If somebody can please help me with this multi-part question and show me how to

Question

If somebody can please help me with this multi-part question and show me how to do it, I'd appreciate it greatly. If you help me, please answer my questions with work and not just answers thrown out as they don't really help me and I won't bother rating the question.

If somebody can please help me with this multi-part question and show me how to do it, I'd appreciate it greatly.

A)

 (i)

Figure: http://i42.tinypic.com/2dsh2zm.jpg

For the phase-shift oscillator of the following figure, how do I find the value of Rf needed for oscillation and the frequency (fo) of oscillation?

Rf=_________(k ohms)

Fo=__________(HZ)

B)Â

(i) Figure: http://i41.tinypic.com/50o2ug.jpg

For the Wien bridge oscillator for the following figure, how do I find the value of Rf needed for osciallation and the frequency (fo) of osciallation?Â

Rf=________(k ohms)

Fo=_________(Hz)

C) If stabilization of any of the osciallators from questions A or B is to be done by automatically adjusting resistance Ri, we have that as the output osciallation strength tends to increase, the non-inverting amplifier gain (for Question B) or the inverting amplifier gain (for question A) will automatically____________(increased/decreased), and thus, Ri will be automatically _________(increased/decreased) in value.

D)

Figure: http://i42.tinypic.com/x4gos4.jpg

(i) For the following figure, determine the slopes of the curve in different regions.

a)Slope in region 0ms<t<1ms is _________(V/s)

b) Slope in region 1ms<t<2ms is _________(V/s)

c) Slope in region 3ms<t<4ms is _________(V/s)

(ii) What is the differential equaation that relates output Vo(t) to input Vi(t) for an OP-Amp differentiator using the gain constant of K= 3x10^-3(s)

V0(t)=__________

(iii) The waveform of the figure is fed into an OP-amp differentitiator with a gain constant of K = 3x10^-3(s). Which sketch of the waveform output of the differentiator is the correct one?

Figure: Figure: http://i42.tinypic.com/x4gos4.jpg

choices: http://i39.tinypic.com/35hha1i.jpg

Explanation / Answer

a) F = 1/(2*pi*R*C*sqrt(6))

F = 1/(2*pi*R*C*sqrt(6))

F =333 Hz

Rf= 29Rb = 29*10k = 0.29M ohm

b) F = 1/(2*pi*R*C)

F = 800

Rf= 3 Ri = 3*10k = 30 K ohm

c)

a)Slope in region 0ms<t<1ms is (4-0)/(1m-0) = 4000(V/s)

b) Slope in region 1ms<t<2ms is (4-4)/(2m-1m) = 0(V/s)

c) Slope in region 3ms<t<4ms is(-4-0)/(3m-2m) = -4000(V/s)

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