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Alternating Current and voltage

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Variation of voltage with time is shown in figure.

The rms voltage is found to be ,N23V. Find N.


In such cases it is difficult to develop a single equation.

Hence, it is usual to consider two equations, one applicable from 0 to 1 ms and another from 1 to 2 ms.
For t lying between 0 and 1 ms, V1 = 4. For t lying between 1 and 2 ms, V2 = -4t+4.

(a) Vrms=1201V12dt+12V22dt



Vrms=323=423V. Hence N = 4

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