The voltage supplied to a circuit is given by `V=V_(0)t^(3/2)`, where t is time in second. Find the rms value of voltage for the period, t=0 to t=1s.

The voltage supplied to a circuit is given by `V=V_(0)t^(3/2)`, where

1.	The voltage supplied to a circuit is given by `V=V_(0)t^(3/2)`, where t is time in second. Find the rms value of voltage for the period, t=0 to t=1s.
Answer» The mean square voltage, `barV^(2)=1/tint_(0)^(t)V^(2)dt=1/tint_(0)^(t)t^(3)dt` `=V_(0)^(2)/4[t^(4)/4]_(0)^(1)=V_(0)^(2)/4` `therefore = sqrt(barV^(2)) = V_(0)/2`

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The voltage supplied to a circuit is given by `V=V_(0)t^(3/2)`, where t is time in second. Find the rms value of voltage for the period, t=0 to t=1s.

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