Oscillator Frequency Calculator:
Enter the values of resistor, R(Ω), capacitor, C(F)and number of stages, N to determine the value of Frequency, f(Hz).
Oscillator Frequency :
An oscillator is an electronic circuit designed to generate a continuous, repeating signal, typically in the shape of a sine wave or square wave. These circuits have numerous applications, including in clocks, radios, computers, and signal generators.
The frequency of an oscillator indicates the number of oscillations or cycles it completes each second, measured in Hertz (Hz). One common example is the RC (resistor-capacitor) oscillator, which relies on resistors and capacitors to set the oscillation frequency.
In more complex oscillator circuits, the number of reactive components like capacitors or inductors and other factors such as gain or feedback level can influence the frequency.
The frequency depends on the values of the resistor (R), capacitor (C), and the number of stages (N) or components involved in the circuit.In some designs, such as multivibrators and phase-shift oscillators, the frequency is calculated using mathematical constants and square roots due to phase delays.This formula can be used in signal processing and analog circuit design to precisely control timing and waveform generation.
It is important for circuit designers to understand how R, C, and N affect the output frequency to maintain reliable operation.If either R or C is increased, the frequency typically decreases, and vice versa.The square root of the number of stages (N) plays a role in adjusting for delay across multiple circuit elements.
The constant pi (π ≈ 3.1416) comes from the mathematical relationship of sine waves and circular functions in the design.This formula is ideal for calculating the oscillation frequency in multi-stage RC oscillators.
All units should be in standard SI: R in ohms (Ω), C in farads (F), and frequency in Hertz (Hz).
Frequency, f(Hz) in Hertz equals 1 divided by the product of 2 times pi, resistor, R(Ω) in ohms, capacitor, C(F) in farads, and the square root of 2 times the number of stages, N.
Frequency, f(Hz)= 1 / 2 * 3.14 * R(Ω) * C(F)* √(2 * N)
f(Hz)= frequency in Hertz, Hz.
R(Ω) = resistance in ohms, Ω.
C(F)= capacitance in farad, F.
N = number of stages.
Oscillator Frequency Calculation:
- An oscillator has a resistor R = 10,000 ohms, a capacitor C = 0.000001 F (1 µF), and the number of stages N = 3. Find the oscillator frequency.
Given: R(Ω) = 10000Ω, C(F)= 0.000001F, N = 3.
Frequency, f(Hz)= 1 / 2 * 3.14 * R(Ω) * C(F)* √(2 * N)
f(Hz)= 1 / 2 * 3.14 * 10000* 0.000001* √(2 * 3)
f(Hz)= 1 / 6.2832 * 0.01 * √6
f(Hz)= 1 / 0.1538
f(Hz)= 6.5Hz.
- If an oscillator is required to produce a frequency of 100 Hz with a capacitor of 0.00001 F and 2 stages (N = 2), what resistor value should be used?
Given: f(Hz)= 100Hz, C(F)= 0.00001F, N = 2.
Frequency, f(Hz)= 1 / 2 * 3.14 * R(Ω) * C(F)* √(2 * N)
R(Ω) = 1 / 2 * 3.14 * f(Hz) * C(F)* √(2 * N)
R(Ω) = 1 / 2 * 3.14 * 100 * 0.00001* √(2 * 2)
R(Ω) = 1 / 6.2832 * 100 * 0.00001 * √4
R(Ω) = 1 / 0.0125664
R(Ω) = 79580Ω.