05-17-2016

Lecture: Review learned technique within AC circuit:

I. Introduction:

Given the new concept of the impedance, we were asked to list out many techniques we had learned in DC circuit. The good news is that even though with imaginary, all the techniques we learned in the past still hold true

Here we listed out as many techniques as we had learned before

II. Practice:

Given the circuit, we had to use nodal analysis to find out the two equation of V2 and V1

Solving system of imaginary equation requires a lot of techniques, it could be easier if we have mathlab comes in handy

Here we applied mesh analysis to find i1, i2, and i3. After we found out the new 3 equations, we let mathlab solved for our 3 unknowns

III. Phase shift

Here we compared the two voltage sources. The blue one is from our power supply and the red one is the voltage across the capacitor, which indicates it has some lagging

Here is our data analysis, we let the omega=R/L to get the initial base frequency, the second, third, fourth is just multiplied by 10,100,1000.

Simple conversion from imaginary to poplar to time domain

Some more practice with mesh analysis

Using the source transformation to find the Vth of circuit

III. Conclusion:
Today lab, we did some more experiments with the inductor in series within a circuit. We reviewed the old techniques we learned back then in DC current with the only thing changed is that the frequency could affect the outcome complex resistance of the capacitor and the inductor