Sinusoidal analysis 2

We started class with learning about impedance and admittance. We observed and showed which element corresponds to which graph in following picture.

If its same phase angle then it’s resistor. If voltage is leading current then its inductor and if current is leading the voltage than its capacitor.

Impedance is all the resistances within a circuit, with different methods of calculation depending on the circuit components. 

We did following problem on how to solve for v(t) and i(t) of RC circuit using phasors.

following problem is to solve for v(t) or RL circuit

We did following problem to solve for the impedance of a circuit with parallel components.

In the following problem we solved for total impedance using the phasor method

Impedance LAB: 

In this lab experiment we measured impedance of resistors, capacitors, and inductors and compared it with theoretical values. 

We used ......

47 ohm Resistors and 100 ohm Resistors

1 mH Inductor

0.1 MF Capacitor

breadboard

wires

analog discovery

2VDC sine function at specific frequencies (1KHz, 5KHz, 10KHz) was applied to circuit, and output current from the 47 Ohm resistor and output voltage 100 Ohm resistor was measured. 

Following is the setup of our circuit.

Following is Input graph with different frequncies

Here's output graph of 2VDC sine graph at 1KHz


Following is the output graph of 2VDC sine graph at 5KHz



Following is the output graph of 2VDC sine graph at 10KHz



PART B:
2V DC sine function at specific frequencies of 1KHz, 5KHz, and 10KHz was applied to circuit, and output current from the 47 Ohm resistor and output voltage from the mH was measured. 


Following is the graph of output at 1KHz



sine Graph of output at 5 KHz


following is the sine output graph of 10KHz




Part C:
we measured output current from the 47 ohm resistor and output voltage from 0.1 mH by applying the  2VDC sine function at specific frequencies (1KHz, 5KHz, 10KHz)  to circuit,.

Following is the setup of the circuit


Following is the output graph of 2v DC sine graph at 1KHz.



Following is the output graph of 2v DC sine graph at 5KHz.



Following is the output graph of 2v DC sine graph at 10KHz.


Following is the results from the three circuits, including their voltage and current measurements, and their time difference from peak to peak



In following problem we solved for total impedance in a RLC circuit.

SUMMARY: we learned about impedance and admittance, and how to solve for them within circuits involving Resistors, Inductors, and Capacitors. We also did a lab to see how impedance works in circuit.