sinusoidal circuit analysis day22

Today we started class with learning about sinusoidal steady state analysis.  Following are steps to analyze AC circuits.
1.  Transform the circuit to the phasor or frequency domain.

2.  Solve the problem using circuit techniques (nodal analysis, mesh analysis, superposition, etc.).

3.  Transform the resulting phasor to the time domain.

We did following AC Circuit problem using nodal analysis. 

We did following AC Circuit problem using Mesh analysis and Superposition therom.

LAB: Phasors: Passive RL Circuit Response

In this experiement we analysed circuit by representing the sinusoidal signals as phasors. The phasors provide the amplitude and phase information of sinusoidal signals. by comparing input and output of the phasors, the effects was represented as an amplitude gain and phase difference between the output and input signals.

Following is the setup of our RL circuit.

WE measured gain and phase responses of passive RL circuit and compare the measured values with calculated values.

The omega values we get from the formula yields graphs that are in phase. so we changed omega to 10KHz and 20KHz. The circuit consists of 1 Inductor (1 microH), 1 Resistor (1.1 Ohm), and a Analog Discovery Device to provide input and measure output.

Output from input of 10KHz:

Output grpah from input of 20KHz

Graph of input sine function at 2V

We did following problem using source transformation , Thevenin and Norton Equivalent circuit

V _Th = Z _N I _N ,        Z _Th = Z _N

V _Th is the open-circuit voltage while I _N is the short-circuit current.

Summary: We learned about AC circuits using nodal analysis, mesh analsysis, thevenin and norton equivalent, and source transformation.