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## Homework Statement

I am having a bit of trouble with a homework problem on relaxation oscillators, the schematic is shown below:

https://webspace.utexas.edu/sz233/Relaxation%20Oscillator.png [Broken]

The original problem states:

derive a relationship for the period of oscillation for a relaxation oscillator in terms of R1, R2, RC, V

_{CC}

and V

_{EE}.

## Homework Equations

So I know from E&M that

V=IR, and C=Q/V.

also, I know that dq/dt = I

## The Attempt at a Solution

from this, I deduce, possibly erroneously, that

[tex] V_- = IR +\frac{1}{C} \int I(t)dt[/tex]

so

[tex] 0 = R \frac{dI}{dt} + \frac{1}{C} * I(t) [/tex]

then

[tex] \frac{dI}{I} = - \frac{1}{RC} dt[/tex]

it follows that

I = I

_{0}Exp[-t/RC]

given that current doesn't change at the + or - poles on the amplifier, then this should be the same current that goes through V

_{+}thus using the voltage divider formula,

[tex]V_out = V_+ * \frac{R_2}{R_1 + R_2}[/tex]

Now, how do I relate the V

_{out}here with the current from above?

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