It is because, sine wave can be easily produced mechanically (at power stations) compared to other forms of waves.
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Further, alternating voltage is readily stepped up or down by Transformers, something you cannot do with DC, but a very important practical property of AC electricity.
The Fourier transform of a sine wave is a pair of delta functions located at the positive and negative frequencies of the sine wave.
clamper
The voltage and current are delivered in a sine wave that goes positive and then negative at 60 cycles per second. Google sine wave to see what a sine wave looks like.
A sine wave centered at zero will have a positive peak that is the same magnitude as the negative peak. This can be offset so the negative peak magnitude does not match the positive peak magnitude. For example a 1volt peak - neutral sine wave could be DC offset by 1 volt so the positive peak is at 2 volts and the negative peak is at 0.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
An AC waveform is a sine wave and varies from positive to negative with a frequency of 60 Hertz (Cycles per Second). DC is a constant voltage and does not vary like the sine wave.
The purpose of a bridge rectifier is to basically turn AC into DC. In a half wave rectifier you just eliminate the negative part of sine wave so you have positive cycle and then zero volts for 1/2 a cycle. In a full wave you flip the negative to positive so you have continually repeating positive halfs of the sine wave. So, it is easier to filter the full wave into DC with a capacitor and you get more average power. The down side is the bridge is slightly more complex.
Yes it is constant at Zero Frequency. No, DC or Direct Current only means that the current only goes one direction, but it can have a frequency. You can have a square wave, sawtooth wave or sine wave that never goes from positive to negative or negative to positive and it would be a direct current with a frequency.
We often see the peak and trough (maximum positive and maximum negative excursions) of the sine wave considered as points of momentarily constant voltage. Those points are at phase angles of 90 degrees and at 270 degrees.
The wavelength and frequency of a sine wave are inversely related. This means that as the wavelength increases, the frequency decreases, and vice versa. The product of the wavelength and frequency of a sine wave is always equal to the speed of the wave.
A one diode rectifier is called a half wave rectifier and only allows current flow for the positive portion of the sine wave. A two diode rectifier, or full wave rectifier allows positive current flow during the positive portion of the wave as well as positive current flow during the negative portion of the sine wave. This results in a much cleaner DC power signal. The addition of a capacitor in the output circuit will clean up the signal very nicely.
If you put a diode in series with an AC sine wave that goes plus and minus, it will cut off either the positive or negative portion of the waveform, depending on the direction of the diode in circuit. So in effect you have a pulse equal to one half cycle of the sine wave.