Frequency of Oscillation in Colpitts Oscillator Solution

STEP 0: Pre-Calculation Summary
Formula Used
Frequency of Colpitts Oscillator = 1/(2*pi*sqrt(Effective Inductance of Colpitts Oscillator*Effective Capacitance of Colpitts Oscillator))
f(colpitts) = 1/(2*pi*sqrt(Leff(colpitts)*Ceff))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Frequency of Colpitts Oscillator - (Measured in Hertz) - Frequency of Colpitts Oscillator is a measure of the rate at which the oscillator generates repetitive, alternating electrical signals by the values of the inductance, capacitance.
Effective Inductance of Colpitts Oscillator - (Measured in Henry) - Effective Inductance of Colpitts Oscillator is the value of single common inductor placed across C1 & C2 to form tuned tank circuit.
Effective Capacitance of Colpitts Oscillator - (Measured in Farad) - Effective Capacitance of Colpitts Oscillator is equivalent capacitance value that represents the combined effect of multiple capacitors connected in a specific configuration.
STEP 1: Convert Input(s) to Base Unit
Effective Inductance of Colpitts Oscillator: 1.45 Henry --> 1.45 Henry No Conversion Required
Effective Capacitance of Colpitts Oscillator: 0.502 Farad --> 0.502 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f(colpitts) = 1/(2*pi*sqrt(Leff(colpitts)*Ceff)) --> 1/(2*pi*sqrt(1.45*0.502))
Evaluating ... ...
f(colpitts) = 0.186545283018753
STEP 3: Convert Result to Output's Unit
0.186545283018753 Hertz --> No Conversion Required
FINAL ANSWER
0.186545283018753 0.186545 Hertz <-- Frequency of Colpitts Oscillator
(Calculation completed in 00.020 seconds)

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Effective Capacitance in Colpitts Oscillator
​ LaTeX ​ Go Effective Capacitance of Colpitts Oscillator = (Capacitance 1 of Colpitts Oscillator*Capacitance 2 of Colpitts Oscillator)/(Capacitance 1 of Colpitts Oscillator+Capacitance 2 of Colpitts Oscillator)
Frequency of Oscillation in Colpitts Oscillator
​ LaTeX ​ Go Frequency of Colpitts Oscillator = 1/(2*pi*sqrt(Effective Inductance of Colpitts Oscillator*Effective Capacitance of Colpitts Oscillator))
Frequency of Oscillation in Hartley Oscillator
​ LaTeX ​ Go Frequency of Hartley Oscillator = 1/(2*pi*sqrt(Effective Inductance of Hartley Oscillator*Capacitance of Hartley Oscillator))
Effective Inductance in Hartley Oscillator
​ LaTeX ​ Go Effective Inductance of Hartley Oscillator = Inductance 1 of Hartley Oscillator+Inductance 2 of Hartley Oscillator

Frequency of Oscillation in Colpitts Oscillator Formula

​LaTeX ​Go
Frequency of Colpitts Oscillator = 1/(2*pi*sqrt(Effective Inductance of Colpitts Oscillator*Effective Capacitance of Colpitts Oscillator))
f(colpitts) = 1/(2*pi*sqrt(Leff(colpitts)*Ceff))

What are the advantages of Colpitts Oscillator

The Colpitts oscillator has several advantages, including its simplicity of construction and use, high stability, and ability to operate over a wide range of frequencies. It is also relatively easy to design and build, making it a popular choice for hobbyists and experimenters. Additionally, the Colpitts oscillator can be used to generate both AC and DC outputs, making it versatile for a variety of applications.

How to Calculate Frequency of Oscillation in Colpitts Oscillator?

Frequency of Oscillation in Colpitts Oscillator calculator uses Frequency of Colpitts Oscillator = 1/(2*pi*sqrt(Effective Inductance of Colpitts Oscillator*Effective Capacitance of Colpitts Oscillator)) to calculate the Frequency of Colpitts Oscillator, Frequency of Oscillation in Colpitts Oscillator determined by taking the reciprocal (1 divided by) of 2π times the square root of the product of inductance (L) & Effective capacitance (ceff). Frequency of Colpitts Oscillator is denoted by f(colpitts) symbol.

How to calculate Frequency of Oscillation in Colpitts Oscillator using this online calculator? To use this online calculator for Frequency of Oscillation in Colpitts Oscillator, enter Effective Inductance of Colpitts Oscillator (Leff(colpitts)) & Effective Capacitance of Colpitts Oscillator (Ceff) and hit the calculate button. Here is how the Frequency of Oscillation in Colpitts Oscillator calculation can be explained with given input values -> 0.186918 = 1/(2*pi*sqrt(1.45*0.502)).

FAQ

What is Frequency of Oscillation in Colpitts Oscillator?
Frequency of Oscillation in Colpitts Oscillator determined by taking the reciprocal (1 divided by) of 2π times the square root of the product of inductance (L) & Effective capacitance (ceff) and is represented as f(colpitts) = 1/(2*pi*sqrt(Leff(colpitts)*Ceff)) or Frequency of Colpitts Oscillator = 1/(2*pi*sqrt(Effective Inductance of Colpitts Oscillator*Effective Capacitance of Colpitts Oscillator)). Effective Inductance of Colpitts Oscillator is the value of single common inductor placed across C1 & C2 to form tuned tank circuit & Effective Capacitance of Colpitts Oscillator is equivalent capacitance value that represents the combined effect of multiple capacitors connected in a specific configuration.
How to calculate Frequency of Oscillation in Colpitts Oscillator?
Frequency of Oscillation in Colpitts Oscillator determined by taking the reciprocal (1 divided by) of 2π times the square root of the product of inductance (L) & Effective capacitance (ceff) is calculated using Frequency of Colpitts Oscillator = 1/(2*pi*sqrt(Effective Inductance of Colpitts Oscillator*Effective Capacitance of Colpitts Oscillator)). To calculate Frequency of Oscillation in Colpitts Oscillator, you need Effective Inductance of Colpitts Oscillator (Leff(colpitts)) & Effective Capacitance of Colpitts Oscillator (Ceff). With our tool, you need to enter the respective value for Effective Inductance of Colpitts Oscillator & Effective Capacitance of Colpitts Oscillator and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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