Q.

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

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a

rms value= 20.2,average value = 12

b

rms value= 30.2,average value = 8.56

c

rms value= 15.2,average value = 12.45

d

rms value= 15.2,average value = 15

answer is D.

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Detailed Solution

The slope of the curve AB= 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           y=10+(10/T)t

This gives us the equation for the function of one cycle 

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or rms value value =107/3=15.2 

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