Electronics Calculations Data Handbook by McBrearty Daniel

Author:McBrearty, Daniel. [McBrearty, Daniel]
Language: eng
Format: epub
ISBN: 978-0-08-053077-2
Publisher: Elsevier Ltd.
Published: 1998-03-14T16:00:00+00:00

(4.14)

And finally, for a ‘piecewise’ signal with known RMS values over different parts of its period

(4.15)

We can see that Eqn (4.13) is just a special case of this.

By way of illustration:

Example 4.1: The triangle wave of Figure 4.4 has an AC component that goes between +4 V and −4 V. Its RMS value is therefore 0.577 × 4 = 2.31 V. It has a DC component of 5 V, so the true RMS value is:

Example 4.2: A signal consists of a high frequency sine wave of 5 V pk for 400 ms with no DC, followed by a DC voltage of 2 V for 300 ms. What is the RMS value?

RMS value of the sine wave is 5 × 0.707 = 3.54V

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