

In this case the yellow graph is the graph of the power supply, where as the blue is the voltage across the capacitor

Here we find the apparent power in the pre-lab using the given information

We converted everything to frequency domain then we used that to do our calculations

The yellow is the voltage of the supply, where as the the blue is the voltage across the inductor.

III. Conclusion:
For today lecture, we learned more about how to find the complex power based on the relationship between the average power and the reactive power. The complex power is a short way of represenation of the combination of those two. We also verified our knowledge about ELI the ICE man, which tells us that the voltage leads current in the inductor and current leads voltage in the capacitor.