(5/2/2017) Day 18: 2nd Order Circuits and Series RLC Circuits Step Response

Day 18: 2nd Order Circuits

Lab: Series RLC Circuit Step Response

This lab introduced the modelling and testing of a series RLC circuit.

Prelab:

We were asked to write a second order equation for the RLC circuit in question.

Doing this gave us a damping ratio equation we can use that gives us a value of 0.005
This is less than 1, showing us that the circuit acts as an underdamped case!

With this in mind we continued on to the exercise.

Procedure:

After building the circuit, we hooked up an oscilloscope probe to read the output for comparison.

Here is the analog discovery input to the circuit

and the output voltage for the capacitor.

This is actually close to the behavior we expected to see from an underdamped squarewave input, albeit not as exaggerated.

(5/9/2017) Day 19: 2nd Order Circuits (Pt2) and RLC Circuit Response

Lab: RLC Circuit Response

Prelab:

(5/25/2017) Day 24: Apparent Power and Power Factor

Day 24: Apparent Power and Power Factors

(5/23/2017) Day 23 AC Op Amps, Oscillators, AC Power and Op Amp Relaxation Oscillator

Day 23: AC Op Amps, Oscillators, AC Power

Lab: OP Amp Relaxation Oscillator

In this lab we were asked to construct a relaxation oscillator using an Op Amp.
To do this we took advantage of a configuration of an Op Amp often referred to as a "comparator" that acts as a useful switch when one of the two input voltages is greater than the other.

Prelab:

An interesting parameter of this circuit was to use the last 3 digits of one of our student IDs!

We used the frequency 438Hz.

from there we obtained the values for our capacitor and resistor.

To test the functions of the Op Amp oscillator, we designed it in EveryCircuit and "injected noise" by "shaking" it.

and then a couple of seconds later...

f = 441 Hz

Procedure:

With the behavior of our circuit confirmed, we set out to build it!

Then we measured the voltage of the output and the voltage across the capacitor for comparison.

Results/Summary:

The resulting voltages have a striking resemblance to the ones from the lab book!

Since we achieved the results we sought, no further modifications were needed for this experiment.

(5/18/2017) Day 22: Sinusoidal Circuit Analysis (Pt2) (No Lab)

Day 22: Sinusoidal Circuit Analysis (Pt II)

(5/11/2017) Day 20: Sinusoids and Phasors and Phasors: Passive RL Circuit Response

Day 20: Sinusoids

 Lab: Phasors - Passive RL Circuit Response

Prelab:

We first had to show that the amplitude gain and phase difference were as the lab packet had implied.

Then we found the cut off frequency Wc for the values of L = 1mH and R = 47 Ohms.

Procedure:

The circuit was pretty straightforward, so the fabrication stage of this lab was a breeze.

We then input the 3 frequencies required for analysis. Using the analog discovery, we displayed the v(in) - yellow, the v(L) - blue, and the i(in) - red by using the equation:

To measure the Gain we used:

and for the Phase difference we used:

Wc/10 = 4.7k

Wc = 47k

Wc*10 = 470k

Here are some tabulated results for the gain, and percent differences.

Summary: