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ICs oscillators and filters<br />

Ouch, that hertz<br />

We can calculate the rate at which the LED flashes, more<br />

accurately, from formulae relating to the 555. A quick study<br />

of the square wave output shows that it consists of a higher<br />

voltage for a time (which we can call T1) and a lower voltage<br />

for a time (which we will call T2).<br />

Now, T1 is given by:<br />

and T2 is given by:<br />

So, the time for the whole period of the square wave is:<br />

and as the frequency of a waveform is the inverse of its period<br />

we may calculate the waveform’s frequency as:<br />

Earlier, we defined the two time constants, τ 1<br />

and τ 2<br />

, as<br />

functions of the capacitor and the two resistors, and so by<br />

substituting them into the above formula, we can calculate<br />

the frequency as:<br />

(1)<br />

109

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