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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » Alternating Current Waveform 

Alternating Current Waveform 

The Alternating Current is the primary source of power in our households. This article will discuss the meaning, examples, and terms related to the Alternating Current Waveform.

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Alternating Current changes its direction. Thus, it differs from Direct Current, which flows in a single direction. When variation of Alternating Current is represented with respect to time, it is called Alternating Current Waveform. This waveform helps us to understand the properties of Alternating Current. It also helps us determine the average and root-mean-square values, as calculating a constant value for Alternating Current is impossible.

Alternating Current Waveform Meaning

Due to changing direction of electron flow, the Alternating Current Waveform is present on both the positive and negative sides of the y-axis in the XY graph if the current is denoted on the y-axis and time on the x-axis. This is in contrast with Direct Current. Graphical representation of Direct Current is present only on one side of the y-axis, either positive or negative.

Alternating Current Waveform Examples

Sinusoidal Waveform

Typically Alternating Current Waveform is of a sinusoidal pattern. In the sinusoidal waveform, the current increases in magnitude from zero value to reaching a peak value then decreases in magnitude until it attains zero value. Then the current changes its direction and repeats the process as mentioned earlier.

This sinusoidal Alternating Current Waveform meaning can be understood through the process of generation of Alternating Current by an AC generator. In the AC generator, the voltage is produced through the magnetic flux change of a coil, based on Faraday’s law of Electromagnetic induction. The rate of magnetic flux change follows the sine function. Thus, the resultant voltage and current also follow the sinusoidal pattern. 

Terms related to Sinusoidal Alternating Current Waveforms

  • CYCLE – refers to one complete set of positive and negative values of a waveform. One cycle of a sinusoidal waveform includes one positive half cycle and one negative half cycle.

  • PERIOD (T) – refers to the time required to complete one cycle. The period of a sine wave can be measured between any two corresponding points on the waveform. It is generally measured in seconds (s).

  • FREQUENCY (f) – refers to the number of cycles completed in one second. The frequency is inversely related to the period. It is measured in Hertz (Hz).

  • ANGULAR FREQUENCY (ω) – refers to the frequency expressed in electrical radians/second. As one cycle of a sinusoidal waveform spans 2π radians, the angular frequency is denoted by ω = 2πf, where f is the frequency of the sinusoidal wave.

  • AMPLITUDE – refers to the peak height of a waveform.

Other Alternating Current Waveforms

Other Alternating Current Waveforms examples are square waveform, triangular waveform, and saw-tooth waveform. Their characteristic shapes are based on their particular generation methods.

  1. The square waveform is mainly used to represent circuit outputs and clock signals. This waveform is symmetrical, similar to a sinusoidal waveform. The symmetrical waveforms have equal durations on the positive and negative sides of the y-axis. This waveform has a flat top at the peak current level. Due to its symmetrical nature, the time taken in completing the positive half cycle is equal to the time taken in completing the negative half cycle. A simple circuit can generate this waveform.

  2. The triangular waveform has a sharper peak edge compared to the sinusoidal waveform. But it has a slower rise and decline than a sinusoidal wave. It is also symmetrical, with equal time duration for the positive and the negative half cycle.

  3. In the saw-tooth waveform, the peaks of the waveform look like the teeth of a hack-saw blade. This waveform can be of two types — positive ramp saw-tooth waveform and negative ramp saw-tooth waveform. The positive ramp saw-tooth waveform has slow rise and steep decay. On the other hand, the negative ramp saw-tooth waveform has a steep incline and slow decline. The positive ramp saw-tooth waveform is most commonly used. Musicians in representing high clarity sound also use this waveform. 

In rare instances, Alternating Current Waveform may have a complex pattern. In that case, calculating the average or root-mean-square value is complicated.

Conclusion

Understanding the meaning and examples of the Alternating Current Waveform is required to progress further in learning about the Alternating Current. It is also helpful in proving theorems and solving numerical problems related to Alternating Current. Furthermore, it also broadens our understanding of everyday phenomena such as the flickering of tube lights. It also helps us in distinguishing Alternate Current from Direct Current more clearly.

faq

Frequently Asked Questions

Get answers to the most common queries related to the JEE Examination Preparation.

What is the frequency of household Alternating Current supply in India?

Ans : Household Alternate Current in India is supplied at the frequency of 50Hz. &nbs...Read full

If the frequency of an Alternating Current is 60Hz, how many times does the Alternating Current change its direction in one second?

Ans : If the frequency is 60Hz, the Alternating Current will complete 60 cycles in one second. In o...Read full

Why Alternating Current is preferred over Direct Current for household supply?

Ans : Transmission losses are very high in the case of Direct current. Alternating Current can be t...Read full

What are the advantages of a sinusoidal waveform mathematically?

Ans : The sinusoidal waveform retains its shape even after differentiation and integration. Its mat...Read full

Why is the unit of frequency called Hertz in place of cycles per second?

Ans : The unit of frequency is called Hertz in honour of the German physicist Heinrich Hertz. He di...Read full

Who developed the Alternating Current transmission and distribution technology first?

Ans : Serbian-American physicist Nikola Tesla first developed the Alternating Current transmission ...Read full

Ans : Household Alternate Current in India is supplied at the frequency of 50Hz.

 

Ans : If the frequency is 60Hz, the Alternating Current will complete 60 cycles in one second. In one cycle, Alternating Current changes its direction two times. So it will change its direction 60×2 times in one second. Thus, the final answer is 120.

Ans : Transmission losses are very high in the case of Direct current. Alternating Current can be transmitted at a high voltage and then turned into low voltage near the supply point through transformers, thus reducing transmission loss. In addition, Alternating Current motors are much more efficient than Direct Current motors. Due to the above advantages, Alternating Current is preferred over Direct Current for household supply.

Ans : The sinusoidal waveform retains its shape even after differentiation and integration. Its mathematical calculation is also much more straightforward than other waveforms. 

Ans : The unit of frequency is called Hertz in honour of the German physicist Heinrich Hertz. He discovered electromagnetic radiation.

Ans : Serbian-American physicist Nikola Tesla first developed the Alternating Current transmission and distribution technology.

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