The electronic circuits used to generate periodic, oscillating signals such as sine waves or square wave,s or triangular wave are known as Oscillators. Oscillators take a DC signal and convert them into the required AC signal. These are used in numerous electronic devices where a clock signal is required. Some of the applications of oscillators are clock generators in calculators, computers, digital clocks, video games, etc… The signals generated by oscillators are also used in radio broadcasting and tuning of audio in TV. These are classified based on their output signal frequency as Low-frequency oscillator, Radio oscillator, and RF oscillator. One such classification of the oscillator is Wein-Bridge Oscillator.

## What is Wien Bridge Oscillator?

Wein Bridge Oscillator is an electronic device that generates sine waves. In the year 1891, Max Wein developed a bridge circuit to measure the impedances. William R.Hewlett designed the Wein-Bridge Oscillator using the Wein bridge circuit and the differential amplifier. Here the Wein bridge is connected in a positive feedback loop between the amplifier output and differential inputs. This can also be viewed as a band-pass filter that provides positive feedback connected to a positive gain amplifier. The bridge circuit is composed of four resistors and two capacitors. The bridge is balanced at the oscillating frequency and has a very low transfer ratio.

### Circuit Diagram of Wein Bridge Oscillator

Wein Bridge Oscillator is a two-staged RC coupled amplifier circuit. It has a feedback loop with a series R_{1}C_{1} circuit, also known as a High-pass Filter circuit, connected to a parallel R_{2}C_{2} circuit, also known as a Low-pass Filter circuit. This connection forms a selective second-order frequency-dependent Band-pass filter. This filter has a high Q- factor at a selected frequency.

The component values of both the RC circuits are the same. At the resonant frequency, the phase shift of the signal will be 0 and the circuit will have good stability and low distortions. Besides RC circuits the other two arms of the Weinbridge consist of two more resistors R_{3}, R_{4}. Below is the circuit diagram of a Wein bridge oscillator using OP-Amp.

When higher frequencies are applied, the reactance of the capacitors connected in the Wein-bridge is very low. This short circuits the resistor R_{2} and its output voltage will be zero. At lower frequencies, the higher reactance of the capacitors is observed, and capacitor C_{1} acts as an open circuit thereby causing the output voltage to be zero. This feature of Wein-bridge observed at the application of lower and higher frequencies, makes it a lead-lag circuit. Here Op-Amp is used as the non-inverting amplifier. The output voltage from the Wein-bridge is fed back to both inverting and non-inverting terminals of the Op-amp.

### Operation of Wein Bridge Oscillator using IC741

In a Wein bridge oscillator, when lower to higher frequencies are applied, at a particular frequency, the value of resistance and capacitor reactance becomes equal to each other. At this point, the maximum output voltage is observed. This frequency where maximum voltage is derived is known as the “Resonance Frequency” of the Wein bridge oscillator and is denoted as f_{r.}

The formula for the calculation of resonant frequency is as follows

**f _{r} = 1/2π√(R_{1}C_{1}R_{2}C_{2})**

**if R _{1} = R_{2} = R and C_{1} = C_{2} = C**

then,

f_{r} = 1/2πRC

At the resonant frequency, the phase shift between input and output will be zero. The magnitude of the output voltage will be one-third of the input voltage.

The output of the op-amp is given as input to the bridge circuit from points a and c. The output from the bridge is derived from points b and d and given as input to the op-amp. A portion of the amplifier output is feedback to the positive or non-inverting terminal of the op-amp through the voltage divider circuit, formed by the series combination of resistor and capacitor. Another portion of the output is feedback to the negative or inverting terminal of the op-amp, through the impedance of 2R magnitude.

Here, the feedback network provides zero phase shift. Since the amplifier is non-inverting it also has zero phase shift. Hence, the combination of feedback bridge and non-inverting amplifier produces zero phase shift around the loop. Thus, the required condition for the generation of oscillations is achieved. The circuit of the Wein bridge oscillator using IC741 is given below.

### Automatic Gain Control

To have sustained oscillations the total loop gain of the oscillator must be maintained at value 1. So, automatic gain control is required for a feedback oscillator. To achieve this a Zener diode is placed in the feedback network in parallel with resistance R3. When the output voltage reaches the Zener breakdown voltage level, the Zener diode starts conducting.

This will short circuit the resistor R3, which decreases the amplifier gain to 3 and maintains the total loop gain at 1. This method of gain control is easy but it suffers from the non-linearity of the Zener diode which inturn causes distortion in sine waves.

To overcome the limitation, JFET is placed in the negative feedback path. This JFET acts as a voltage-controlled resistance. By using JFET for automatic gain control, a stable sinusoidal waveform can be produced.

### Advantages

Some of the **advantages of the Wein-bridge oscillato**r are given below.

- The overall gain of the oscillator is high as it uses a two-stage amplifier.
- As no inductors are used in the circuit, there is no issue of interference from external magnetic fields.
- This oscillator produces a stable sinewave without any distortions.
- Here, the frequency of the oscillations can be changed by changing the values of capacitors or by the use of a variable resistor in the circuit.
- The Wein-bridge oscillator has good frequency stability.

### Disadvantages

Some of the **disadvantages of the Wein bridge oscillator** are given below.

- The two-stage amplifier type of oscillator requires more devices for construction.
- This oscillator cannot generate very high frequencies, because of the limitations placed on the amplitude and phase-shift values of the amplifier.

### Applications

Some of the applications of the Wein bridge oscillator as given below.

- These are highly used for audio testing.
- Clock signals for testing filter circuits can be generated by this oscillator.
- Used in distortion testing of power amplifiers.
- These are also used as excitation for the AC bridges.

Besides the use of an op-amp for the amplifier, Wein bridge oscillators are also constructed using transistor circuits. The various implementations of this oscillator are limited by the automatic gain control as well as the limitation of its output amplitude caused due to intentional and non-intentional linearity. What total loop gain must be maintained for the proper working of the Wien bridge oscillator?

**Image Credits:**

- Wein bridge oscillator circuit diagram using Op-Amp – EEEbooks4U
- Wein bridge oscillator using IC741 –elektroda