Impedance and AC analysis I

In this lab we explore the effects of RLC circuits on the impedance of a system. The RL circuit will be connected to an inductor and the impendance can be determined as Z_L=R_L+jwL

the resonant frequency of this configuration is found to be 20khz

the circuit is more inductive at over 20khz and more capacitive and under 20khz

PSPICE for Thevenin and Norton Equivalents

In this lab we use PSPICE to analyze circuits for thevenin and norton equivalents.

This is the initial PSPICE tutorial and introduces us how to do analysis with PSPICE.
The next section introduces us to thevenin analysis in PSPICE

And finally, Max power transfer using DC sweep.

Deliverable:

Op Amp Applications

AC Signals #1

AC Signals #1

In this lab we analyze sinusoidal signals.

We energize a function generator to 10V at 1kHz

The signal is 10V peak to peak and we get an V_rms of 3.72V

Our calculated V_rms being 3.53 it is within

The complex impedance of the 100-nF capacitor is 1/2*pi*f*C, 159/ohm

Building the circuit, the peak to peak voltage is 8V

Recording the RMS value of the capacitor voltage is 2.93V

These values reconcile and make sense.

The time difference between the two waveforms is 1.8*50us = 90us

Time shift/period * 360 = phi

phi = 32.4

resistor leads the capacitor

We increase f to 10kHz

Zcap = 159.15 ohms

Vcap = 1.52 volts

RMS vaue of the voltage is measured to be .435 volts

these values make sense.

t_x of the two waveforms using cursors = 20us

the phase angle between the two signals = 20us/.1ms*360 = 72 degrees

The peak to peak capacitor voltage is 3.6*2*20 = .144V

V_cap = .046 Vrms

these values reconcile

t_x = 2.5*10us

phi = 90 degrees

R_box = 330 ohms

Vcap = 1.17V

the time difference between the peaks is 18us

phase angle 64.8 degrees

The low range has the highest capacitor voltage

the high range has the smallest capacitor voltage

Since we are filtering out high frequences, it is a low pass filter

resistor always leads the capacitor in phase

at high frequences the phase differences tends to 90 degrees, zero contribution from capacitor.

Capacitor Charging/Discharging

 Capacitor charging and Discharging Lab

In this lab we considering charging and discharging a capacitor in order to see the rate at which energy is absorbed and which energy is released.

For figure 6, we calculate the thevenin voltage and resistances.

Vth = R_leak/(Rleak+Rcharge)*Vs

Rth=Rcharge*Rleak/(Rcharge+Rleak)

discharge is the same.

For a 9V DC power supply, 20s of stored energy that discharges in 2s, compute the capacitance:

7.5MJ = 1/2CV^2=.617 uF

R=68.4Kohm

peak current of 1.39uA. our box can handle this power.

We set up the experiment and take pictures of the discharge and charging curves. The pictures above show our resulting graphs.

FreeMAT

In this lab we solve a matrix using FreeMAT.
I will use MATLAB to do the same thing.

The equation:

The solution:

>> x=[20 30;5 -10]
x =
    20    30
     5   -10
>> y=[15; 7]
y =
    15
     7
>> x^-1*y
ans =
    1.0286
   -0.1857
>>

i2= 1.0286 A
i3=-.1857 A

Operational Amplifiers I

In this lab we are introduced to operational amplifiers. Op Amps are very important and one of their most valuable functions is as a voltage controlled voltage device.

Here is the work in my lab notebook that has data and calculations to go along with the above experiment.

Here we calculate values and see that they are all proportional to the initial condition so I do not bother to finish filling out the table ( you can see for yourself what the trend will be toward).

Here is professor mason's signature showing I have completed the lab.