Calculating resonant frequency in series RC oscillator

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SUMMARY

The resonant frequency of a series RC oscillator can be calculated using the time constant defined by the resistor (R) and capacitor (C) values in the circuit. When a constant DC voltage is applied, the capacitor initially charges through the resistor, creating a time delay before the voltage stabilizes. This behavior is similar to that of a 555 timer chip, which generates pulse signals based on the RC time constant, resulting in a sawtooth waveform rather than a pure AC sinusoidal output. Understanding this mechanism is crucial for effectively utilizing RC oscillators in microcontroller applications.

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  • Understanding of RC circuits and their components
  • Familiarity with the 555 timer chip and its operation
  • Knowledge of voltage charging and discharging principles
  • Basic concepts of microcontroller functionality
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Electronics enthusiasts, microcontroller developers, and engineers interested in oscillator design and waveform generation techniques.

opticaltempest
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What is the formula to calculate the oscillating (resonant?) frequency of a series RC circuit with a constant DC voltage?

For example the RC circuit shown at this site:

http://www.mikroelektronika.co.yu/english/product/books/PICbook/2_02chapter.htm"


How does this circuit resonate with a DC voltage? Aren't capacitors supposed to act like an open circuit to DC voltage?

I have searched all over using google but cannot find details on RC oscillators.
 
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There is more going on inside the microcontroller than you are able to see. The RC circuit sets up a time constant. When the voltage is first applied to the circuit there is a specific amount of time it takes before the voltage at the node of the capacitor and resistor reaches a specific level.
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Think of it this way: The microcontroller senses this voltage and modifies the circuit to discharge the capacitor at a specific rate. Then it senses a lower limit and allows the capacitor to charge again.
 
I'm no expert but it sounds like the 555 timer chip. This chip uses capacitors and resistors as a reference time constant, then from this creates a pulse signal. By the way the output of the 555 timer is not strictly A/C sinsoidal but sawtooth.So almost like using a rapid on/off switch with C & R setting the speed.
 

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