GATE 2017 EE (EE2) – Question 33
The mean-square value of the periodic waveform f(t) shown is ________.
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Show answer and explanation
Correct answer: 6 to 6
Explanation
One period is 4 time units. The waveform is +4 for one unit, −2 for two units and zero for one unit.
Mean square averages the squared levels, so
$$\overline{f^2}=\frac{4^2(1)+(-2)^2(2)+0^2(1)}4=6.$$
Thus the answer is **6**. Its rms value would be √6, but the question asks for mean square.