Practical Electronics/Generators/Oscillators

From Wikibooks, the open-content textbooks collection

Jump to: navigation, search

Contents

[edit] Intro

Oscillator is a device that generates oscillation .

[edit] Electronic Oscillation

Electronic Oscillator is an electronics circuit that generates oscillation when circuit is in resonance a natural process when all the frequency components cancel out . Commonly found in LC and RC Phase Shift

In electronics, oscillation occurs when the following conditions are met

  • Output voltage is equal to input voltage and inverted
  • The Phase Angle difference between input and output voltage must be 180

[edit] Passive Oscillation

With Series LC or Parallel LC . At Resonance, the frequency dependent components will cancel out ie impedance of inductor will cancel impedance of capacitor ZL + ZC = 0

ZL = ZC
\omega L = \frac{1}{\omega C}

Solving for ω

\omega = \sqrt{\frac{1}{LC}}

Since ω = 2πf therefore

f = 1/2π \sqrt{\frac{1}{LC}}

This frequency is called Resonance Frequency and usually denoted as fo

At Resonance Frequency

VL = ZC or VLZC = 0 or VC = − ZL

The voltage of the series LC keeps oscillating between inductor's voltage and capacitor's voltage between phase angle 0 - 180

In LC circuit, oscillation occurs at the resonance frequency
f = 1/2π \sqrt{\frac{1}{LC}}

[edit] Active Oscillation

[edit] Fixed Frequency Oscialltor

For active cicuit, to meet the requirement for oscillation require

An Inverter that has output voltage equals to input voltage and inverted . So any Transistor or Op Amp Amplifier can be configured to act as an Inverter
A Feedback circuit between input and output that provides 180 degree difference in phase angle . This can be achieved through Resonant Tuned LC circuit or three stage of RC Phase Shift with each stage has a phase shift of 60

For Resonant Tuned LC circuit, the oscialltion frequency is equal to the resonant frequency

fo = 1/2π \sqrt{\frac{1}{LC}}

When choosing the value of  \sqrt{\frac{1}{LC}} in power of 10 so that  \sqrt{\frac{1}{LC}} is equivalent to 10-½n then the oscillating frequency can be calculated by

fo = 0.3 x 10-½n


For RC Phase Shift

Tanθ = 1/2π f \frac{1}{RC}
Tan 60 = Sin 60 / Cos 60 = \frac{\frac{\sqrt{3}}{2}} {\frac{1}{2}} = \sqrt{3}

Therefore the frequency change through phase change is

f = 1/2π \sqrt{3} \frac{1}{RC}

When choosing the value of \frac{1}{CR} in power of 10 so that \frac{1}{CR} is equivalent to 10-n then the oscillating frequency can be calculated by

fo = 0.33 x 10-n

[edit] Variable Frequency Oscialltor

Variable Frequency Oscialltor can be achieved through inverter with feedback circuit of

  • 2 series inductors L1 + L2 in parallel to one capacitor C
fo = 1/2π \sqrt{\frac{1}{(L_1 + L_2)C}}
  • 2 series capacitors C1 + C2 in parallel to one inductor L
fo = 1/2π \sqrt{\frac{1}{(C_1 + C_2)L}}
  • 2 series capacitors C1 + C2 in parallel to a tuned LC

[edit] Electro-Mechanical Oscillation

[edit] Crystal Oscillator

A crystal oscillator is an electronic circuit that uses the mechanical resonance of a vibrating crystal of piezoelectric material to create an electrical signal with a very precise frequency.

fo = n fc

[edit] Speaker

[edit] MicroPhone

[edit] Reference