Andrew, excuse me, please. I apologise for my sarcastic response to your query. It was not appropriate, and I am sorry to have been so unthinking. I do not visualize my role here on Physics Forums as a teacher. I do think that I can occasionally direct someone’s attention to a source of information whereby they may, through some effort and self-study, discover the information they are seeking.
The 555 timer is known as the “venerable timer” because it’s been around more than forty years. Probably it is the most used timer IC on our planet. To control the operation of this venerable IC one does not “throw in a potentiometer”; an exact procedure is used to get the desired outputs.
The frequency of oscillation of the 555 astable multivibrator depends only on the resistor-capacitor chain (RA,RB,C) and is independent of the power supply voltage Vcc.
On charging, the external capacitor C charges through resistors RA and RB. The charging time t1 is given by
t1 = 0.693 (RA + RB) C
and this part of the cycle is signaled by a high level on the output (pin3).
On discharge, the external capacitor C discharges through the resistor RB into pin 7 which is now connected internally to ground. The discharge time is given by
t2 = 0.695 RB C
and this part of the cycle is signaled by a low level on the output.
The total time for one oscillation (the period T) is given by the sum of these two times
T = t1 + t2 = 0.695(RA + 2RB) C
The frequency F is given by the reciprocal of the period, or
F = 1.44/(RA + 2RB)C .
With the appropriate choices of external timing components, the period of the oscillation can range from microseconds to hours.
The duty cycle DC is the ratio of the time the output is low as compared to the period
DC = RB/(RA + 2RB)
The duty cycle is always less than 50% or saying it another way, the off time t2 is always less than the on time t1. Thus the output of the 555 astable circuit is asymmetric. By making RB large compared to RA, the waveform becomes more symmetric and the 555 output approaches a square wave.
The following seven websites describe the operation and use of the venerable 555 which may be useful in your project. All were found using the Google search engine:
This calculator computes the resistors and capacitors for a NE555 timer chip, which has been configured as an astable multivibrator (oscillator), or square wave generator. Just enter in the duty cycle and the frequency and the calculator will compute reasonable values for the resistors and capacitors.
http://www.daycounter.com/Calculators/NE555-Calculator.phtml
http://www.electro-tech-online.com/...at/118042-ramp-generator-using-555-timer.html
http://www.electronixandmore.com/projects/tvtoscope/
http://www.usaarl.army.mil/TechReports/82-10.PDF
http://en.wikipedia.org/wiki/555_timer_IC
http://www.eleinmec.com/article.asp?1
http://electronicsclub.info/555timer.htm