Electronics Engineering

Physics

Trigonometry

Waves Vibrations and Oscillations

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Top Answer

Suppose a sine wave of the form y = A*sin(k) with

- A = amplitude or maximum value of the function y (namely when k = pi/2 or 90°)
- k = the value on the x-axis of the function

It's typical of a sine wave that it's periodic, which means the function y repeats itself after a certain period. This period is equal to 2*pi or 360°, for example:

for k = pi/2, 5*pi/2, 9*pi/2, ... the value of y will be the same and equal to A (notice that 5*pi/2 = pi/2 + 2*pi and 9*pi/2 = 5*pi/2 + 2*pi)

In physics it's a more common practice to write a sine wave as y = A*sin(omega*t) with omega the angular frequency specified in radians/s (omega refers to the Greek letter) and t the time specified in seconds.

Now, when you want to calculate the frequency f of a sine wave (which is not equal to the angular frequency) or in other words the number of complete cycles that occur per second (specified in cycle/s or s-1 or Hz), you need to know the time T required to complete one full cycle (specified in s/cycle or just s or Hz-1). The frequency f is then equal to 1/T.

Knowing omega you can calculate the frequency in a different and more common way:

since the sine wave is periodic and after a time T one cycle has been completed (thus one period), it follows that omega*T = 2*pi for the function y to have the same value after one period (the function y having the same value is equal to completing one cycle).

Let's rearrange this formula by bringing 2*pi to the left and T to the right, so we get:

omega/(2*pi) = 1/T and since 1/T = f we finally get:

f = omega / (2*pi)๐

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0here is the formula modulation index=peak freq deviation/operating freq. frm this we can calculate freq dev

The difference is in sine wave generation algorithm. In HI freq - it is 30kHz signal, modulated by 50Hz.

i dont know,,,give me ans

By shifting the sine wave by 45 degrees.

I linked a picture of a sine wave below.

Well, a pure sine wave can only be produced as a pure sine wave. If it was modified to begin with, it would never be a pure sine wave. However, an actual generator should be supplying pure sine wave output, while something such as an inverter would be producing a modified sine wave.

A sine wave is a mathematical function that describes a smooth repetitive oscillation which looks like a wave going from 1 to -1 and back to 1. A normal sine wave is much like a sine wave but has been normalized for practical uses like in electronics creating a "squared" sine wave A perfect sine wave does not exist in reality, it only exists in the minds of mathematicians.

A sine wave is the graph of y = sin(x). It demonstrates to cyclic nature of the sine function.

The voice is not a sine wave.

A: by over driving the sine wave through a buffer

sine wave is the alternating current wave which is belongs to sinusoidal function.

A square wave can be changed into a sine wave by either active filtering [recomended] or passive filtering.

a phase shifted sine wave of a different amplitude.

A sine wave has no harmonics. It only has a fundamental, so the value of the 2nd, 3rd, and 12th harmonics of a sine wave is zero.

It's called a sine wave because the waveform can be reproduced as a graph of the sine or cosine functions sin(x) or cos (x).

The sine wave, with its repeating pattern, can represent a single frequency with no harmonics.

There are 360 degrees in one cycle of a sine wave.

The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.

A simple wave function can be expressed as a trigonometric function of either sine or cosine. lamba = A sine(a+bt) or lamba = A cosine(a+bt) where lamba = the y value of the wave A= magnitude of the wave a= phase angle b= frequency. the derivative of sine is cosine and the derivative of cosine is -sine so the derivative of a sine wave function would be y'=Ab cosine(a+bt) """"""""""""""""""" cosine wave function would be y' =-Ab sine(a+bt)

The fourier series of a sine wave is 100% fundamental, 0% any harmonics.

as stated pure is like a perfect circle. a stepped sine wave will be increased toa value and increased in steps of any value.

You may use a filter which will round off the square pulse to sine wave.The higher order the filter the better the SINE wave . The Square pulse and the sine wave must both be tuned to our required frequency

See the link belowA sine wave is computed by a mathematical function. A pure sine wave in a physical sense would exactly match the calculated value in the function at every point in time.

Since a sine wave is described by the trigonometric sin(x) function, which is symmetrical, the sine wave is also symmetrical, unless there is a DC bias, in which case it is not. (It depends on your definition of symmetry)

a)set of sine waves b)set of sine waves with phase zero

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