Day 21 Sinusoidal Analysisc

We started the day with talking about impedance and admittance. V = ZI, V/I = jwL, V/I = 1/jwC.
We then wrote it down on the white board.

White board work of finding Z. Z = R + jX

We then move onto an example to do.

White board work we used 10 cos4t. First we found the phasor domain of the circuit. and then used i = vs/Z

White board continued. i = Vs/Zc and Vc = IZc.

White board work we had to multiply top and bottom with the conjugate of bottom to get the numbers right.

We then move onto another example.

White board work, used Zc = 1/jwC, -j = -90 degrees.

We then move onto the lab of the day: Impedance
Prelab: White board work of the prelab for phasor for each Vr and V(t). Plus other information.

White board work of the prelab.

White board work of pre lab with circuits drawn and values.

White board work of more prelab and other stuff.

Following pictures of the lab, data and white board at the end.

Picture of the signals with data at bottom. period is 1ms. Vin 1.5V, Vout .5 V.

Picture of data for 1khz signal, Vin = 1.37, Vout = 600 mV. Period  = 1ms.

Clearer picture of the one above.

Clear picture with R = 100 ohms, same data as above.

Clear picture then before same data for 1khz signal. Period 100 us.

Picture of Vin and Vout for 1khz, R = 100.

Picture for 10 khz.

Picture of data at 10 khz, Vin = 1.3V Vout = 570 mV. Period = 100us

Picture with capacitor at 1khz.

Picture with capacitor added C1 = .47uf

Picture same as above for data.

Picture of data at 1khz for Capacitor. Vin = 1.5V Vout = 535 mV. Period 1ms.

Picture at 5kz for C1.

Picture of the signals for 5 khz capacitor. Period 1.6 ms.

Picture of data same signal as above.

Picture of data at 5khz capacitor. Vin  = 1.45 V, Vout = 156 mV. Period is 200 us.

Picture of capacitor at 10khz.

Picture of signal at 10khz for capacitor.

Picture of data of same signal as above.

Picture of data of signal at 10khz for capacitor. Vin = 1.5 V, Vout = 116 mV. Period 100 us.

Picture of 1khz inductor. L = 1m H.

Picture of signal of 1khz inductor.

Picture of data same picture as above.

Picture of data of 1khz inductor. Vin = 1.5 V, Vout = 250 mV. Period = 1 ms.

Picture of 5khz inductor.

Picture of 5khz signal of the inductor.

Picture of data same as above.

Picture of data for 5khz signal of inductor. Vin = 1.4 V, Vout  = 927 mV. Period 200 us.

Picture of 10khz of inductor.

Picture of the 10khz signal for inductor.

Picture of data same as above.

Picture of data for 10khz inductor. Vin  = 1.4 V, Vout = 1 V. Period 100us

Picture of the inductor circuit.

Picture of the inductor circuit. Edgar does great wiring.

White board work of post lab stuff and calculations.

White board work of post lab work and calculations.

More post lab white board work.

White board work continued for lab.

Octave work that Jon did for us. Fancy and efficient work!

Picture of the Octav work for the three circuits with having in order R = 100, and then current and then Voltage. This would be our tabulate for post lab.

In conclusion of the lab we saw the Vout differ for each different frequencies. The period also change with frequency. Depending on the type of circuit for the Capacitor circuit the change of frequency cause the voltage to drop for each increase of frequency and the period to change to 100, 200, and back 100 us for 1k, 5k, and 10khz respectively. For the Inductor circuit the change of frequency case the voltage to increase and the period to change to drop from 1ms, 200us to 100us for each change respectively. The calculations were done by Jon and all are correct.

Lastly we did example of combining Z impedance.
We worked an example.

White board work of example. First transform everything to phasor domain. Do parallel Zc||Zl and then add R. Then voltage division. Lastly back to time domain.

White board work of changing to phasor domain and back to time domain.

Lastly we talked about phase shifters.

White board work of the example.

In summary we started the day with impedance. We had examples of how to change capacitors and inductors to the phasor domain. We then did a long lab for three frequency and see how the R,L,C circuits behave with different frequency. We learned that for C circuits frequency increase caused Vout to drop and the inverse is true for L circuits. For R it didn't matter. Lastly we talked about phase shifter and how they can be useful.