Question #23191

1 Answer
P dilip_k
Sep 23, 2016

We know
"The current in AC at t th instant " I =I_msinomegat ....(1)
"where " I_m ="peak value of the current and "omega="frequency"
"Here " omega =50Hz=50xx2pi"rad/s"=100pi"rad/s"
I_(rms)=I_m/sqrt2

We are to find out the value of t to reach I to I_(rms)

Inserting values in equation (1)

I_m/sqrt2=I_msin(100pixxt)

=>sin(100pixxt)=1/sqrt2=sin(pi/4)

t=1/400s=2.5xx10^-3 s=2.5ms

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