A resistance of 40 ω is connected to ac source of 220 v, 50 hz. the time taken by the current to change from its maximum value to the rms value
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Current at any instant of timeis given by:
I = Iosinωt
where Io is the maximum current.
when
I = Irms
we can write
Irms = Iosinωt
Irms = Io/√2 = Iosinωt
1/√2= sinωt
ωt = π/4
2πνt = π/4
where ν is the frequency = 50 Hzt is the time in which current reaches to rms.
t = 1/(14×2×50)
t = 0.0025 st = 2.5 milli second
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