Question

I have written my answers in for the one i may of understood!Any help would be great even explanation on how to dothe parts....PLEASE HELP THANK YOU!!!!!!!!!

B. One can purchase so-called Ceramic speakers which haveavibrating ceramic instead

of a coil-driven cone to produce sound waves. These arecapableof producing

frequencies well above the range of human hearing and, infactare used for sonar and

ultrasound applications. The disks used have aconductivecoating applied to either side

of the disk and the ceramic material reacts to anappliedvoltage by contracting or

expanding by an amount proportional to the voltage.Thesedevices are capacitive rather

than inductive.

1. Write the expression for the impedance of such a speakerinterms of the resistance

and capacitance.

2. Find an expression for the frequency ω at whichtheresistance equals the reactance of

the ceramic speaker, in terms of R and C.

3. With R = 8Ω and C = .25μF, calculate thefrequency ω, withunits, that will give R =

XC .

4. Using ωo for the frequency you calculated in 3,calculatethe total impedance, Z, for

the following frequencies and plot the results on the logplotprovided.

Table

ω/ ωo 10-4 10-3 10-2 10-1 1 10 102 103 104

Xc

Z

6. Locate your answer for part (2) on the plot. What featureofthe plot corresponds to

that answer? [4 points]

7. Describe how to quickly sketch this log-log plot for anRCcircuit with only one

calculation, based on your answer to (6). [5 points]

Impedance

0

1

2

3

4

5

6

7

2 3 4 5 6 7 8 9 10

log(omega)

log(Z)

8. Using the same resistance of 8Ω, what value fortheinductance in an LR circuit would

give XL = 8Ω at the same ωo value calculated in 3?

9. Using ωo for the frequency you calculated in 3,calculatethe total impedance, Z, of the

LR circuit for the following frequencies and plot theresultson the log plot provided.

Table

ω/ ωo 10-4 10-3 10-2 10-1 1 10 102 103 104

XL

Z