An alternating current represented by the equation i= 4,5 sin (100×pie×t) flows through a certain series circuit. The time period of the current.
To find the time period of the current, we need to determine the period of the sine function in the equation i = 4.5 sin(100πt).
The general form of a sine function is given as y = A sin(Bx + C), where A represents the amplitude, B represents the frequency in radians per unit of x, and C represents the phase shift.
In the given equation, the amplitude (A) is 4.5, the frequency (B) is 100π, and the phase shift (C) is 0.
The period of a sine function is calculated as 2π/B. In this case, the period is 2π/(100π) = 1/50 seconds.
Therefore, the time period of the current is 1/50 seconds.