Question

The study of alternating electric current requires the solutions of equations of the form i equals Upper I Subscript max Baseline sine 2 pi ft comma for time t in​ seconds, where i is instantaneous current in​ amperes, Imax is maximum current in amperes and f is the number of cycles per second. Find the least positive value of​ t, given the following data. i=180, Imax=200, f=50

Answer 1

Answer:

Explanation:

i = Imax sin2πft

given i = 180 , Imax = 200 , f = 50  , t = ?

Put the give values in the equation above

180 = 200 sin 2πft

sin 2πft = .9

sin2π x 50t = .9

sin 360 x 50 t = sin ( 360n + 64 )

360 x 50 t = 360n + 64

360 x 50 t =  64 ,  ( putting n = 0 for least value of t )

18000 t = 64

t = 3.55 ms  .