Calculating resonant frequency in series RC oscillator

In summary, the formula to calculate the oscillating frequency of a series RC circuit with a constant DC voltage is based on the time constant set by the combination of the capacitor and resistor. The microcontroller in the circuit senses this time constant and adjusts the circuit accordingly to create a pulse signal. While the output may not be strictly sinusoidal, it is similar to using an on/off switch with the capacitor and resistor determining the speed. This concept is similar to the 555 timer chip.
  • #1
opticaltempest
135
0
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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  • #2
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.
 
  • #3
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.
 

1. What is a series RC oscillator?

A series RC oscillator is an electronic circuit that uses a combination of a resistor (R) and a capacitor (C) in series to generate a periodic output signal.

2. How do you calculate the resonant frequency in a series RC oscillator?

The resonant frequency (fr) in a series RC oscillator can be calculated using the formula fr = 1 / (2πRC), where R is the resistance in ohms and C is the capacitance in farads.

3. What is the significance of the resonant frequency in a series RC oscillator?

The resonant frequency is the frequency at which the circuit will exhibit maximum oscillation. It is a critical factor in determining the overall performance and stability of the oscillator.

4. How can I adjust the resonant frequency in a series RC oscillator?

The resonant frequency in a series RC oscillator can be adjusted by changing either the value of the resistor or the capacitor. Increasing the resistor value will decrease the resonant frequency, while increasing the capacitor value will increase the resonant frequency.

5. What are some practical applications of a series RC oscillator?

Series RC oscillators are commonly used in electronic devices such as radios, televisions, and computers to generate stable and precise signals for timing and frequency control. They are also used in electronic filters and amplifiers to shape and amplify specific frequencies.

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