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Q.

Calculate the RMS value of the periodic time varying voltage V depicted in the figure over one time period (T).

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a

V08

b

V02

c

V0

d

V04

answer is B.

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Detailed Solution

According to defintion of rms voltage, rms value of voltage is  given by Vrms=∫0t V02dt∫0t dtTo find the rms value of voltage in the given question, we will use the above formula : Vrms=∫0 T4V02dt+∫T4T (0)dt∫0T dt(Since the voltage curve does not exist beyond T/4)=V02T4T=V024=V02
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Calculate the RMS value of the periodic time varying voltage V depicted in the figure over one time period (T).