Determine the rms and average value of the wave-form shown in fig.

Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. The slope of the curve AB is BC/AC = 20/T. Next, consider the function y at any time t. It is seen that
DE/AE = BC/AC = 10/T
or (y –10)t = 10/T
or y = 10 + (10/T)t
This gives us the equation for the function of one cycle.
Y av. =
=

=
=
= 15
Mean square value =
dt
=
dt
=

= 
or rms value =
= 15.2
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