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Waveform of Alternating Quantity


Waveform:


     A shape formed by plotting instantaneous values of voltage or current as ordinate (y-axis) against time as abscissa(x-axis) is called waveform. 

Instantaneous Value:

    The value of alternating quantity at any instant is called instantaneous value.E.g., in above graph v=0 at t=0.

Cycle: 

    One complete set of positive and negative values of an alternating quantity.
1 cycle = 360° or 2Π  
Cycle is shown as below.

Alternation:

Half cycle is called one alternation.
1 alternation =180° or Π .
 Alternation is shown as below.

Time Period:

     Time required to complete one cycle is called time period.It is represented by T. 

Frequency: 

     The literal meaning of frequency is repetition.In alternating quantity terminology it is defined as         "Number of times alternating voltage or current cycles  are formed on graph in one second is called  frequency."
 
The unit of frequency is cycles per second or Hz.

Amplitude:

    The maximum or highest value which is attained by an alternating voltage or current on the x-axis over the cycle is called amplitude.Note that it is without sign but if we say positive amplitude it means value attained in positive alternation often called positive peak value. In the same way negative peak value is also found in the negative half cycle.

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Alternating Quantity

Alternating Quantity: Any quantity that changes its magnitude with respect to time is called alternating quantity.In electrical engineering it is known as alternating voltage or current and is defined as below  "If the polarity of the voltage changes with time, it is known as alternating voltage and the current caused by such a voltage is called an alternating current." Consider the following figure. The above figure explains that voltage or current increases with time to a certain specific value which is called peak or maximum value and after that it decreases even to reach starting position i.e 0 in our case. As time goes on the quantity reverses its direction and increases to again that maximum value which it reached out in the positive half cycle but with negative sign. After that it again follow decreasing and finally reaches the starting position again.This is the way that alternating quantity repeat itself again and again. Mathematically,      v= V m Sin