GATE EC 2014 Set 1 — Question 42
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Signals & Systems → Continuous-Time Signals → Energy & Power Signals
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Question
A periodic variable is shown in the figure as a function of time. The root-mean-square (rms) value of is _________.
Correct answer
0.39 to 0.42
Solution
The signal is periodic with period . In one period , the signal is defined as:
for
for The RMS value is calculated as:
Rounding to three decimal places, the value is 0.408.
for
for The RMS value is calculated as:
Rounding to three decimal places, the value is 0.408.
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