Lab Day 25

During this day, we went over bode plots, which are plots in magnitude (decibels) and phase (degrees) of a transfer function versus frequency. The standard form of the Bode Plot contain many components: a gain K, a pole, a simple pole, and a quadratic pole. 

Here is a summary of rules when plotting Bode Plots:



This was the final blog entry for the class!!!

Lab Day 24

Signals With Multiple Frequency Components Lab 

In this lab we calculated the magnitude response of an electrical circuit and use this information to infer the effect of the circuit on some relatively complex input signals. We applied the following input signals types:

- a signal composed of multiple sinusoidal waves of different frequencies

- a sinusoidal signal with a time-varying frequency (aka sinusoidal sweep)

Here are the calculations for the pre-lab:

 This is a picture of our circuit:

Input voltage is a custom waveform: 20{sin(1000*pi*t)+sin(2000*pi*t)+sin(20000*pi*t)}:

 Here is the Vout across the resistor (blue) in comparison to the Vin (pink):

This is the calculation Theoretical vs Experimental with the %error.

In conclusion, we went over the transfer function, learned how to calculate gain and poles, and did a lab to see how input frequency affects the output graph.

Lab Day 23

Apparent and Power Factor Lab

The purpose of this lab was 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 pre-lab we calculated the theoretical values of the circuit: Current, Voltage, Average Power, Apparent Power, and Power Factor.

For this circuit we will change RT values. All of the circuits will have the same input of 1V at 5Khz.

Here is the output of circuit at RT=47 Ohm.

For second part of lab we insert a 10 microF capacitor in parallel with Inductor and RL. Here is the output of circuit with input of 1V at 5Khz,

According to our experiment, higher RT value results in higher percent difference with theoretical value. However, with capacitor inserted into the circuit, the percent difference is lowered drastically. 

Lab Day 22

On this day 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. We did not have a lab for this day.