Question

Equation of alternating current is given by i=10 root 2

Answer 1

Answer:

Answer. Instantaneous value of current I = 10√2 sin(100πt + π/6) Peak velue of current I0 = 10√2 A RMS value of current Irms = I0/√2 = 10√2 A/√2 = 10 A -------------------------------(1) Let t' be the time taken by the current to reach the RMS value. Irms = 10√2 sin(100π t' + π/6) -------------------------------------------------------------(2) Equating (1) and (2) we get 10√2 sin(100π t' + π/6) = 10 ⇒ sin(100π t' + π/6) = 1/√2 = sin (π/4) ⇒ 100π t' + π/6 = π/4 ⇒ 100 t' = 1/12 ∴ t' = (1/1200) s = 0.8 ms