Why do we use sinusoids?

Asked by: Dr. Jacinto Welch PhD
Score: 4.5/5 (46 votes)

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.

What is the use of sinusoidal wave?

A sine wave or sinusoidal wave is the most natural representation of how many things in nature change state. A sine wave shows how the amplitude of a variable changes with time. The variable could be audible sound for example.

Why do we use sine wave as carrier?

In telecommunications, a carrier wave, carrier signal, or just carrier, is a waveform (usually sinusoidal) that is modulated (modified) with an information-bearing signal for the purpose of conveying information. This carrier wave usually has a much higher frequency than the input signal does.

Why is AC always sinusoidal?

If current is positive they move in one if current is negative they move in the other direction, but not representing any sinusoidal motion. The sinusoidal current comes from the amount of electrons - this just as a sidenote. One of the reasons we mainly use AC is due to the fact of easy transformation.

28 related questions found

What is the most common type of AC waveform?

The most familiar AC waveform is the sine wave, which derives its name from the fact that the current or voltage varies with the sine of the elapsed time. Other common AC waveforms are the square wave, the ramp, the sawtooth wave, and the triangular wave.

What is RMS value of AC?

Root mean square or R.M.S. value of Alternating voltage is defined as that value of steady Potential Difference, which would generate the same amount of heat in a given resistance is given time, as is done by A.C. voltage , when maintained across the same resistance for the same time.

Why do carriers have high frequency?

To increase the energy of the signal we need to increase the frequency. This is achieved by multiplying the message signal with the carrier signal (with high frequency). this is when the carrier frequency is higher , and we noticed that bandwidth is just twice of the highest frequency of modulating signal.

Why sine wave is called sine wave?

Then the waveform shape produced by our simple single loop generator is commonly referred to as a Sine Wave as it is said to be sinusoidal in its shape. This type of waveform is called a sine wave because it is based on the trigonometric sine function used in mathematics, ( x(t) = Amax. sinθ ).

Why do we need modulation?

The communication system uses modulation to enhance the range of the signals. Most of the signals generated in daily life are sinusoidal waveforms. ... Modulation is the superimposition of the signal wave (carrying the message) with a high-frequency carrier signal to ensure faster transmission of the signal.

How are sine waves used in real life?

Sine and cosine functions are used to find the location and distances in the GPS system of the cell phone. ... In real life, sine and cosine functions can be used in space flight and polar coordinates, music, ballistic trajectories, and GPS and cell phones.

How is sine used in real life?

Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.

What creates a sine wave?

Generation of Voltage

Initially the coil is perpendicular to the magnetic field generating maximum voltage. As the coil rotates the voltage decreases according to the sine of the angle until the conductor is parallel to the magnetic field. ... For each revolution a complete sine wave is generated.

Why are sinusoidal signals important in electronics?

Sinusoids are an extremely important category of time-varying functions (or signals). Here are some examples of their uses: In the electrical power industry sinusoids are the dominant signal used to transfer power. In communication systems (cellular telephones, radio signals, etc.)

Why are sinusoids used as the building block signals in Fourier analysis?

All Fourier methods use sinusoids of different frequencies as building blocks to represent arbitrary signals. The notion of frequency is widely understood. We often talk about high frequency and low frequency sounds. ... The strength or amplitude of the sinusoids are displayed as a function of frequency.

Is a sine wave AC or DC?

An AC supply is suitable for powering some devices such as lamps and heaters but almost all electronic circuits require a steady DC supply (see below). This shape is called a sine wave. This triangular signal is AC because it changes between positive (+) and negative (-).

Do sine waves exist in nature?

Technically there are no sine waves in nature. The sinusoidal functions are just pure mathematical concepts that can be used to approximately describe some physical phenomena. The square ,triangle ,sawtooth function are also mathematical concepts that can approximately describe some phenomena.

What exactly is a sine wave?

A sine wave is a geometric waveform that oscillates (moves up, down or side-to-side) periodically, and is defined by the function y = sin x. In other words, it is an s-shaped, smooth wave that oscillates above and below zero.

Why do we need high frequency?

What is High Frequency good for? High frequency increases oxygen to the skin, improving the overall texture, tone, and glow and helps to treat acne problems. All of this promotes collagen stimulation and elastin production, providing a firmer and more youthful appearance.

How do I know what frequency my carrier is?

The carrier frequency can then be calculated as 2X99/100x1/100 which approximates to 1 in 50. Thus a rough approximation of the carrier frequency can be obtained by doubling the square root of the disease incidence. For an X-linked disorder the frequency of affected males equals the frequency of the mutant allele, q.

What are the advantages of using a high frequency carrier for transmission?

Advantage of using a high frequency carrier wave is

The main advantage of high frequency signals is that the signal may be transmitted over very long distances and thus dissipates very less power. The antenna height required for transmission is reduced at higher frequencies.

Is RMS value AC or DC?

The RMS value is the effective value of a varying voltage or current. It is the equivalent steady DC (constant) value which gives the same effect. For example, a lamp connected to a 6V RMS AC supply will shine with the same brightness when connected to a steady 6V DC supply.

Why do we need RMS value?

Attempts to find an average value of AC would directly provide you the answer zero... Hence, RMS values are used. They help to find the effective value of AC (voltage or current). This RMS is a mathematical quantity (used in many math fields) used to compare both alternating and direct currents (or voltage).

What is average value in AC?

Mean or average value of alternating current is that value of steady current which sends the same amount of charge through a circuit in a certain time interval as is sent by an alternating current through the same circuit in the same time interval.

What is the most common type of waveform?

The most common periodic waveforms are the sine, triangle, square, and sawtooth. These waveforms are said to be periodic because the wave they represent can be repeated to produce a constant tone. The faster the wave repeats, the higher the pitch of the sound. Different waveforms have different harmonics.