# How is a sinusoidal waveform generated

## How is a waveform generated?

**A Function Generator or sometimes called a Waveform Generator is a device or circuit that produces a variety of different waveforms at a desired frequency**. It can generate Sine waves, Square waves, Triangular and Sawtooth waveforms as well as other types of output waveforms.

## How does a sine wave generator work?

A sine wave generator can drive audio speakers if the wave generated is in the range of human hearing.

**Technicians first measure the wave velocity being emitted, then regenerate that with their devices to synch and usually also amplify the sounds being produced**.## Why do we generate sinusoidal AC?

Now in general, in a AC generator, the rotating motion (steady rotation) of the magnetic rotor leads to sinusoidal variation of generated voltage in the winding of the stator and consequently in any circuit which is connected to the output. Thus

**sinusoidal is taken as the best convention to represent AC quantity**.## How is a square wave generated?

Square waves are

**typically generated by metal–oxide–semiconductor field-effect transistor (MOSFET) devices due to their rapid on–off electronic switching behavior**, in contrast to BJT transistors which slowly generate signals more closely resembling sine waves rather than square waves.## How sawtooth wave is generated?

One way to generate a sawtooth is to

**slowly charge a capacitor via a constant current source, then quickly discharge the capacitor by shorting it out**. By repeating this process, a sawtooth waveform is created.## Why is the waveform sinusoidal?

The sine or sinusoidal wave is a curve that

**describes a smooth repetitive oscillation**. We can define the sine wave as “The wave form in which the amplitude is always proportional to sine of its displacement angle at every point of time”. All waves can be made by adding up sine waves.## What is sinusoidal wave equation?

A general form of a sinusoidal wave is

**y(x,t)=Asin(kx−ωt+ϕ)**y ( x , t ) = A sin ( kx − ω t + ϕ ) , where A is the amplitude of the wave, ω is the wave’s angular frequency, k is the wavenumber, and ϕ is the phase of the sine wave given in radians.## What is the output waveform if the input is sinusoidal?

The ground voltage at the inverting input terminal. We know, that the sinusoidal signal is positive for the one-half cycle and negative for another half cycle. ∴ The output will vary from + V

_{cc}to -V_{cc}. Hence, the output will be**a square wave**.## Why is a sinusoidal waveform unique?

The sine wave is important in physics because

**it retains its wave shape when added to another sine wave of the same frequency and arbitrary phase and magnitude**. It is the only periodic waveform that has this property. This property leads to its importance in Fourier analysis and makes it acoustically unique.## How complex waves are produced from sinusoidal waveforms?

**Sinusoidal waves with varying amplitudes, phases, and frequencies interacting with each other**create more complex waves. When we vary the initial waves’ amplitudes, the height of a wave’s peaks and troughs, it changes the displacement of the resultant wave.

## What is cycle of sinusoidal waveform?

One cycle of a sinusoidal waveform can also be described in terms of alternations.

**Each cycle has two alternations: a positive alternation and a negative alternation**. The positive alternation occurs while current is flowing in the same direction which is defined as the positive direction.## Why are sinusoidal waveforms preferable?

But in basic circuit analysis and AC signal analysis, we tend to use sine waves because

**they are the easiest to generate (as compared to square/ramp signals) as well as the easiest to analyze mathematically**(all our calculus tools work wonderfully for curves like the sine, but tend to be more inconvenient around things …## Why is sinusoidal wave Preferred everywhere?

First of all,

**the sine and cosine functions are uniformly continuous(so there are no discontinuous points anywhere in their domain) and infinitely differentiable on the entire Real line**. They are also easily computed by means of a Taylor series expansion.## Which characteristics can be obtained from the given sinusoidal wave?

Sinusoidal

**Amplitude, Frequency, and Phase**The three characteristics that separate one sinusoid from another are amplitude, frequency, and phase. Amplitude specifies the maximum distance between the horizontal axis and the vertical position of the waveform.

## Are all sinusoidal waves periodic?

When periodic waves have simple harmonic motion they can also be called sinusoidal waves and

**any periodic wave can be described by a combination of sinusoidal waves**. As a sinusoidal wave travels each particle undergoes simple harmonic motion with the same frequency, but does not travel with the wave.## Why the generated power is sinusoidal in nature and not triangular or rectangular?

**The angle of intersection of the coil and magnetic field varies with the rotation, so the magnitude of induced voltage can be described by a sine wave, whose period is one rotation**. So the basic method of generating AC intrinsically makes it as a sine wave.

## Why the generated power is sinusoidal in nature and not triangular or rectangular *?

We use sinusoidal waves because

**all waves, no matter what their shape, can be written as a sum of sinusoidal waves**.## What is the source of wave?

Sources of Waves

Waves are caused by **a physical disturbance or vibration**. The force of blowing wind is the physical disturbance that generates most water waves. Such waves are termed wind waves. Wind wave patterns change with seasonal wind patterns.

## What is frequency in sinusoidal wave?

Frequency. The frequency of a sine wave is

**the number of complete cycles that happen every second**. (A cycle is the same as the period, see below.) In the bouncing weight above, the frequency is about one cycle per second. In general, a sine wave is given by the formula.## Why the generated power is sinusoidal in nature?

A sinewave is just the projection along the time axis of a circle rotating at a constant speed. It’s the simplest periodic function, and occurs everywhere in nature when things rotate.

**Electrical generators rotate, so they produce voltage and current that is sinusoidal**. That is their nature.## What is the period of a sinusoidal waveform having 100 Mhz frequency?

Answer: Frequency is expressed in Hz (Frequency = cycles/seconds). To calculate the time interval of a known frequency, simply divide 1 by the frequency (e.g. a frequency of 100 Hz has a time interval of 1/(100 Hz) =

**0.01 seconds**; 500 Hz = 1/(500Hz) = 0.002 seconds, etc.)## Why is electricity sinusoidal?

The AC current that powers your home happens to be sinusoidal

**because the generators we use produce sinusoidally varying currents by default**. It is easier to use it as it is produced than convert it to something else. The net power in an AC cycle is not zero because power is a function of the square of the current.